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io.github.clouatre-labs/math-mcp-learning-server

Math MCP Learning

Educational MCP server with 12 math/stats tools, visualizations, and persistent workspace

JSON report • History API • Manage this server • Global feed

Status

Healthy

Score

78.1

Transport

streamable-http

Tools

Production readiness

Verdict

Needs remediation

Current validation evidence shows operational or discovery gaps that should be fixed first.

Critical alerts

Production verdicts degrade quickly when critical alerts are active.

Evidence confidence

Confidence score

65.0

Based on 20 recent validations, 26 captured checks, and validation age of 602.2 hours.

Live checks captured

More direct checks increase trust in the current verdict.

Validation age

602.2h

Lower age means fresher evidence.

Recommended for

Claude Desktop

Claude Desktop is marked compatible with score 83.

Smithery

Smithery is marked compatible with score 100.

Generic Streamable HTTP

Generic Streamable HTTP is marked compatible with score 100.

Client readiness verdicts

Ready for ChatGPT custom connector

Partial

OpenAI connectors expect OAuth for remote server auth.; Dynamic client registration materially improves connector setup.; Transport compliance should be in good shape.

Confidence: medium (65.0)

Evidence provenance

Winner: live_validation

Supporting sources: live_validation, history, server_card

Disagreements: none

initialize • OK
tools_list • OK
transport_compliance_probe • Error
step_up_auth_probe • Missing
connector_replay_probe • OK — Frozen tool snapshots must survive refresh.
request_association_probe • Missing — Roots, sampling, and elicitation should stay request-scoped.

Ready for Claude remote MCP

Ready

Transport behavior should match Claude-compatible HTTP expectations.

Confidence: medium (65.0)

Evidence provenance

Winner: live_validation

Supporting sources: live_validation, history, server_card

Disagreements: none

initialize • OK
tools_list • OK
transport_compliance_probe • Error

Unsafe for write actions

Current write surface is bounded enough for cautious review.

Confidence: medium (65.0)

Evidence provenance

Winner: live_validation

Supporting sources: live_validation, history

Disagreements: none

action_safety_probe • OK

Snapshot churn risk

Low

No material tool-surface churn detected in the latest comparison.

Confidence: medium (65.0)

Evidence provenance

Winner: history

Supporting sources: history, live_validation

Disagreements: none

tool_snapshot_probe • OK
connector_replay_probe • OK

Why not ready by client

ChatGPT custom connector

Partial

Remediation checklist

No explicit blockers recorded.

Claude remote MCP

Ready

Remediation checklist

No explicit blockers recorded.

Write-safe publishing

Ready

Remediation checklist

No explicit blockers recorded.

Verdict traces

Production verdict

Needs remediation

Current validation evidence shows operational or discovery gaps that should be fixed first.

Confidence: medium (65.0)

Winning source: live_validation

Triggering alerts

validation_stale • medium • Validation evidence is stale

Client verdict trace table

Verdict	Status	Checks	Winning source	Conflicts
`openai_connectors`	Partial	initialize, tools_list, transport_compliance_probe, step_up_auth_probe, connector_replay_probe, request_association_probe	live_validation	none
`claude_desktop`	Ready	initialize, tools_list, transport_compliance_probe	live_validation	none
`unsafe_for_write_actions`	No	action_safety_probe	live_validation	none
`snapshot_churn_risk`	Low	tool_snapshot_probe, connector_replay_probe	history	none

Publishability policy profiles

ChatGPT custom connector publishability

Caution

OpenAI connectors expect OAuth for remote server auth.; Dynamic client registration materially improves connector setup.; Transport compliance should be in good shape.

Search Fetch Only: Yes
Write Actions Present: No
Oauth Configured: No
Admin Refresh Required: No
Safe For Company Knowledge: Yes
Safe For Messages Api Remote Mcp: No

Claude remote MCP publishability

Ready

Transport behavior should match Claude-compatible HTTP expectations.

Search Fetch Only: Yes
Write Actions Present: No
Oauth Configured: No
Admin Refresh Required: No
Safe For Company Knowledge: Yes
Safe For Messages Api Remote Mcp: No

Compatibility fixtures

ChatGPT custom connector fixture

Degraded

OpenAI connectors expect OAuth for remote server auth.; Dynamic client registration materially improves connector setup.; Transport compliance should be in good shape.

remote_http_endpoint: Passes
oauth_discovery: Degraded
frozen_tool_snapshot_refresh: Passes
request_association: Passes

Anthropic remote MCP fixture

Degraded

Transport behavior should match Claude-compatible HTTP expectations.

remote_transport: Passes
tool_discovery: Passes
auth_connect: Passes
safe_write_review: Passes

Authenticated validation sessions

Latest profile

remote_mcp

Authenticated session used

Public score isolation

✓

Preview endpoint

/v1/verify

CI preview endpoint

/v1/ci/preview

Public server reputation

Validation success 7d

n/a

Validation success 30d

1.0

Mean time to recover

n/a

Breaking diffs 30d

Registry drift frequency 30d

Snapshot changes 30d

Incident & change feed

Timestamp	Event	Details
Apr 09, 2026 12:56:56 AM UTC	Latest validation: healthy	Score 78.1 with status healthy.

Capabilities

OAuth: ✕
DCR/CIMD: ✕
Prompts: ✓
Homepage: none
Docs: none
Support: none
Icon: none
Remote endpoint: https://math-mcp.fastmcp.app/mcp
Server card: none

Use-case taxonomy

development productivity monitoring

Security posture

Tools analyzed

High-risk tools

Destructive tools

Exec tools

Egress tools

Secret tools

Bulk-access tools

Risk distribution

low:8, medium:9

Tool capability & risk inventory

Tool	Capabilities	Risk	Findings	Notes
`calc_expression`	read write	Medium	none	No explicit safeguard hints detected.
`calc_statistics`	read write	Medium	none	No explicit safeguard hints detected.
`calc_interest`	other	Low	none	No explicit safeguard hints detected.
`calc_units`	read	Low	none	No explicit safeguard hints detected.
`matrix_multiply`	read	Low	none	No explicit safeguard hints detected.
`matrix_transpose`	read	Low	none	No explicit safeguard hints detected.
`matrix_determinant`	read	Low	none	No explicit safeguard hints detected.
`matrix_inverse`	read	Low	none	No explicit safeguard hints detected.
`matrix_eigenvalues`	read	Low	none	No explicit safeguard hints detected.
`workspace_save`	write admin	Medium	admin mutation	No explicit safeguard hints detected.
`workspace_load`	write admin secrets	Medium	secret material access admin mutation	No explicit safeguard hints detected.
`plot_function`	other	Low	none	No explicit safeguard hints detected.
`plot_histogram`	read write	Medium	none	No explicit safeguard hints detected.
`plot_line_chart`	write	Medium	none	No explicit safeguard hints detected.
`plot_scatter`	write	Medium	none	No explicit safeguard hints detected.
`plot_box_plot`	read write	Medium	none	No explicit safeguard hints detected.
`plot_financial_line`	read write	Medium	none	No explicit safeguard hints detected.

Write-action governance

Governance status

Safe to publish

✓

Auth boundary

public_or_unclear

Blast radius

Low

High-risk tools

Confirmation signals

none

Safeguard count

Status detail: No unsafe write-action governance gaps detected on the latest validation.

Tool	Risk	Flags	Safeguards
No high-risk tools were detected on the latest run.

Action-controls diff

Snapshot changed

Disabled-by-default candidates

none

Manual review candidates

none

New actions

Action	Risk	Flags
No newly added actions.

Changed actions

Action	Change types	Risk
No materially changed actions.

Why this score?

Access & Protocol

33/44

Connectivity, auth, and transport expectations for common clients.

Interface Quality

44.12/56

How well the tool/resource interface communicates and behaves under automation.

Security Posture

26.5/36

How safely the exposed tool surface handles destructive actions, egress, execution, secrets, and risky inputs.

Reliability & Trust

22/24

Operational stability, consistency, and trustworthiness over time.

Discovery & Governance

22.5/28

How well the server is documented, listed, and governed in public registries.

Adoption & Market

5/8

Adoption clues and public evidence that the server is intended for external use.

Algorithmic score breakdown

Auth Operability

2/4

Measures whether auth discovery and protected access behave predictably for clients.

Error Contract Quality

2.1/4

Grades machine-readable error structure, status alignment, and remediation hints.

Rate-Limit Semantics

2/4

Checks whether quota/throttle responses are deterministic and automation-friendly.

Schema Completeness

3/4

Completeness of tool descriptions, parameter docs, examples, and schema shape.

Backward Compatibility

4/4

Stability score across tool schema/name drift relative to prior validations.

SLO Health

3/4

Availability, latency, and burst-failure profile across recent validation history.

Security Hygiene

2.5/4

HTTPS posture, endpoint hygiene, and response-surface hardening checks.

Task Success

4/4

Can an agent reliably initialize, enumerate tools, and execute core MCP flows?

Trust Confidence

3/4

Confidence-adjusted reliability score that penalizes low evidence volume.

Abuse/Noise Resilience

4/4

How well the server preserves core behavior in the presence of noisy traffic patterns.

Prompt Contract

3/4

Quality of prompt metadata, argument shape, and prompt discoverability for clients.

Resource Contract

4/4

How completely resources and resource templates describe URIs, types, and usage shape.

Discovery Metadata

3/4

Homepage, docs, icon, repository, support, and license coverage for directory consumers.

Registry Consistency

2/4

Agreement between stored registry metadata, live server-card data, and current validation output.

Installability

4/4

How cleanly a real client can connect, initialize, enumerate tools, and proceed through auth.

Session Semantics

4/4

Determinism and state behavior across repeated MCP calls, including sticky-session surprises.

Tool Surface Design

4/4

Naming clarity, schema ergonomics, and parameter complexity across the tool surface.

Result Shape Stability

4/4

Stability of declared output schemas across validations, with penalties for drift or missing shapes.

OAuth Interop

3/4

Depth and client compatibility of OAuth/OIDC metadata beyond the minimal protected-resource check.

Recovery Semantics

0/4

Whether failures include actionable machine-readable next steps such as retry or upgrade guidance.

Maintenance Signal

3/4

Versioning, update recency, and historical validation cadence that indicate active stewardship.

Adoption Signal

2/4

Directory presence and distribution clues that suggest the server is intended for external use.

Freshness Confidence

4/4

Confidence that recent validations are current enough and dense enough to trust operationally.

Transport Fidelity

4/4

Whether declared transport metadata matches the observed endpoint behavior and response formats.

Spec Recency

2/4

How close the server’s claimed MCP protocol version is to the latest known public revision.

Session Resume

4/4

Whether Streamable HTTP session identifiers and resumed requests behave cleanly for real clients.

Step-Up Auth

3/4

Whether OAuth metadata and WWW-Authenticate challenges support granular, incremental consent instead of broad upfront scopes.

Transport Compliance

2/4

Checks session headers, protocol-version enforcement, session teardown, and expired-session behavior.

Utility Coverage

3/4

Signals support for completions, pagination, and task-oriented utility surfaces that larger clients increasingly expect.

Advanced Capability Coverage

3/4

Coverage of newer MCP surfaces like roots, sampling, elicitation, structured output, and related metadata.

Connector Publishability

3/4

How ready the server looks for client catalogs and managed connector programs.

Tool Snapshot Churn

4/4

Stability of the tool surface across recent validations, including add/remove and output-shape drift.

Connector Replay

4/4

Whether a previously published frozen connector snapshot would remain backward compatible after the latest tool refresh.

Request Association

3/4

Whether roots, sampling, and elicitation appear tied to active client requests instead of arriving unsolicited on idle sessions.

Interactive Flow Safety

3/4

Whether prompts and docs steer users toward safe auth flows instead of pasting secrets directly.

Action Safety

3/4

Risk-weighted view of destructive, exec, egress, and confirmation semantics across the tool surface.

Official Registry Presence

4/4

Whether the server appears directly or indirectly in the official MCP registry.

Provenance Divergence

4/4

How closely official registry metadata, the live server card, and public repo/package signals agree with each other.

Safety Transparency

4/4

Clarity of docs, auth disclosure, support links, and other trust signals visible to integrators.

Tool Capability Clarity

4/4

How clearly the tool surface communicates whether each action reads, writes, deletes, executes, or exports data.

Destructive Operation Safety

3/4

Penalizes delete/revoke/destroy style tools unless auth and safeguards reduce blast radius.

Egress / SSRF Resilience

3/4

Assesses arbitrary URL fetch, crawl, webhook, and remote-request exposure on the tool surface.

Execution / Sandbox Safety

4/4

Evaluates shell, code, script, and command-execution exposure and whether that surface appears contained.

Data Exfiltration Resilience

3/4

Assesses export, dump, backup, and bulk-read behavior against the surrounding auth and safeguard signals.

Least Privilege Scope

2/4

Rewards scoped auth metadata and penalizes broad or missing scopes around privileged tools.

Secret Handling Hygiene

2/4

Assesses secret-bearing tools, token leakage risk, and whether the public surface avoids obvious secret exposure.

Supply Chain Signal

2.5/4

Public metadata signal for repository, changelog, license, versioning, and recency that supports supply-chain trust.

Input Sanitization Safety

3/4

Penalizes risky freeform string inputs when schemas do not constrain URLs, code, paths, queries, or templates.

Tool Namespace Clarity

4/4

Measures naming uniqueness and ambiguity across the tool namespace to reduce collision and confusion risk.

Compatibility profiles

OpenAI Connectors

66.7

partial

OpenAI connectors expect OAuth for remote server auth.; Dynamic client registration materially improves connector setup.; Transport compliance should be in good shape.

Connector URL: https://math-mcp.fastmcp.app/mcp
# No OAuth metadata detected.
# Server: io.github.clouatre-labs/math-mcp-learning-server

Claude Desktop

83.3

compatible

Transport behavior should match Claude-compatible HTTP expectations.

{
  "mcpServers": {
    "math-mcp-learning-server": {
      "command": "npx",
      "args": ["mcp-remote", "https://math-mcp.fastmcp.app/mcp"]
    }
  }
}

Smithery

100.0

compatible

No major blockers detected.

smithery mcp add "https://math-mcp.fastmcp.app/mcp"

Generic Streamable HTTP

100.0

compatible

No major blockers detected.

curl -sS https://math-mcp.fastmcp.app/mcp -H 'content-type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"initialize","params":{"protocolVersion":"2025-03-26","capabilities":{},"clientInfo":{"name":"mcp-verify","version":"0.1.0"}}}'

Actionable remediation

Severity	Remediation	Why it matters	Recommended action
High	Align session and protocol behavior with Streamable HTTP expectations	Clients increasingly rely on MCP-Protocol-Version, session teardown, and expired-session semantics.	Align MCP-Protocol-Version, MCP-Session-Id, DELETE teardown, and expired-session handling with the transport spec. Playbook Return `Mcp-Session-Id` and `Mcp-Protocol-Version` headers consistently on streamable HTTP responses. Honor `DELETE` session teardown and return `404` when a deleted session is reused. Reject invalid protocol-version headers with `400 Bad Request`.
High	Associate roots, sampling, and elicitation with active client requests	Modern MCP guidance expects roots, sampling, and elicitation traffic to be tied to an active client request instead of arriving unsolicited on idle sessions.	Inspect the latest validation evidence and resolve the client-visible regression. Playbook Inspect the latest validation evidence. Resolve the highest-severity client-facing gap first. Revalidate and confirm the score and verdict improve.
High	Expose /.well-known/oauth-protected-resource	Without a protected-resource document, OAuth clients cannot discover auth requirements reliably.	Serve /.well-known/oauth-protected-resource and point it at your authorization server metadata. Playbook Serve `/.well-known/oauth-protected-resource` from the same host as the MCP endpoint. Point it at the authorization server metadata URL. Confirm clients receive consistent auth hints before tool execution.
High	Publish OAuth authorization-server metadata	Clients need authorization-server metadata to discover issuer, endpoints, and DCR support.	Publish /.well-known/oauth-authorization-server from your issuer and include registration_endpoint when supported. Playbook Publish `/.well-known/oauth-authorization-server` from the issuer. Add `registration_endpoint` if DCR is supported. Verify issuer, authorization, token, and jwks metadata are all reachable.
High	Publish a complete server card	Missing or incomplete server-card metadata weakens discovery, documentation, and trust signals.	Serve /.well-known/mcp/server-card.json and include tools, prompts/resources, homepage, and support links. Playbook Publish `/.well-known/mcp/server-card.json`. Include homepage, repository, support, tools, prompts/resources, and auth metadata. Revalidate the server after publishing the card.
High	Stop asking users to paste secrets directly	Public MCP servers should prefer OAuth or browser-based auth guidance over in-band secret collection.	Inspect the latest validation evidence and resolve the client-visible regression. Playbook Inspect the latest validation evidence. Resolve the highest-severity client-facing gap first. Revalidate and confirm the score and verdict improve.
Medium	Adopt a current MCP protocol revision	Older protocol revisions reduce compatibility with newer clients and registry programs.	Inspect the latest validation evidence and resolve the client-visible regression. Playbook Inspect the latest validation evidence. Resolve the highest-severity client-facing gap first. Revalidate and confirm the score and verdict improve.
Medium	Close connector-publishing gaps	Connector catalogs care about protocol recency, session behavior, auth clarity, and tool-surface stability.	Inspect the latest validation evidence and resolve the client-visible regression. Playbook Inspect the latest validation evidence. Resolve the highest-severity client-facing gap first. Revalidate and confirm the score and verdict improve.
Medium	Document minimal scopes and return cleaner auth challenges	Modern clients expect granular scopes and step-up auth signals such as WWW-Authenticate scope hints.	Return granular scopes and WWW-Authenticate challenge hints instead of forcing overly broad auth upfront. Playbook Advertise the narrowest viable scopes in OAuth metadata. Return `WWW-Authenticate` challenges with scope or insufficient-scope hints when additional consent is needed. Revalidate with both public discovery and auth-required flows.
Medium	Publish OpenID configuration	OIDC metadata improves token validation and client compatibility.	Expose /.well-known/openid-configuration with issuer, jwks_uri, and supported grants. Playbook Inspect the latest validation evidence. Resolve the highest-severity client-facing gap first. Revalidate and confirm the score and verdict improve.
Medium	Respond to validation evidence is stale	Latest validation is 602.2 hours old.	Trigger a fresh validation run or increase scheduler priority for this server. Playbook Queue a new validation run now. Inspect whether the scheduler priority should be raised for this server. Do not rely on stale evidence for production decisions.
Low	Expose modern utility surfaces like completions, pagination, or tasks	Utility coverage improves interoperability with larger clients and long-lived agent workflows.	Expose completions, pagination, and task metadata where supported so larger clients can plan and resume work safely. Playbook Advertise `completions`, pagination cursors, and `tasks` only when they are actually supported. Return `nextCursor` on large list operations when pagination is available. Document task support and whether it requires step-up auth.

Point loss breakdown

Component	Current	Points missing
Recovery Semantics	0/4	-4.0
Transport Compliance	2/4	-2.0
Spec Recency	2/4	-2.0
Secret Handling Hygiene	2/4	-2.0
Registry Consistency	2/4	-2.0
Rate Limit Semantics	2/4	-2.0
Least Privilege Scope	2/4	-2.0
Auth Operability	2/4	-2.0
Adoption Signal	2/4	-2.0
Error Contract	2.1/4	-1.9
Security Hygiene	2.5/4	-1.5
Dependency Supply Chain Signal	2.5/4	-1.5

Validation diff

Score delta

Summary changed

Tool delta

Prompt delta

Auth mode changed

Write surface expanded

Protocol regressed

Registry drift changed

Regressed checks: none

Improved checks: none

Component	Previous	Latest	Delta
No component deltas between the latest two runs.

Tool snapshot diff & changelog

Snapshot changed

Added tools

none

Removed tools

none

Required-argument changes

Tool	Added required args	Removed required args
No required-argument changes detected.

Output-schema drift

Tool	Previous properties	Latest properties
No output-schema drift detected.

Connector replay

Status

Backward compatible

✓

Would break after refresh

Added tools

none

Removed tools

none

Additive output changes

none

Required-argument replay breaks

Tool	Added required args	Removed required args
No required-argument replay breaks detected.

Output-schema replay breaks

Tool	Removed properties	Added properties
No output-schema replay breaks detected.

Transport compliance drilldown

Probe status

Error

Transport

streamable-http

Session header

yes

Protocol header

Bad protocol response

400

DELETE teardown

405

Expired session retry

200

Last-Event-ID visible

Issues: missing_protocol_header, delete_session_unexpected, expired_session_not_404

Request association

Status

Missing

Advertised capabilities

none

Observed idle methods

none

Violating methods

none

Probe HTTP status

n/a

Issues

none

Utility coverage

Probe status

Warning

Completions

advertised

Completion probe target: { "argument_name": "topic", "name": "math_tutor", "type": "prompt" }

Pagination

not detected

No nextCursor evidence.

Tasks

Missing

Advertised: no

Benchmark tasks

Benchmark task	Status	Evidence
Discover tools	Passes	`initialize` • OK `tools_list` • OK
Read-only fetch flow	Passes	`resource_read` • OK `read_only_tool_surface` • OK
OAuth-required connect	Degraded	`oauth_protected_resource` • Error `step_up_auth_probe` • Missing
Safe write flow with confirmation	Passes	`action_safety_probe` • OK

Registry & provenance divergence

Probe status

Direct official match

yes

Drift fields

none

Field	Registry	Live server card
Title	n/a	n/a
Version	n/a	n/a
Homepage	n/a	n/a

Active alerts

Validation evidence is stale (medium)
Latest validation is 602.2 hours old.

Aliases & registry graph

Identifier	Source	Canonical	Score
`io.github.clouatre-labs/math-mcp-learning-server`	official_registry	yes	78.12

Alias consolidation

Canonical identifier

io.github.clouatre-labs/math-mcp-learning-server

Duplicate aliases

Registry sources

official_registry

Remote URLs

https://math-mcp.fastmcp.app/mcp

Homepages

none

Source disagreements

Field	What differs	Observed values
No source disagreements detected.

Install snippets

Openai Connectors

Connector URL: https://math-mcp.fastmcp.app/mcp
# No OAuth metadata detected.
# Server: io.github.clouatre-labs/math-mcp-learning-server

Claude Desktop

{
  "mcpServers": {
    "math-mcp-learning-server": {
      "command": "npx",
      "args": ["mcp-remote", "https://math-mcp.fastmcp.app/mcp"]
    }
  }
}

Smithery

smithery mcp add "https://math-mcp.fastmcp.app/mcp"

Generic Http

curl -sS https://math-mcp.fastmcp.app/mcp -H 'content-type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"initialize","params":{"protocolVersion":"2025-03-26","capabilities":{},"clientInfo":{"name":"mcp-verify","version":"0.1.0"}}}'

Agent access & tool surface

Live server tools

calc_expression calc_statistics calc_interest calc_units matrix_multiply matrix_transpose matrix_determinant matrix_inverse

Observed from the latest live validation against https://math-mcp.fastmcp.app/mcp. This is the target server surface, not Verify's own inspection tools.

Live capability counts

17 tools • 2 prompts • 5 resources

Counts come from the latest tools/list, prompts/list, and resources/list checks.

Inspect with Verify

search_servers recommend_servers get_server_report compare_servers

Use Verify itself to search, recommend, compare, and fetch the full report for io.github.clouatre-labs/math-mcp-learning-server.

Direct machine links

JSON report • Compare this server • Verify MCP API

Claims & monitoring

Server ownership

No verified maintainer claim recorded.

Watch subscriptions

Teams: none

Alert routing

Active watches

Generic webhooks

Slack routes

Teams routes

Email routes

Watch	Team	Channels	Minimum severity
No active watch destinations.

Maintainer analytics

Validation Run Count

Average Latency Ms

2426.46

Healthy Run Ratio Recent

1.0

Registry Presence Count

Active Alert Count

Watcher Count

Verified Claim

False

Taxonomy Tags

development, productivity, monitoring

Score Trend

78.12, 78.12, 78.12, 78.12, 78.12, 78.12, 75.0, 78.12, 78.12, 77.61

Remediation Count

High Risk Tool Count

Destructive Tool Count

Exec Tool Count

Maintainer response quality

Score

16.67

Verified claim

Support contact

Changelog present

Incident notes present

Tool changes documented

✓

Annotation history

Annotation count

Maintainer annotations

No maintainer annotations have been recorded yet.

Maintainer rebuttals & expected behavior

No maintainer rebuttals or expected-behavior overrides are recorded yet.

Latest validation evidence

Latest summary

Healthy

Validation profile

remote_mcp

Started

Apr 09, 2026 12:56:54 AM UTC

Latency

2030.1 ms

Failures

oauth_authorization_server no authorization server
oauth_protected_resource Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource' For more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404
openid_configuration no authorization server
server_card Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json' For more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404
transport_compliance_probe Issues: missing protocol header, delete session unexpected, expired session not 404 (bad protocol=400, DELETE=405, expired session=200).

Checks

Check	Status	Latency	Evidence
`action_safety_probe`	OK	n/a	No high-risk write, destructive, or exec tools detected.
`advanced_capabilities_probe`	OK	n/a	5 capability signal(s): completions, prompts, resource links, resources, +1 more.
`connector_publishability_probe`	Warning	n/a	Publishability blockers: transport compliance, server card.
`connector_replay_probe`	OK	n/a	Backward compatible with no breaking tool-surface changes.
`determinism_probe`	OK	95.4 ms	Check completed
`initialize`	OK	99.4 ms	Protocol 2025-03-26
`interactive_flow_probe`	Missing	n/a	Check completed
`oauth_authorization_server`	Missing	n/a	no authorization server
`oauth_protected_resource`	Error	129.0 ms	Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource' For more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404
`official_registry_probe`	OK	n/a	Check completed
`openid_configuration`	Missing	n/a	no authorization server
`probe_noise_resilience`	OK	89.6 ms	Fetched https://math-mcp.fastmcp.app/robots.txt
`prompt_get`	Args Required	459.5 ms	template requires args
`prompts_list`	OK	78.3 ms	2 prompt(s) exposed
`protocol_version_probe`	Warning	n/a	Claims 2025-03-26; 2 release(s) behind 2025-11-25.
`provenance_divergence_probe`	OK	n/a	Check completed
`request_association_probe`	Missing	n/a	No request-association capabilities were advertised.
`resource_read`	OK	91.6 ms	jsonrpc, method, params
`resources_list`	OK	97.2 ms	5 resource item(s) exposed
`server_card`	Error	246.5 ms	Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json' For more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404
`session_resume_probe`	OK	107.5 ms	17 tool(s) exposed
`step_up_auth_probe`	Missing	n/a	No OAuth or incremental-scope signals detected.
`tool_snapshot_probe`	OK	n/a	Check completed
`tools_list`	OK	87.5 ms	17 tool(s) exposed
`transport_compliance_probe`	Error	122.5 ms	Issues: missing protocol header, delete session unexpected, expired session not 404 (bad protocol=400, DELETE=405, expired session=200).
`utility_coverage_probe`	Warning	88.5 ms	Completions advertised; no pagination evidence; tasks missing.

Raw evidence view

Show raw JSON evidence

{
  "checks": {
    "action_safety_probe": {
      "details": {
        "auth_present": false,
        "confirmation_signals": [],
        "safeguard_count": 0,
        "summary": {
          "bulk_access_tools": 0,
          "capability_distribution": {
            "admin": 2,
            "other": 2,
            "read": 11,
            "secrets": 1,
            "write": 9
          },
          "destructive_tools": 0,
          "egress_tools": 0,
          "exec_tools": 0,
          "high_risk_tools": 0,
          "risk_distribution": {
            "critical": 0,
            "high": 0,
            "low": 8,
            "medium": 9
          },
          "secret_tools": 1,
          "tool_count": 17
        }
      },
      "latency_ms": null,
      "status": "ok"
    },
    "advanced_capabilities_probe": {
      "details": {
        "capabilities": {
          "completions": true,
          "elicitation": false,
          "prompts": true,
          "resource_links": true,
          "resources": true,
          "roots": false,
          "sampling": false,
          "structured_outputs": true
        },
        "enabled": [
          "completions",
          "prompts",
          "resource_links",
          "resources",
          "structured_outputs"
        ],
        "enabled_count": 5,
        "initialize_capability_keys": [
          "completions",
          "experimental",
          "extensions",
          "logging",
          "prompts",
          "resources",
          "tools"
        ]
      },
      "latency_ms": null,
      "status": "ok"
    },
    "connector_publishability_probe": {
      "details": {
        "blockers": [
          "transport_compliance",
          "server_card"
        ],
        "criteria": {
          "action_safety": true,
          "auth_flow": true,
          "connector_replay": true,
          "initialize": true,
          "protocol_version": true,
          "remote_transport": true,
          "request_association": true,
          "server_card": false,
          "session_resume": true,
          "step_up_auth": true,
          "tool_surface": true,
          "tools_list": true,
          "transport_compliance": false
        },
        "high_risk_tools": 0,
        "tool_count": 17,
        "transport": "streamable-http"
      },
      "latency_ms": null,
      "status": "warning"
    },
    "connector_replay_probe": {
      "details": {
        "added_tools": [],
        "additive_output_changes": [],
        "backward_compatible": true,
        "output_breaks": [],
        "removed_tools": [],
        "required_arg_breaks": [],
        "would_break_after_refresh": false
      },
      "latency_ms": null,
      "status": "ok"
    },
    "determinism_probe": {
      "details": {
        "attempts": 2,
        "baseline_signature": "275a9a6de25293147336299037ad10256917b764baf778b9cff91a11ede76b70",
        "errors": [],
        "matches": 2,
        "stable_ratio": 1.0,
        "successful": 2
      },
      "latency_ms": 95.38,
      "status": "ok"
    },
    "initialize": {
      "details": {
        "headers": {
          "content-type": "text/event-stream",
          "mcp-session-id": "d571939c-12a1-4e10-884c-0f993ce257ce"
        },
        "http_status": 200,
        "payload": {
          "id": 1,
          "jsonrpc": "2.0",
          "result": {
            "capabilities": {
              "completions": {},
              "experimental": {},
              "extensions": {
                "io.modelcontextprotocol/ui": {}
              },
              "logging": {},
              "prompts": {
                "listChanged": true
              },
              "resources": {
                "listChanged": true,
                "subscribe": false
              },
              "tools": {
                "listChanged": true
              }
            },
            "instructions": "Math Learning Server - use these tools for mathematical computation:\n\nCALCULATE: Use `calculate` for arithmetic/algebra, `statistics` for lists, `compound_interest` for finance (rate as decimal: 0.05 = 5%), `convert_units` for unit conversion (length/weight/temperature).\n\nMATRIX: Use `matrix_multiply`, `matrix_determinant`, `matrix_inverse`, `matrix_transpose`, `matrix_eigenvalues` for linear algebra.\n\nVISUALIZE: Use `plot_function`, `plot_histogram`, `plot_scatter`, `plot_line_chart`, `plot_box_plot`, `plot_financial_line` for charts.\n\nWORKSPACE: Use `save_calculation` to persist results, `load_variable` to retrieve. Results survive server restarts. View all via math://workspace resource.\n\nRESOURCES: math://functions (syntax reference), math://constants/{name} (pi/e/golden_ratio/euler_gamma/sqrt2/sqrt3), math://catalog/tools (tool index).",
            "protocolVersion": "2025-03-26",
            "serverInfo": {
              "name": "Math Learning Server",
              "version": "3.2.1"
            }
          }
        },
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 99.42,
      "status": "ok"
    },
    "interactive_flow_probe": {
      "details": {
        "oauth_supported": false,
        "prompt_available": true,
        "risk_hits": [],
        "safe_hits": []
      },
      "latency_ms": null,
      "status": "missing"
    },
    "oauth_authorization_server": {
      "details": {
        "reason": "no_authorization_server"
      },
      "latency_ms": null,
      "status": "missing"
    },
    "oauth_protected_resource": {
      "details": {
        "error": "Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource'\nFor more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404",
        "url": "https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource"
      },
      "latency_ms": 129.03,
      "status": "error"
    },
    "official_registry_probe": {
      "details": {
        "direct_match": true,
        "official_peer_count": 1,
        "registry_identifier": "io.github.clouatre-labs/math-mcp-learning-server",
        "registry_source": "official_registry"
      },
      "latency_ms": null,
      "status": "ok"
    },
    "openid_configuration": {
      "details": {
        "reason": "no_authorization_server"
      },
      "latency_ms": null,
      "status": "missing"
    },
    "probe_noise_resilience": {
      "details": {
        "headers": {
          "content-type": "text/plain; charset=utf-8"
        },
        "http_status": 404,
        "url": "https://math-mcp.fastmcp.app/robots.txt"
      },
      "latency_ms": 89.6,
      "status": "ok"
    },
    "prompt_get": {
      "details": {
        "headers": {
          "content-type": "text/event-stream"
        },
        "http_status": 200,
        "payload": {
          "error": {
            "code": -32602,
            "message": "Invalid params: Error rendering prompt 'math_tutor': Missing required arguments: {'topic'}"
          },
          "id": 4,
          "jsonrpc": "2.0"
        },
        "prompt_arguments": [
          {
            "name": "topic",
            "required": true
          },
          {
            "name": "level",
            "required": false
          },
          {
            "description": "Provide as a JSON string matching the following schema: {\"type\":\"boolean\"}",
            "name": "include_examples",
            "required": false
          }
        ],
        "prompt_name": "math_tutor",
        "reason": "template_requires_args",
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 459.5,
      "status": "template_requires_args"
    },
    "prompts_list": {
      "details": {
        "headers": {
          "content-type": "text/event-stream"
        },
        "http_status": 200,
        "payload": {
          "id": 3,
          "jsonrpc": "2.0",
          "result": {
            "prompts": [
              {
                "_meta": {
                  "fastmcp": {
                    "tags": [
                      "education",
                      "explanation",
                      "math",
                      "tutoring"
                    ]
                  }
                },
                "arguments": [
                  {
                    "name": "topic",
                    "required": true
                  },
                  {
                    "name": "level",
                    "required": false
                  },
                  {
                    "description": "Provide as a JSON string matching the following schema: {\"type\":\"boolean\"}",
                    "name": "include_examples",
                    "required": false
                  }
                ],
                "description": "Generate a structured math tutoring prompt for a mathematical concept at a chosen difficulty level, optionally including step-by-step worked examples.",
                "name": "math_tutor",
                "title": "Math Tutor"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": [
                      "education",
                      "explanation",
                      "formulas",
                      "math"
                    ]
                  }
                },
                "arguments": [
                  {
                    "name": "formula",
                    "required": true
                  },
                  {
                    "name": "context",
                    "required": false
                  }
                ],
                "description": "Generate a comprehensive prompt for explaining a mathematical formula: variable definitions, contextual background, step-by-step breakdown, example calculation, real-world applications, and common mistakes.",
                "name": "formula_explainer",
                "title": "Formula Explainer"
              }
            ]
          }
        },
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 78.35,
      "status": "ok"
    },
    "protocol_version_probe": {
      "details": {
        "claimed_version": "2025-03-26",
        "lag_days": 244,
        "latest_known_version": "2025-11-25",
        "releases_behind": 2,
        "validator_protocol_version": "2025-03-26"
      },
      "latency_ms": null,
      "status": "warning"
    },
    "provenance_divergence_probe": {
      "details": {
        "direct_official_match": true,
        "drift_fields": [],
        "metadata_document_count": 1,
        "registry_homepage": null,
        "registry_repository": null,
        "registry_title": null,
        "registry_version": null,
        "server_card_homepage": null,
        "server_card_repository": null,
        "server_card_title": null,
        "server_card_version": null
      },
      "latency_ms": null,
      "status": "ok"
    },
    "request_association_probe": {
      "details": {
        "reason": "no_request_association_capabilities_advertised"
      },
      "latency_ms": null,
      "status": "missing"
    },
    "resource_read": {
      "details": {
        "headers": {
          "content-type": "text/event-stream"
        },
        "http_status": 200,
        "payload": {
          "jsonrpc": "2.0",
          "method": "notifications/message",
          "params": {
            "data": {
              "extra": null,
              "msg": "Accessing function reference documentation"
            },
            "level": "info"
          }
        },
        "resource_uri": "math://functions",
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 91.56,
      "status": "ok"
    },
    "resources_list": {
      "details": {
        "headers": {
          "content-type": "text/event-stream"
        },
        "http_status": 200,
        "payload": {
          "id": 5,
          "jsonrpc": "2.0",
          "result": {
            "resources": [
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "description": "List all available mathematical functions with examples and syntax help.",
                "mimeType": "text/plain",
                "name": "list_available_functions",
                "uri": "math://functions"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "description": "Get the history of calculations performed across sessions.",
                "mimeType": "text/plain",
                "name": "get_calculation_history",
                "uri": "math://history"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": false,
                  "readOnlyHint": true
                },
                "description": "Get persistent calculation workspace showing all saved variables.\n\nThis resource displays the complete state of the persistent workspace,\nincluding all saved calculations, metadata, and statistics. The workspace\nsurvives server restarts and is accessible across different transport modes.",
                "mimeType": "text/plain",
                "name": "get_workspace",
                "uri": "math://workspace"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "description": "Catalog of all available tools with category, description, and example.",
                "mimeType": "text/plain",
                "name": "list_tools_catalog",
                "uri": "math://catalog/tools"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "description": "List all variable names saved in the workspace (lightweight alternative to math://workspace).",
                "mimeType": "text/plain",
                "name": "list_variable_names",
                "uri": "math://variables"
              }
            ]
          }
        },
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 97.21,
      "status": "ok"
    },
    "server_card": {
      "details": {
        "error": "Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json'\nFor more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404",
        "url": "https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json"
      },
      "latency_ms": 246.51,
      "status": "error"
    },
    "session_resume_probe": {
      "details": {
        "headers": {
          "content-type": "text/event-stream",
          "mcp-session-id": "d571939c-12a1-4e10-884c-0f993ce257ce"
        },
        "http_status": 200,
        "payload": {
          "id": 301,
          "jsonrpc": "2.0",
          "result": {
            "tools": [
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Mathematical Calculator"
                },
                "description": "Safely evaluate mathematical expressions with support for basic operations and math functions.\n\nSupported operations: +, -, *, /, **, ()\nSupported functions: sin, cos, tan, log, sqrt, abs, pow\n\nNote:\n    Use this tool to evaluate a single mathematical expression. To compute descriptive statistics over a list of numbers, use the statistics tool instead.\n\nExamples:\n- \"2 + 3 * 4\" \u2192 14\n- \"sqrt(16)\" \u2192 4.0\n- \"sin(3.14159/2)\" \u2192 1.0",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "expression": {
                      "description": "Mathematical expression to evaluate. Supports +, -, *, /, **, and math functions (sin, cos, sqrt, log, etc.). Example: '2 * sin(pi/4) + sqrt(16)'",
                      "maxLength": 500,
                      "type": "string"
                    }
                  },
                  "required": [
                    "expression"
                  ],
                  "type": "object"
                },
                "name": "calc_expression",
                "outputSchema": {
                  "description": "Result of a mathematical expression evaluation.",
                  "properties": {
                    "difficulty": {
                      "type": "string"
                    },
                    "expression": {
                      "type": "string"
                    },
                    "result": {
                      "type": "number"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "expression",
                    "result",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Mathematical Calculator"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Statistical Analysis"
                },
                "description": "Perform statistical calculations on a list of numbers.\n\nAvailable operations: mean, median, mode, std_dev, variance\n\nNote:\n    Use this tool to compute descriptive statistics over a list of numbers. To evaluate a single mathematical expression, use the calculate tool instead.\n\nExamples:\n    statistics([1.0, 2.5, 3.0, 4.5, 5.0], \"mean\")  # Returns 3.2\n    statistics([1.0, 2.5, 3.0, 4.5, 5.0], \"std_dev\")  # Returns ~1.58",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "numbers": {
                      "description": "List of numbers to compute descriptive statistics on. Example: [1.0, 2.5, 3.0, 4.5, 5.0]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "operation": {
                      "description": "Statistical operation to perform. Allowed values: mean, median, mode, std_dev, variance",
                      "examples": [
                        "mean",
                        "median",
                        "mode",
                        "std_dev",
                        "variance"
                      ],
                      "type": "string"
                    }
                  },
                  "required": [
                    "numbers",
                    "operation"
                  ],
                  "type": "object"
                },
                "name": "calc_statistics",
                "outputSchema": {
                  "description": "Result of statistical calculation.",
                  "properties": {
                    "difficulty": {
                      "type": "string"
                    },
                    "operation": {
                      "type": "string"
                    },
                    "result": {
                      "type": "number"
                    },
                    "sample_size": {
                      "type": "integer"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "operation",
                    "result",
                    "sample_size",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Statistical Analysis"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Compound Interest Calculator"
                },
                "description": "Calculate compound interest for investments.\n\nFormula: A = P(1 + r/n)^(nt)\nWhere:\n- P = principal amount\n- r = annual interest rate (as decimal)\n- n = number of times interest compounds per year\n- t = time in years\n\nExamples:\n    compound_interest(10000, 0.05, 5)  # $10,000 at 5% for 5 years \u2192 $12,762.82\n    compound_interest(5000, 0.03, 10, 12)  # $5,000 at 3% compounded monthly \u2192 $6,744.25",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "compounds_per_year": {
                      "default": 12,
                      "description": "Compounding frequency per year (must be > 0): 12=monthly, 365=daily",
                      "exclusiveMinimum": 0,
                      "type": "integer"
                    },
                    "principal": {
                      "description": "Initial investment amount in dollars (must be > 0), e.g. 1000.0",
                      "exclusiveMinimum": 0,
                      "type": "number"
                    },
                    "rate": {
                      "description": "Annual interest rate as decimal 0.0-1.0 (e.g. 0.05 = 5%). If entering a percentage, divide by 100 first.",
                      "maximum": 1.0,
                      "minimum": 0,
                      "type": "number"
                    },
                    "time": {
                      "description": "Investment time in years (must be > 0), e.g. 10.0",
                      "exclusiveMinimum": 0,
                      "type": "number"
                    }
                  },
                  "required": [
                    "principal",
                    "rate",
                    "time"
                  ],
                  "type": "object"
                },
                "name": "calc_interest",
                "outputSchema": {
                  "description": "Result of compound interest calculation.",
                  "properties": {
                    "compounds_per_year": {
                      "type": "integer"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "final_amount": {
                      "type": "number"
                    },
                    "formula": {
                      "type": "string"
                    },
                    "principal": {
                      "type": "number"
                    },
                    "rate": {
                      "type": "number"
                    },
                    "time": {
                      "type": "number"
                    },
                    "topic": {
                      "type": "string"
                    },
                    "total_interest": {
                      "type": "number"
                    }
                  },
                  "required": [
                    "principal",
                    "final_amount",
                    "total_interest",
                    "rate",
                    "time",
                    "compounds_per_year",
                    "difficulty",
                    "topic",
                    "formula"
                  ],
                  "type": "object"
                },
                "title": "Compound Interest Calculator"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Unit Converter"
                },
                "description": "Convert between different units of measurement.\n\nSupported unit types:\n- length: mm, cm, m, km, in, ft, yd, mi\n- weight: g, kg, oz, lb\n- temperature: c, f, k (Celsius, Fahrenheit, Kelvin)\n\nExamples:\n    convert_units(5, \"km\", \"mi\", \"length\")  # 5 kilometers \u2192 3.11 miles\n    convert_units(150, \"lb\", \"kg\", \"weight\")  # 150 pounds \u2192 68.04 kilograms",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "from_unit": {
                      "description": "Source unit abbreviation. Valid units depend on unit_type: length (mm, cm, m, km, in, ft, yd, mi), weight (g, kg, oz, lb), temperature (c, f, k)",
                      "examples": [
                        "m",
                        "kg",
                        "c"
                      ],
                      "type": "string"
                    },
                    "to_unit": {
                      "description": "Target unit abbreviation. Valid units depend on unit_type: length (mm, cm, m, km, in, ft, yd, mi), weight (g, kg, oz, lb), temperature (c, f, k)",
                      "examples": [
                        "ft",
                        "lb",
                        "f"
                      ],
                      "type": "string"
                    },
                    "unit_type": {
                      "description": "Unit category: length, weight, or temperature",
                      "examples": [
                        "length",
                        "weight",
                        "temperature"
                      ],
                      "type": "string"
                    },
                    "value": {
                      "description": "Numeric value to convert, e.g., 100.0",
                      "type": "number"
                    }
                  },
                  "required": [
                    "value",
                    "from_unit",
                    "to_unit",
                    "unit_type"
                  ],
                  "type": "object"
                },
                "name": "calc_units",
                "outputSchema": {
                  "description": "Result of unit conversion.",
                  "properties": {
                    "converted_value": {
                      "type": "number"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "from_unit": {
                      "type": "string"
                    },
                    "to_unit": {
                      "type": "string"
                    },
                    "topic": {
                      "type": "string"
                    },
                    "unit_type": {
                      "type": "string"
                    },
                    "value": {
                      "type": "number"
                    }
                  },
                  "required": [
                    "value",
                    "from_unit",
                    "to_unit",
                    "converted_value",
                    "unit_type",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Unit Converter"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Multiplication"
                },
                "description": "Multiply two matrices (A \u00d7 B).\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_multiply([[1, 2], [3, 4]], [[5, 6], [7, 8]])\n    matrix_multiply([[1, 2, 3]], [[1], [2], [3]])",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix_a": {
                      "description": "2D list of numbers representing the first matrix. Each inner list is a row. Example: [[1, 2], [3, 4]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "matrix_b": {
                      "description": "2D list of numbers representing the second matrix. Each inner list is a row. Example: [[5, 6], [7, 8]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    }
                  },
                  "required": [
                    "matrix_a",
                    "matrix_b"
                  ],
                  "type": "object"
                },
                "name": "matrix_multiply",
                "outputSchema": {
                  "description": "Result of matrix multiplication operation.",
                  "properties": {
                    "cols_a": {
                      "type": "integer"
                    },
                    "cols_b": {
                      "type": "integer"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "result_matrix": {
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "type": "array"
                    },
                    "rows_a": {
                      "type": "integer"
                    },
                    "rows_b": {
                      "type": "integer"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "rows_a",
                    "cols_a",
                    "rows_b",
                    "cols_b",
                    "result_matrix",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Multiplication"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Transpose"
                },
                "description": "Transpose a matrix (swap rows and columns).\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_transpose([[1, 2, 3], [4, 5, 6]])\n    matrix_transpose([[1], [2], [3]])",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix": {
                      "description": "2D list of numbers representing the matrix. Each inner list is a row. Example: [[1, 2, 3], [4, 5, 6]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    }
                  },
                  "required": [
                    "matrix"
                  ],
                  "type": "object"
                },
                "name": "matrix_transpose",
                "outputSchema": {
                  "description": "Result of matrix transpose operation.",
                  "properties": {
                    "difficulty": {
                      "type": "string"
                    },
                    "original_cols": {
                      "type": "integer"
                    },
                    "original_rows": {
                      "type": "integer"
                    },
                    "result_matrix": {
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "type": "array"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "original_rows",
                    "original_cols",
                    "result_matrix",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Transpose"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Determinant"
                },
                "description": "Calculate the determinant of a square matrix.\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_determinant([[1, 2], [3, 4]])\n    matrix_determinant([[1, 0, 0], [0, 1, 0], [0, 0, 1]])  # Identity matrix",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix": {
                      "description": "2D list of numbers representing a square matrix. Each inner list is a row. Example: [[1, 2], [3, 4]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    }
                  },
                  "required": [
                    "matrix"
                  ],
                  "type": "object"
                },
                "name": "matrix_determinant",
                "outputSchema": {
                  "description": "Result of matrix determinant calculation.",
                  "properties": {
                    "determinant": {
                      "type": "number"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "size": {
                      "type": "integer"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "size",
                    "determinant",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Determinant"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Inverse"
                },
                "description": "Calculate the inverse of a square matrix.\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_inverse([[1, 2], [3, 4]])\n    matrix_inverse([[2, 0], [0, 2]])  # Diagonal matrix",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix": {
                      "description": "2D list of numbers representing a square matrix. Each inner list is a row. Example: [[1, 2], [3, 4]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    }
                  },
                  "required": [
                    "matrix"
                  ],
                  "type": "object"
                },
                "name": "matrix_inverse",
                "outputSchema": {
                  "description": "Result of matrix inverse calculation.",
                  "properties": {
                    "difficulty": {
                      "type": "string"
                    },
                    "error": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "result_matrix": {
                      "anyOf": [
                        {
                          "items": {
                            "items": {
                              "type": "number"
                            },
                            "type": "array"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "size": {
                      "type": "integer"
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "size",
                    "success",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Inverse"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Eigenvalues"
                },
                "description": "Calculate the eigenvalues of a square matrix.\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_eigenvalues([[4, 2], [1, 3]])\n    matrix_eigenvalues([[3, 0, 0], [0, 5, 0], [0, 0, 7]])  # Diagonal matrix",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix": {
                      "description": "2D list of numbers representing a square matrix. Each inner list is a row. Example: [[4, 2], [1, 3]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    }
                  },
                  "required": [
                    "matrix"
                  ],
                  "type": "object"
                },
                "name": "matrix_eigenvalues",
                "outputSchema": {
                  "description": "Result of matrix eigenvalues calculation.",
                  "properties": {
                    "complex_eigenvalues_warning": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "complex_values": {
                      "anyOf": [
                        {
                          "items": {
                            "type": "string"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "eigenvalues": {
                      "anyOf": [
                        {
                          "items": {
                            "type": "number"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "eigenvectors": {
                      "anyOf": [
                        {
                          "items": {
                            "items": {
                              "type": "number"
                            },
                            "type": "array"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "error": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "size": {
                      "type": "integer"
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "topic": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "size",
                    "success",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Eigenvalues"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": false,
                  "openWorldHint": false,
                  "readOnlyHint": false,
                  "title": "Save Calculation to Workspace"
                },
                "description": "Save calculation to persistent workspace (survives restarts).\n\nExamples:\n    save_calculation(\"portfolio_return\", \"10000 * 1.07^5\", 14025.52)\n    save_calculation(\"circle_area\", \"pi * 5^2\", 78.54)",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "expression": {
                      "description": "The mathematical expression that was evaluated. Example: 'pi * r**2'",
                      "maxLength": 500,
                      "type": "string"
                    },
                    "name": {
                      "description": "Variable name for the saved calculation. Used to retrieve it later. Example: 'circle_area'",
                      "maxLength": 50,
                      "type": "string"
                    },
                    "result": {
                      "description": "Numeric result of evaluating the expression, e.g., 78.54",
                      "type": "number"
                    }
                  },
                  "required": [
                    "name",
                    "expression",
                    "result"
                  ],
                  "type": "object"
                },
                "name": "workspace_save",
                "outputSchema": {
                  "description": "Result of saving a calculation to the workspace.",
                  "properties": {
                    "action": {
                      "default": "save_calculation",
                      "type": "string"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "expression": {
                      "type": "string"
                    },
                    "is_new": {
                      "type": "boolean"
                    },
                    "name": {
                      "type": "string"
                    },
                    "result": {
                      "type": "number"
                    },
                    "session_id": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "topic": {
                      "type": "string"
                    },
                    "total_variables": {
                      "type": "integer"
                    }
                  },
                  "required": [
                    "name",
                    "expression",
                    "result",
                    "success",
                    "is_new",
                    "total_variables",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Save Calculation to Workspace"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Load Variable"
                },
                "description": "Load previously saved calculation result from workspace.\n\nExamples:\n    load_variable(\"portfolio_return\")  # Returns saved calculation\n    load_variable(\"circle_area\")       # Access across sessions",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "name": {
                      "description": "Name of the variable to load from workspace, e.g., 'circle_area'",
                      "type": "string"
                    }
                  },
                  "required": [
                    "name"
                  ],
                  "type": "object"
                },
                "name": "workspace_load",
                "outputSchema": {
                  "description": "Result of loading a variable from the workspace.",
                  "properties": {
                    "action": {
                      "type": "string"
                    },
                    "available_variables": {
                      "anyOf": [
                        {
                          "items": {
                            "type": "string"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "difficulty": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "error": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "expression": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "name": {
                      "type": "string"
                    },
                    "result": {
                      "anyOf": [
                        {
                          "type": "number"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "session_id": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "timestamp": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "topic": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    }
                  },
                  "required": [
                    "success",
                    "name",
                    "action"
                  ],
                  "type": "object"
                },
                "title": "Load Variable"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Function Plotter"
                },
                "description": "Generate mathematical function plots (requires matplotlib).\n\nExamples:\n    plot_function(\"x**2\", (-5, 5))\n    plot_function(\"sin(x)\", (-3.14, 3.14))",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "expression": {
                      "description": "Mathematical expression to plot, e.g., \"x**2\" or \"sin(x)\". Must be <= MAX_EXPRESSION_LENGTH characters. Example: \"x**2\"",
                      "maxLength": 500,
                      "type": "string"
                    },
                    "num_points": {
                      "default": 100,
                      "description": "Number of sample points to plot along x_range, e.g., 100",
                      "maximum": 10000,
                      "minimum": 2,
                      "type": "integer"
                    },
                    "x_range": {
                      "description": "X-axis range as (min, max), e.g., (-5.0, 5.0)",
                      "maxItems": 2,
                      "minItems": 2,
                      "prefixItems": [
                        {
                          "type": "number"
                        },
                        {
                          "type": "number"
                        }
                      ],
                      "type": "array"
                    }
                  },
                  "required": [
                    "expression",
                    "x_range"
                  ],
                  "type": "object"
                },
                "name": "plot_function",
                "title": "Function Plotter"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Statistical Histogram"
                },
                "description": "Create statistical histograms (requires matplotlib).\n\nExamples:\n    plot_histogram([1.0, 2.0, 2.5, 3.0, 3.5, 4.0, 5.0])\n    plot_histogram([10, 20, 30, 40, 50], bins=5, title=\"Test Scores\")",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "bins": {
                      "default": 20,
                      "description": "Number of histogram bins, e.g., 20",
                      "type": "integer"
                    },
                    "data": {
                      "description": "List of numeric values to bin, e.g., [1.0, 2.0, 2.5, 3.0]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "title": {
                      "default": "Data Distribution",
                      "description": "Chart title string, e.g., 'Data Distribution'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "data"
                  ],
                  "type": "object"
                },
                "name": "plot_histogram",
                "title": "Statistical Histogram"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Line Chart"
                },
                "description": "Create a line chart from data points (requires matplotlib).\n\nNote:\n    Use for general XY data. For time-series price data with optional moving average, use plot_financial_line instead.\n\nExamples:\n    plot_line_chart([1, 2, 3, 4], [1, 4, 9, 16], title=\"Squares\")\n    plot_line_chart([0, 1, 2], [0, 1, 4], color='red', x_label='Time', y_label='Distance')",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Line color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "show_grid": {
                      "default": true,
                      "description": "Whether to display grid lines",
                      "type": "boolean"
                    },
                    "title": {
                      "default": "Line Chart",
                      "description": "Chart title string, e.g., 'Squares'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "x_data": {
                      "description": "X-axis data points, e.g., [1, 2, 3, 4]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "x_label": {
                      "default": "X",
                      "description": "X-axis label, e.g., 'Time'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_data": {
                      "description": "Y-axis data points, e.g., [1, 4, 9, 16]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "y_label": {
                      "default": "Y",
                      "description": "Y-axis label, e.g., 'Distance'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "x_data",
                    "y_data"
                  ],
                  "type": "object"
                },
                "name": "plot_line_chart",
                "title": "Line Chart"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Scatter Plot"
                },
                "description": "Create a scatter plot from data points (requires matplotlib).\n\nExamples:\n    plot_scatter([1, 2, 3, 4], [1, 4, 9, 16], title=\"Correlation Study\")\n    plot_scatter([1, 2, 3], [2, 4, 5], color='purple', point_size=100)",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Point color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "point_size": {
                      "default": 50,
                      "description": "Scatter point size in points^2, e.g., 50",
                      "type": "integer"
                    },
                    "title": {
                      "default": "Scatter Plot",
                      "description": "Chart title string, e.g., 'Correlation Study'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "x_data": {
                      "description": "X-axis data points, e.g., [1, 2, 3, 4]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "x_label": {
                      "default": "X",
                      "description": "X-axis label, e.g., 'Variable X'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_data": {
                      "description": "Y-axis data points, e.g., [1, 4, 9, 16]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "y_label": {
                      "default": "Y",
                      "description": "Y-axis label, e.g., 'Variable Y'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "x_data",
                    "y_data"
                  ],
                  "type": "object"
                },
                "name": "plot_scatter",
                "title": "Scatter Plot"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Box Plot"
                },
                "description": "Create a box plot for comparing distributions (requires matplotlib).\n\nExamples:\n    plot_box_plot([[1, 2, 3, 4, 5], [2, 4, 6, 8, 10]], group_labels=[\"A\", \"B\"])\n    plot_box_plot([[10, 20, 30], [15, 25, 35], [5, 15, 25]], title=\"Comparison\")",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Box color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "data_groups": {
                      "description": "List of data groups to compare, e.g., [[1, 2, 3], [4, 5, 6]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 100,
                      "type": "array"
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                          "items": {
                            "type": "string"
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                          "maxItems": 100,
                          "type": "array"
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                      ],
                      "default": null,
                      "description": "Labels for each group, e.g., ['Group A', 'Group B']"
                    },
                    "title": {
                      "default": "Box Plot",
                      "description": "Chart title string, e.g., 'Distribution Comparison'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_label": {
                      "default": "Values",
                      "description": "Y-axis label, e.g., 'Values'",
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                      "type": "string"
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                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Financial Line Chart"
                },
                "description": "Generate and plot synthetic financial price data (requires matplotlib).\n\nCreates realistic price movement patterns for educational purposes.\nDoes not use real market data.\n\nNote:\n    Use for time-series price data with optional moving average overlay. For general XY data, use plot_line_chart instead.\n\nExamples:\n    plot_financial_line(days=60, trend='bullish')\n    plot_financial_line(days=90, trend='volatile', start_price=150.0, color='orange')",
                "inputSchema": {
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                          "maxLength": 100,
                          "type": "string"
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                          "type": "null"
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                      ],
                      "default": null,
                      "description": "Line color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "days": {
                      "default": 30,
                      "description": "Number of days to generate, e.g., 30",
                      "maximum": 1000,
                      "minimum": 2,
                      "type": "integer"
                    },
                    "start_price": {
                      "default": 100.0,
                      "description": "Starting price value, e.g., 100.0",
                      "type": "number"
                    },
                    "trend": {
                      "default": "bullish",
                      "description": "Market trend direction",
                      "examples": [
                        "bullish",
                        "bearish",
                        "volatile"
                      ],
                      "type": "string"
                    }
                  },
                  "type": "object"
                },
                "name": "plot_financial_line",
                "title": "Financial Line Chart"
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                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Mathematical Calculator"
                },
                "description": "Safely evaluate mathematical expressions with support for basic operations and math functions.\n\nSupported operations: +, -, *, /, **, ()\nSupported functions: sin, cos, tan, log, sqrt, abs, pow\n\nNote:\n    Use this tool to evaluate a single mathematical expression. To compute descriptive statistics over a list of numbers, use the statistics tool instead.\n\nExamples:\n- \"2 + 3 * 4\" \u2192 14\n- \"sqrt(16)\" \u2192 4.0\n- \"sin(3.14159/2)\" \u2192 1.0",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
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                      "maxLength": 500,
                      "type": "string"
                    }
                  },
                  "required": [
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                  ],
                  "type": "object"
                },
                "name": "calc_expression",
                "outputSchema": {
                  "description": "Result of a mathematical expression evaluation.",
                  "properties": {
                    "difficulty": {
                      "type": "string"
                    },
                    "expression": {
                      "type": "string"
                    },
                    "result": {
                      "type": "number"
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                    "topic": {
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                  },
                  "required": [
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                  "type": "object"
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                "title": "Mathematical Calculator"
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                },
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                  "idempotentHint": true,
                  "openWorldHint": false,
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                },
                "description": "Perform statistical calculations on a list of numbers.\n\nAvailable operations: mean, median, mode, std_dev, variance\n\nNote:\n    Use this tool to compute descriptive statistics over a list of numbers. To evaluate a single mathematical expression, use the calculate tool instead.\n\nExamples:\n    statistics([1.0, 2.5, 3.0, 4.5, 5.0], \"mean\")  # Returns 3.2\n    statistics([1.0, 2.5, 3.0, 4.5, 5.0], \"std_dev\")  # Returns ~1.58",
                "inputSchema": {
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                  "properties": {
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                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "operation": {
                      "description": "Statistical operation to perform. Allowed values: mean, median, mode, std_dev, variance",
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                        "median",
                        "mode",
                        "std_dev",
                        "variance"
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                      "type": "string"
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                      "type": "string"
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                      "type": "number"
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                "title": "Statistical Analysis"
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                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Compound Interest Calculator"
                },
                "description": "Calculate compound interest for investments.\n\nFormula: A = P(1 + r/n)^(nt)\nWhere:\n- P = principal amount\n- r = annual interest rate (as decimal)\n- n = number of times interest compounds per year\n- t = time in years\n\nExamples:\n    compound_interest(10000, 0.05, 5)  # $10,000 at 5% for 5 years \u2192 $12,762.82\n    compound_interest(5000, 0.03, 10, 12)  # $5,000 at 3% compounded monthly \u2192 $6,744.25",
                "inputSchema": {
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                  "properties": {
                    "compounds_per_year": {
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                      "exclusiveMinimum": 0,
                      "type": "integer"
                    },
                    "principal": {
                      "description": "Initial investment amount in dollars (must be > 0), e.g. 1000.0",
                      "exclusiveMinimum": 0,
                      "type": "number"
                    },
                    "rate": {
                      "description": "Annual interest rate as decimal 0.0-1.0 (e.g. 0.05 = 5%). If entering a percentage, divide by 100 first.",
                      "maximum": 1.0,
                      "minimum": 0,
                      "type": "number"
                    },
                    "time": {
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                      "exclusiveMinimum": 0,
                      "type": "number"
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                  },
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                    "rate",
                    "time"
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                "name": "calc_interest",
                "outputSchema": {
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                  "properties": {
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                      "type": "integer"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "final_amount": {
                      "type": "number"
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                    "formula": {
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                    "principal": {
                      "type": "number"
                    },
                    "rate": {
                      "type": "number"
                    },
                    "time": {
                      "type": "number"
                    },
                    "topic": {
                      "type": "string"
                    },
                    "total_interest": {
                      "type": "number"
                    }
                  },
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                    "final_amount",
                    "total_interest",
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                    "compounds_per_year",
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                  ],
                  "type": "object"
                },
                "title": "Compound Interest Calculator"
              },
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                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Unit Converter"
                },
                "description": "Convert between different units of measurement.\n\nSupported unit types:\n- length: mm, cm, m, km, in, ft, yd, mi\n- weight: g, kg, oz, lb\n- temperature: c, f, k (Celsius, Fahrenheit, Kelvin)\n\nExamples:\n    convert_units(5, \"km\", \"mi\", \"length\")  # 5 kilometers \u2192 3.11 miles\n    convert_units(150, \"lb\", \"kg\", \"weight\")  # 150 pounds \u2192 68.04 kilograms",
                "inputSchema": {
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                  "properties": {
                    "from_unit": {
                      "description": "Source unit abbreviation. Valid units depend on unit_type: length (mm, cm, m, km, in, ft, yd, mi), weight (g, kg, oz, lb), temperature (c, f, k)",
                      "examples": [
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                      "examples": [
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                        "lb",
                        "f"
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                      "examples": [
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                        "weight",
                        "temperature"
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                      "type": "string"
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                    "value": {
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                      "type": "number"
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                  "required": [
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                    "unit_type"
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                  "type": "object"
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                      "type": "string"
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                    "from_unit": {
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                    "to_unit": {
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                      "type": "string"
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                },
                "title": "Unit Converter"
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                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Multiplication"
                },
                "description": "Multiply two matrices (A \u00d7 B).\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_multiply([[1, 2], [3, 4]], [[5, 6], [7, 8]])\n    matrix_multiply([[1, 2, 3]], [[1], [2], [3]])",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "matrix_a": {
                      "description": "2D list of numbers representing the first matrix. Each inner list is a row. Example: [[1, 2], [3, 4]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
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                      "type": "array"
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                          "type": "number"
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                        "type": "array"
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                    "matrix_b"
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                },
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                  "properties": {
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                    },
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                      "type": "integer"
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                      "type": "string"
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                  "openWorldHint": false,
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                },
                "description": "Transpose a matrix (swap rows and columns).\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_transpose([[1, 2, 3], [4, 5, 6]])\n    matrix_transpose([[1], [2], [3]])",
                "inputSchema": {
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                  "type": "object"
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                "title": "Matrix Transpose"
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                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Matrix Determinant"
                },
                "description": "Calculate the determinant of a square matrix.\n\nNote:\n    Requires NumPy. Raises ValueError if NumPy is unavailable.\n\nExamples:\n    matrix_determinant([[1, 2], [3, 4]])\n    matrix_determinant([[1, 0, 0], [0, 1, 0], [0, 0, 1]])  # Identity matrix",
                "inputSchema": {
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                          "type": "number"
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                        "type": "array"
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                      "type": "array"
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                "name": "matrix_determinant",
                "outputSchema": {
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                      "type": "number"
                    },
                    "difficulty": {
                      "type": "string"
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                    "size": {
                      "type": "integer"
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                      "type": "string"
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                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
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                },
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                "inputSchema": {
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                        "items": {
                          "type": "number"
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                        "type": "array"
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                      "type": "array"
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                          "type": "string"
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                  "openWorldHint": false,
                  "readOnlyHint": true,
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                },
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                "name": "matrix_eigenvalues",
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                          "type": "string"
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                        {
                          "type": "null"
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                            "type": "number"
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                          "type": "array"
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                        {
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                            "items": {
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                            "type": "array"
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                          "type": "array"
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                          "type": "null"
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                      "default": null
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                          "type": "string"
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                          "type": "null"
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                      "type": "integer"
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                    "success": {
                      "type": "boolean"
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                      "type": "string"
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                  },
                  "required": [
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                    "success",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Matrix Eigenvalues"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": false,
                  "openWorldHint": false,
                  "readOnlyHint": false,
                  "title": "Save Calculation to Workspace"
                },
                "description": "Save calculation to persistent workspace (survives restarts).\n\nExamples:\n    save_calculation(\"portfolio_return\", \"10000 * 1.07^5\", 14025.52)\n    save_calculation(\"circle_area\", \"pi * 5^2\", 78.54)",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "expression": {
                      "description": "The mathematical expression that was evaluated. Example: 'pi * r**2'",
                      "maxLength": 500,
                      "type": "string"
                    },
                    "name": {
                      "description": "Variable name for the saved calculation. Used to retrieve it later. Example: 'circle_area'",
                      "maxLength": 50,
                      "type": "string"
                    },
                    "result": {
                      "description": "Numeric result of evaluating the expression, e.g., 78.54",
                      "type": "number"
                    }
                  },
                  "required": [
                    "name",
                    "expression",
                    "result"
                  ],
                  "type": "object"
                },
                "name": "workspace_save",
                "outputSchema": {
                  "description": "Result of saving a calculation to the workspace.",
                  "properties": {
                    "action": {
                      "default": "save_calculation",
                      "type": "string"
                    },
                    "difficulty": {
                      "type": "string"
                    },
                    "expression": {
                      "type": "string"
                    },
                    "is_new": {
                      "type": "boolean"
                    },
                    "name": {
                      "type": "string"
                    },
                    "result": {
                      "type": "number"
                    },
                    "session_id": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "topic": {
                      "type": "string"
                    },
                    "total_variables": {
                      "type": "integer"
                    }
                  },
                  "required": [
                    "name",
                    "expression",
                    "result",
                    "success",
                    "is_new",
                    "total_variables",
                    "difficulty",
                    "topic"
                  ],
                  "type": "object"
                },
                "title": "Save Calculation to Workspace"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Load Variable"
                },
                "description": "Load previously saved calculation result from workspace.\n\nExamples:\n    load_variable(\"portfolio_return\")  # Returns saved calculation\n    load_variable(\"circle_area\")       # Access across sessions",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "name": {
                      "description": "Name of the variable to load from workspace, e.g., 'circle_area'",
                      "type": "string"
                    }
                  },
                  "required": [
                    "name"
                  ],
                  "type": "object"
                },
                "name": "workspace_load",
                "outputSchema": {
                  "description": "Result of loading a variable from the workspace.",
                  "properties": {
                    "action": {
                      "type": "string"
                    },
                    "available_variables": {
                      "anyOf": [
                        {
                          "items": {
                            "type": "string"
                          },
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "difficulty": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "error": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "expression": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "name": {
                      "type": "string"
                    },
                    "result": {
                      "anyOf": [
                        {
                          "type": "number"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "session_id": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "success": {
                      "type": "boolean"
                    },
                    "timestamp": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    },
                    "topic": {
                      "anyOf": [
                        {
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null
                    }
                  },
                  "required": [
                    "success",
                    "name",
                    "action"
                  ],
                  "type": "object"
                },
                "title": "Load Variable"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Function Plotter"
                },
                "description": "Generate mathematical function plots (requires matplotlib).\n\nExamples:\n    plot_function(\"x**2\", (-5, 5))\n    plot_function(\"sin(x)\", (-3.14, 3.14))",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "expression": {
                      "description": "Mathematical expression to plot, e.g., \"x**2\" or \"sin(x)\". Must be <= MAX_EXPRESSION_LENGTH characters. Example: \"x**2\"",
                      "maxLength": 500,
                      "type": "string"
                    },
                    "num_points": {
                      "default": 100,
                      "description": "Number of sample points to plot along x_range, e.g., 100",
                      "maximum": 10000,
                      "minimum": 2,
                      "type": "integer"
                    },
                    "x_range": {
                      "description": "X-axis range as (min, max), e.g., (-5.0, 5.0)",
                      "maxItems": 2,
                      "minItems": 2,
                      "prefixItems": [
                        {
                          "type": "number"
                        },
                        {
                          "type": "number"
                        }
                      ],
                      "type": "array"
                    }
                  },
                  "required": [
                    "expression",
                    "x_range"
                  ],
                  "type": "object"
                },
                "name": "plot_function",
                "title": "Function Plotter"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Statistical Histogram"
                },
                "description": "Create statistical histograms (requires matplotlib).\n\nExamples:\n    plot_histogram([1.0, 2.0, 2.5, 3.0, 3.5, 4.0, 5.0])\n    plot_histogram([10, 20, 30, 40, 50], bins=5, title=\"Test Scores\")",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "bins": {
                      "default": 20,
                      "description": "Number of histogram bins, e.g., 20",
                      "type": "integer"
                    },
                    "data": {
                      "description": "List of numeric values to bin, e.g., [1.0, 2.0, 2.5, 3.0]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "title": {
                      "default": "Data Distribution",
                      "description": "Chart title string, e.g., 'Data Distribution'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "data"
                  ],
                  "type": "object"
                },
                "name": "plot_histogram",
                "title": "Statistical Histogram"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Line Chart"
                },
                "description": "Create a line chart from data points (requires matplotlib).\n\nNote:\n    Use for general XY data. For time-series price data with optional moving average, use plot_financial_line instead.\n\nExamples:\n    plot_line_chart([1, 2, 3, 4], [1, 4, 9, 16], title=\"Squares\")\n    plot_line_chart([0, 1, 2], [0, 1, 4], color='red', x_label='Time', y_label='Distance')",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Line color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "show_grid": {
                      "default": true,
                      "description": "Whether to display grid lines",
                      "type": "boolean"
                    },
                    "title": {
                      "default": "Line Chart",
                      "description": "Chart title string, e.g., 'Squares'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "x_data": {
                      "description": "X-axis data points, e.g., [1, 2, 3, 4]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "x_label": {
                      "default": "X",
                      "description": "X-axis label, e.g., 'Time'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_data": {
                      "description": "Y-axis data points, e.g., [1, 4, 9, 16]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "y_label": {
                      "default": "Y",
                      "description": "Y-axis label, e.g., 'Distance'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "x_data",
                    "y_data"
                  ],
                  "type": "object"
                },
                "name": "plot_line_chart",
                "title": "Line Chart"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Scatter Plot"
                },
                "description": "Create a scatter plot from data points (requires matplotlib).\n\nExamples:\n    plot_scatter([1, 2, 3, 4], [1, 4, 9, 16], title=\"Correlation Study\")\n    plot_scatter([1, 2, 3], [2, 4, 5], color='purple', point_size=100)",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Point color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "point_size": {
                      "default": 50,
                      "description": "Scatter point size in points^2, e.g., 50",
                      "type": "integer"
                    },
                    "title": {
                      "default": "Scatter Plot",
                      "description": "Chart title string, e.g., 'Correlation Study'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "x_data": {
                      "description": "X-axis data points, e.g., [1, 2, 3, 4]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "x_label": {
                      "default": "X",
                      "description": "X-axis label, e.g., 'Variable X'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_data": {
                      "description": "Y-axis data points, e.g., [1, 4, 9, 16]",
                      "items": {
                        "type": "number"
                      },
                      "maxItems": 10000,
                      "type": "array"
                    },
                    "y_label": {
                      "default": "Y",
                      "description": "Y-axis label, e.g., 'Variable Y'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "x_data",
                    "y_data"
                  ],
                  "type": "object"
                },
                "name": "plot_scatter",
                "title": "Scatter Plot"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Box Plot"
                },
                "description": "Create a box plot for comparing distributions (requires matplotlib).\n\nExamples:\n    plot_box_plot([[1, 2, 3, 4, 5], [2, 4, 6, 8, 10]], group_labels=[\"A\", \"B\"])\n    plot_box_plot([[10, 20, 30], [15, 25, 35], [5, 15, 25]], title=\"Comparison\")",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Box color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "data_groups": {
                      "description": "List of data groups to compare, e.g., [[1, 2, 3], [4, 5, 6]]",
                      "items": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "maxItems": 100,
                      "type": "array"
                    },
                    "group_labels": {
                      "anyOf": [
                        {
                          "items": {
                            "type": "string"
                          },
                          "maxItems": 100,
                          "type": "array"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Labels for each group, e.g., ['Group A', 'Group B']"
                    },
                    "title": {
                      "default": "Box Plot",
                      "description": "Chart title string, e.g., 'Distribution Comparison'",
                      "maxLength": 100,
                      "type": "string"
                    },
                    "y_label": {
                      "default": "Values",
                      "description": "Y-axis label, e.g., 'Values'",
                      "maxLength": 100,
                      "type": "string"
                    }
                  },
                  "required": [
                    "data_groups"
                  ],
                  "type": "object"
                },
                "name": "plot_box_plot",
                "title": "Box Plot"
              },
              {
                "_meta": {
                  "fastmcp": {
                    "tags": []
                  }
                },
                "annotations": {
                  "idempotentHint": true,
                  "openWorldHint": false,
                  "readOnlyHint": true,
                  "title": "Financial Line Chart"
                },
                "description": "Generate and plot synthetic financial price data (requires matplotlib).\n\nCreates realistic price movement patterns for educational purposes.\nDoes not use real market data.\n\nNote:\n    Use for time-series price data with optional moving average overlay. For general XY data, use plot_line_chart instead.\n\nExamples:\n    plot_financial_line(days=60, trend='bullish')\n    plot_financial_line(days=90, trend='volatile', start_price=150.0, color='orange')",
                "inputSchema": {
                  "additionalProperties": false,
                  "properties": {
                    "color": {
                      "anyOf": [
                        {
                          "maxLength": 100,
                          "type": "string"
                        },
                        {
                          "type": "null"
                        }
                      ],
                      "default": null,
                      "description": "Line color (name or hex code, e.g., 'blue', '#2E86AB')"
                    },
                    "days": {
                      "default": 30,
                      "description": "Number of days to generate, e.g., 30",
                      "maximum": 1000,
                      "minimum": 2,
                      "type": "integer"
                    },
                    "start_price": {
                      "default": 100.0,
                      "description": "Starting price value, e.g., 100.0",
                      "type": "number"
                    },
                    "trend": {
                      "default": "bullish",
                      "description": "Market trend direction",
                      "examples": [
                        "bullish",
                        "bearish",
                        "volatile"
                      ],
                      "type": "string"
                    }
                  },
                  "type": "object"
                },
                "name": "plot_financial_line",
                "title": "Financial Line Chart"
              }
            ]
          }
        },
        "url": "https://math-mcp.fastmcp.app/mcp"
      },
      "latency_ms": 87.45,
      "status": "ok"
    },
    "transport_compliance_probe": {
      "details": {
        "bad_protocol_error": null,
        "bad_protocol_headers": {
          "content-type": "application/json",
          "mcp-session-id": "d571939c-12a1-4e10-884c-0f993ce257ce"
        },
        "bad_protocol_payload": {
          "error": {
            "code": -32600,
            "message": "Bad Request: Unsupported protocol version: 1999-99-99. Supported versions: 2024-11-05, 2025-03-26, 2025-06-18, 2025-11-25"
          },
          "id": "server-error",
          "jsonrpc": "2.0"
        },
        "bad_protocol_status_code": 400,
        "delete_error": null,
        "delete_status_code": 405,
        "expired_session_error": null,
        "expired_session_status_code": 200,
        "issues": [
          "missing_protocol_header",
          "delete_session_unexpected",
          "expired_session_not_404"
        ],
        "last_event_id_visible": false,
        "protocol_header_present": false,
        "requested_protocol_version": "2025-03-26",
        "session_id_present": true,
        "transport": "streamable-http"
      },
      "latency_ms": 122.51,
      "status": "error"
    },
    "utility_coverage_probe": {
      "details": {
        "completions": {
          "advertised": true,
          "live_probe": "not_executed",
          "sample_target": {
            "argument_name": "topic",
            "name": "math_tutor",
            "type": "prompt"
          }
        },
        "initialize_capability_keys": [
          "completions",
          "experimental",
          "extensions",
          "logging",
          "prompts",
          "resources",
          "tools"
        ],
        "pagination": {
          "metadata_signal": false,
          "next_cursor_methods": [],
          "supported": false
        },
        "tasks": {
          "advertised": false,
          "http_status": 200,
          "probe_status": "missing"
        }
      },
      "latency_ms": 88.47,
      "status": "warning"
    }
  },
  "failures": {
    "oauth_authorization_server": {
      "reason": "no_authorization_server"
    },
    "oauth_protected_resource": {
      "error": "Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource'\nFor more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404",
      "url": "https://math-mcp.fastmcp.app/.well-known/oauth-protected-resource"
    },
    "openid_configuration": {
      "reason": "no_authorization_server"
    },
    "server_card": {
      "error": "Client error '404 Not Found' for url 'https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json'\nFor more information check: https://developer.mozilla.org/en-US/docs/Web/HTTP/Status/404",
      "url": "https://math-mcp.fastmcp.app/.well-known/mcp/server-card.json"
    },
    "transport_compliance_probe": {
      "bad_protocol_error": null,
      "bad_protocol_headers": {
        "content-type": "application/json",
        "mcp-session-id": "d571939c-12a1-4e10-884c-0f993ce257ce"
      },
      "bad_protocol_payload": {
        "error": {
          "code": -32600,
          "message": "Bad Request: Unsupported protocol version: 1999-99-99. Supported versions: 2024-11-05, 2025-03-26, 2025-06-18, 2025-11-25"
        },
        "id": "server-error",
        "jsonrpc": "2.0"
      },
      "bad_protocol_status_code": 400,
      "delete_error": null,
      "delete_status_code": 405,
      "expired_session_error": null,
      "expired_session_status_code": 200,
      "issues": [
        "missing_protocol_header",
        "delete_session_unexpected",
        "expired_session_not_404"
      ],
      "last_event_id_visible": false,
      "protocol_header_present": false,
      "requested_protocol_version": "2025-03-26",
      "session_id_present": true,
      "transport": "streamable-http"
    }
  },
  "remote_url": "https://math-mcp.fastmcp.app/mcp",
  "server_card_payload": null,
  "server_identifier": "io.github.clouatre-labs/math-mcp-learning-server"
}

Known versions

0.9.1

Validation history

7 day score delta

+0.0

30 day score delta

+0.0

Recent healthy ratio

100%

Freshness

602.2h

Timestamp	Status	Score	Latency	Tools
Apr 09, 2026 12:56:56 AM UTC	Healthy	78.1	2030.1 ms	17
Apr 08, 2026 12:53:23 AM UTC	Healthy	78.1	1996.9 ms	17
Apr 07, 2026 12:48:52 AM UTC	Healthy	78.1	1938.2 ms	17
Apr 06, 2026 12:45:36 AM UTC	Healthy	78.1	2003.5 ms	17
Apr 05, 2026 12:44:03 AM UTC	Healthy	78.1	2094.7 ms	17
Apr 04, 2026 12:43:05 AM UTC	Healthy	78.1	2082.7 ms	17
Apr 03, 2026 12:37:50 AM UTC	Healthy	75.0	2166.3 ms	17
Apr 02, 2026 12:26:57 AM UTC	Healthy	78.1	1690.9 ms	17

Validation timeline

Validated	Summary	Score	Protocol	Auth mode	Tools	Changes
Apr 09, 2026 12:56:56 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 08, 2026 12:53:23 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 07, 2026 12:48:52 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 06, 2026 12:45:36 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 05, 2026 12:44:03 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 04, 2026 12:43:05 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Apr 03, 2026 12:37:50 AM UTC	Healthy	75.0	2025-03-26	public	17	tool_snapshot_changed
Apr 02, 2026 12:26:57 AM UTC	Healthy	78.1	2025-03-26	public	17	none
Mar 31, 2026 11:57:49 PM UTC	Healthy	78.1	2025-03-26	public	17	none
Mar 30, 2026 11:53:17 PM UTC	Healthy	77.6	2025-03-26	public	17	none
Mar 29, 2026 11:27:52 PM UTC	Healthy	77.6	2025-03-26	public	17	none
Mar 28, 2026 10:09:03 PM UTC	Healthy	77.6	2025-03-26	public	17	none

Recent validation runs

Started	Status	Summary	Latency	Checks
Apr 09, 2026 12:56:54 AM UTC	Completed	Healthy	2030.1 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 08, 2026 12:53:21 AM UTC	Completed	Healthy	1996.9 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 07, 2026 12:48:50 AM UTC	Completed	Healthy	1938.2 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 06, 2026 12:45:34 AM UTC	Completed	Healthy	2003.5 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 05, 2026 12:44:01 AM UTC	Completed	Healthy	2094.7 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 04, 2026 12:43:03 AM UTC	Completed	Healthy	2082.7 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 03, 2026 12:37:48 AM UTC	Completed	Healthy	2166.3 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Apr 02, 2026 12:26:55 AM UTC	Completed	Healthy	1690.9 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Mar 31, 2026 11:57:47 PM UTC	Completed	Healthy	2306.7 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe
Mar 30, 2026 11:53:15 PM UTC	Completed	Healthy	2467.6 ms	action_safety_probe, advanced_capabilities_probe, connector_publishability_probe, connector_replay_probe, determinism_probe, initialize, interactive_flow_probe, oauth_authorization_server, oauth_protected_resource, official_registry_probe, openid_configuration, probe_noise_resilience, prompt_get, prompts_list, protocol_version_probe, provenance_divergence_probe, request_association_probe, resource_read, resources_list, server_card, session_resume_probe, step_up_auth_probe, tool_snapshot_probe, tools_list, transport_compliance_probe, utility_coverage_probe