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Returns true if it is nighttime.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"}},"type":"object"},"name":"x402-is-night"},{"description":"Is Numeric: Is Numeric","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-numeric"},{"description":"Is Octagonal: Is Octagonal","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-octagonal"},{"description":"Is Octal: Validate whether a string consists only of octal digits (0-7). Returns true for valid octal notation like '755'.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-octal"},{"description":"Is Palindromic Number: Is Palindromic Number","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-palindromic-number"},{"description":"Is Passport: Is Passport","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-passport"},{"description":"Is Past: Check whether a given date or timestamp is in the past relative to now. Useful for deadline or expiry checks.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-past"},{"description":"x402-token-risk-report: On-chain token risk score (0-100) from GoPlus security signals + DexScreener liquidity; optional AI narrative.","inputSchema":{"properties":{"address":{"description":"Address to process","type":"string"},"ai":{"description":"Ai to process","type":"string"},"chain":{"description":"Chain to process","type":"string"},"token":{"description":"Token to process","type":"string"}},"type":"object"},"name":"x402-token-risk-report"},{"description":"Add Days: Add days to a date.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"days":{"description":"Days to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-add-days"},{"description":"Add Months: Add Months","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"months":{"description":"Months to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-add-months"},{"description":"Add Years: Add Years","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"n":{"description":"N to process","type":"string"},"years":{"description":"Years to process","type":"string"}},"type":"object"},"name":"x402-add-years"},{"description":"Address Normalize: Address Normalize","inputSchema":{"properties":{"address":{"description":"Address to process","type":"string"},"input":{"description":"Input to process","type":"string"}},"type":"object"},"name":"x402-address-normalize"},{"description":"Adjusted R Squared: Adjusted R Squared","inputSchema":{"properties":{"actual":{"description":"Actual to process","type":"string"},"predictors":{"description":"Predictors to process","type":"string"}},"type":"object"},"name":"x402-adjusted-r-squared"},{"description":"Advice Slip: Advice Slip","inputSchema":{"properties":{},"type":"object"},"name":"x402-advice-slip"},{"description":"Aliquot Sequence: Aliquot sequence of a number.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-aliquot-sequence"},{"description":"API Key Detect: Detect exposed API keys in text.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-api-key-detect"},{"description":"Base32: Base32 encode/decode.","inputSchema":{"properties":{"data":{"description":"Data to process","type":"string"},"input":{"description":"Input to process","type":"string"},"mode":{"description":"Mode to process","type":"string"},"op":{"description":"Op to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-base32"},{"description":"Base58: Base58 encode/decode.","inputSchema":{"properties":{"data":{"description":"Data to process","type":"string"},"input":{"description":"Input to process","type":"string"},"mode":{"description":"Mode to process","type":"string"},"op":{"description":"Op to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-base58"},{"description":"Changelog Gen: Generate a changelog.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-changelog-gen"},{"description":"Charset Detect: Detect text character encoding.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-charset-detect"},{"description":"Distance2d: Distance2d","inputSchema":{"properties":{"x1":{"description":"X1 to process","type":"string"},"x2":{"description":"X2 to process","type":"string"},"y1":{"description":"Y1 to process","type":"string"},"y2":{"description":"Y2 to process","type":"string"}},"type":"object"},"name":"x402-distance2d"},{"description":"Duration Human: Format a duration in human terms.","inputSchema":{"properties":{"milliseconds":{"description":"Milliseconds to process","type":"string"},"ms":{"description":"Ms to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-duration-human"},{"description":"Ean13 Check: Ean13 Check","inputSchema":{"properties":{"value":{"description":"Value to 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Opposite of x402-inflation-adjust. Returns direction=deflate.","inputSchema":{"properties":{"inflation":{"description":"Inflation to process","type":"string"},"n":{"description":"N to process","type":"string"},"rate":{"description":"Rate to process","type":"string"},"value":{"description":"Value to process","type":"string"},"years":{"description":"Years to process","type":"string"}},"type":"object"},"name":"x402-inflation-adj"},{"description":"Insertion Sort: Insertion Sort","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-insertion-sort"},{"description":"Interpolation: Interpolation","inputSchema":{"properties":{"x":{"description":"X to process","type":"string"},"x0":{"description":"X0 to process","type":"string"},"x1":{"description":"X1 to process","type":"string"},"y0":{"description":"Y0 to process","type":"string"},"y1":{"description":"Y1 to process","type":"string"}},"type":"object"},"name":"x402-interpolation"},{"description":"Intersect: Intersect","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"}},"type":"object"},"name":"x402-intersect"},{"description":"Inventory Turnover: Inventory Turnover","inputSchema":{"properties":{"averageInventory":{"description":"AverageInventory to process","type":"string"},"cogs":{"description":"Cogs to process","type":"string"}},"type":"object"},"name":"x402-inventory-turnover"},{"description":"Is Mersenne: Is Mersenne","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-mersenne"},{"description":"Is Mersenne Prime: Is Mersenne Prime","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-mersenne-prime"},{"description":"Is Palindromic Prime: Is Palindromic Prime","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-is-palindromic-prime"},{"description":"Market Overview: Major token snapshot with 24h sentiment.","inputSchema":{"properties":{},"type":"object"},"name":"x402-market-overview"},{"description":"x402-token-arbitrage-spot: Cross-DEX/chain price spread scanner: highest vs lowest pair price -> spread % (arbitrage signal).","inputSchema":{"properties":{"address":{"description":"Address to process","type":"string"},"token":{"description":"Token to process","type":"string"}},"type":"object"},"name":"x402-token-arbitrage-spot"},{"description":"x402-token-price: x402-token-price — utility service","inputSchema":{"properties":{"address":{"description":"Address to process","type":"string"},"token":{"description":"Token to process","type":"string"}},"type":"object"},"name":"x402-token-price"},{"description":"x402-whois: WHOIS domain registration lookup via RDAP (registrar, dates, nameservers).","inputSchema":{"properties":{"domain":{"description":"Domain to process","type":"string"},"host":{"description":"Host to process","type":"string"}},"type":"object"},"name":"x402-whois"},{"description":"Acres To Hectares: Convert acres to hectares.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-acres-to-hectares"},{"description":"Address Validate: Address Validate","inputSchema":{"properties":{"address":{"description":"Address to process","type":"string"},"input":{"description":"Input to process","type":"string"}},"type":"object"},"name":"x402-address-validate"},{"description":"Adjacency Matrix: Adjacency Matrix","inputSchema":{"properties":{"edges":{"description":"Edges to process","type":"string"}},"type":"object"},"name":"x402-adjacency-matrix"},{"description":"Age Calculate: Age Calculate","inputSchema":{"properties":{"birthdate":{"description":"Birthdate to process","type":"string"},"dob":{"description":"Dob to process","type":"string"}},"type":"object"},"name":"x402-age-calculate"},{"description":"Agent Toolkit: Composite transformation: extracts structured data, entities, tables, and stats from text. One call replaces 4 endpoints.","inputSchema":{"properties":{"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-agent-toolkit"},{"description":"AI Chat: Chat with an AI assistant.","inputSchema":{"properties":{"message":{"description":"Message to process","type":"string"},"prompt":{"description":"Prompt to process","type":"string"}},"type":"object"},"name":"x402-ai-chat"},{"description":"Aliquot Sum: Sum of proper divisors (aliquot sum).","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-aliquot-sum"},{"description":"Angle Unit: Convert between angle units.","inputSchema":{"properties":{"from":{"description":"From to process","type":"string"},"to":{"description":"To to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-angle-unit"},{"description":"Annulus Area: Area of an annulus (ring).","inputSchema":{"properties":{"innerRadius":{"description":"InnerRadius to process","type":"string"},"outerRadius":{"description":"OuterRadius to process","type":"string"}},"type":"object"},"name":"x402-annulus-area"},{"description":"Answer Score: Score an answer against expected keywords.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-answer-score"},{"description":"Area: Convert an area value between square meters, square kilometers, hectares, acres, and square feet. Provide value and from/to units (e.g. from=ha,to=m2).","inputSchema":{"properties":{"from":{"description":"From to process","type":"string"},"to":{"description":"To to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-area"},{"description":"Area Size: Convert between area units.","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"height":{"description":"Height to process","type":"string"},"length":{"description":"Length to process","type":"string"},"radius":{"description":"Radius to process","type":"string"},"shape":{"description":"Shape to process","type":"string"},"side":{"description":"Side to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-area-size"},{"description":"Aspect Ratio: Aspect ratio calculation.","inputSchema":{"properties":{"height":{"description":"Height to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-aspect-ratio"},{"description":"Aspect Ratio Calc: Aspect Ratio Calc","inputSchema":{"properties":{"ratio":{"description":"Ratio to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-aspect-ratio-calc"},{"description":"Asset Turnover: Asset Turnover","inputSchema":{"properties":{"revenue":{"description":"Revenue to process","type":"string"},"totalAssets":{"description":"TotalAssets to process","type":"string"}},"type":"object"},"name":"x402-asset-turnover"},{"description":"Astronomical Unit: Astronomical Unit","inputSchema":{"properties":{},"type":"object"},"name":"x402-astronomical-unit"},{"description":"Atom Parse: Atom Parse","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"xml":{"description":"Xml to process","type":"string"}},"type":"object"},"name":"x402-atom-parse"},{"description":"Atr: Calculate Average True Range (ATR), a volatility indicator. Provide high/low/close price arrays and an optional period (default 14).","inputSchema":{"properties":{"close":{"description":"Close to process","type":"string"},"high":{"description":"High to process","type":"string"},"low":{"description":"Low to process","type":"string"},"period":{"description":"Period to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-atr"},{"description":"Avatar Generate: Avatar Generate","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"name":{"description":"Name to process","type":"string"},"seed":{"description":"Seed to process","type":"string"},"style":{"description":"Style to process","type":"string"}},"type":"object"},"name":"x402-avatar-generate"},{"description":"Avg Sentence Length: Length of avg sentence.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-avg-sentence-length"},{"description":"Avogadro: Return Avogadro's constant (6.02214076 x 10^23), the number of constituent particles in one mole of a substance.","inputSchema":{"properties":{},"type":"object"},"name":"x402-avogadro"},{"description":"Bar To Psi: Convert bar to PSI.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-bar-to-psi"},{"description":"Base64 Decode: Base64 Decode","inputSchema":{"properties":{"base64":{"description":"Base64 to process","type":"string"},"data":{"description":"Data to process","type":"string"}},"type":"object"},"name":"x402-base64-decode"},{"description":"Base64url: Base64url","inputSchema":{"properties":{"data":{"description":"Data to process","type":"string"},"input":{"description":"Input to process","type":"string"},"mode":{"description":"Mode to process","type":"string"},"op":{"description":"Op to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-base64url"},{"description":"Bearing: Calculate the initial bearing (compass direction in degrees 0-360) between two GPS coordinates given lat1/lon1 and lat2/lon2.","inputSchema":{"properties":{"lat1":{"description":"Lat1 to process","type":"string"},"lat2":{"description":"Lat2 to process","type":"string"},"lon1":{"description":"Lon1 to process","type":"string"},"lon2":{"description":"Lon2 to process","type":"string"}},"type":"object"},"name":"x402-bearing"},{"description":"Bell Number: Bell Number","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-bell-number"},{"description":"Beta Unlevered: Beta Unlevered","inputSchema":{"properties":{"beta":{"description":"Beta to process","type":"string"},"debt":{"description":"Debt to process","type":"string"},"equity":{"description":"Equity to process","type":"string"},"taxRate":{"description":"TaxRate to process","type":"string"}},"type":"object"},"name":"x402-beta-unlevered"},{"description":"Bias Detect: Detect bias in text.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-bias-detect"},{"description":"Binomial Pascal Row: Binomial Pascal Row","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"row":{"description":"Row to process","type":"string"}},"type":"object"},"name":"x402-binomial-pascal-row"},{"description":"Bisection Method: Bisection Method","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"fn":{"description":"Fn to process","type":"string"},"iterations":{"description":"Iterations to process","type":"string"}},"type":"object"},"name":"x402-bisection-method"},{"description":"Bit And: Perform a bitwise AND operation between two integers. Provide a and b; returns a & b.","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"}},"type":"object"},"name":"x402-bit-and"},{"description":"Bit Not: Perform a bitwise NOT operation on an integer. Provide value; returns the bitwise complement (~value).","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-bit-not"},{"description":"Bit Or: Perform a bitwise OR operation between two integers. Provide a and b; returns a | b.","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"}},"type":"object"},"name":"x402-bit-or"},{"description":"Bit Shift Right: Bit Shift Right","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-bit-shift-right"},{"description":"Bit Toggle: Bit Toggle","inputSchema":{"properties":{"bit":{"description":"Bit to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-bit-toggle"},{"description":"Block Number: Block Number","inputSchema":{"properties":{"chain":{"description":"Chain to process","type":"string"}},"type":"object"},"name":"x402-block-number"},{"description":"Bollinger Bands: Bollinger Bands","inputSchema":{"properties":{"multiplier":{"description":"Multiplier to process","type":"string"},"period":{"description":"Period to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-bollinger-bands"},{"description":"Box Volume: Volume of box.","inputSchema":{"properties":{"height":{"description":"Height to process","type":"string"},"length":{"description":"Length to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-box-volume"},{"description":"Bytecode Size: Bytecode Size","inputSchema":{"properties":{"data":{"description":"Data to process","type":"string"},"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-bytecode-size"},{"description":"Calendar Weeks: Calendar Weeks","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"year":{"description":"Year to process","type":"string"}},"type":"object"},"name":"x402-calendar-weeks"},{"description":"Camel Split: Camel Split","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-camel-split"},{"description":"Cap Rate: Calculate the capitalization rate (cap rate) for real estate: NOI divided by property value, as a percentage. 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No input needed; returns a fun fact and its length.","inputSchema":{"properties":{},"type":"object"},"name":"x402-cat-fact"},{"description":"Celsius To Kelvin: Convert Celsius to Kelvin.","inputSchema":{"properties":{"celsius":{"description":"Celsius to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-celsius-to-kelvin"},{"description":"Chain ID: Look up a blockchain chain ID.","inputSchema":{"properties":{},"type":"object"},"name":"x402-chain-id"},{"description":"Char Count: Count characters in a string.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-char-count"},{"description":"Charles Law: Charles law (gas volume vs temperature).","inputSchema":{"properties":{"finalTemperature":{"description":"FinalTemperature to process","type":"string"},"initialTemperature":{"description":"InitialTemperature to process","type":"string"},"initialVolume":{"description":"InitialVolume to process","type":"string"}},"type":"object"},"name":"x402-charles-law"},{"description":"Chebyshev: Chebyshev polynomials.","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"}},"type":"object"},"name":"x402-chebyshev"},{"description":"Chebyshev Distance: Chebyshev distance between points.","inputSchema":{"properties":{"x1":{"description":"X1 to process","type":"string"},"x2":{"description":"X2 to process","type":"string"},"y1":{"description":"Y1 to process","type":"string"},"y2":{"description":"Y2 to process","type":"string"}},"type":"object"},"name":"x402-chebyshev-distance"},{"description":"Chi Square Stat: Chi Square Stat","inputSchema":{"properties":{"expected":{"description":"Expected to process","type":"string"},"observed":{"description":"Observed to process","type":"string"}},"type":"object"},"name":"x402-chi-square-stat"},{"description":"Chinese Zodiac: Chinese Zodiac","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"}},"type":"object"},"name":"x402-chinese-zodiac"},{"description":"Chuck Norris: Chuck Norris","inputSchema":{"properties":{},"type":"object"},"name":"x402-chuck-norris"},{"description":"CIDR To Range: Convert cidr to range.","inputSchema":{"properties":{"cidr":{"description":"Cidr to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-cidr-to-range"},{"description":"Circle Arc Length: Length of circle arc.","inputSchema":{"properties":{"angle":{"description":"Angle to process","type":"string"},"radius":{"description":"Radius to process","type":"string"},"unit":{"description":"Unit to process","type":"string"}},"type":"object"},"name":"x402-circle-arc-length"},{"description":"Circle Circumference: Circle Circumference","inputSchema":{"properties":{"radius":{"description":"Radius to process","type":"string"}},"type":"object"},"name":"x402-circle-circumference"},{"description":"Circle Sector Area: Area of circle sector.","inputSchema":{"properties":{"angle":{"description":"Angle to process","type":"string"},"radius":{"description":"Radius to process","type":"string"},"unit":{"description":"Unit to process","type":"string"}},"type":"object"},"name":"x402-circle-sector-area"},{"description":"Clamp: Clamp a numeric value to a range. Provide value plus min and/or max; returns the value bounded within [min, max].","inputSchema":{"properties":{"max":{"description":"Max to process","type":"string"},"min":{"description":"Min to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-clamp"},{"description":"Coeff Variation: Coeff Variation","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-coeff-variation"},{"description":"Cohens D: Calculate Cohen's d effect size between two groups. 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Provide value and optional root (default 2, i.e. square root).","inputSchema":{"properties":{"root":{"description":"Root to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-nroot"},{"description":"Ns Lookup: Ns Lookup","inputSchema":{"properties":{"domain":{"description":"Domain to process","type":"string"},"input":{"description":"Input to process","type":"string"}},"type":"object"},"name":"x402-ns-lookup"},{"description":"Nth Largest: Nth Largest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-largest"},{"description":"Nth Smallest: Nth Smallest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-smallest"},{"description":"Number Humanize: Number Humanize","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-humanize"},{"description":"Number Precision: Number Precision","inputSchema":{"properties":{"precision":{"description":"Precision to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-precision"},{"description":"Number Report: Generate a number analysis report.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-number-report"},{"description":"Number To Hex Color: Convert number to hex color.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-hex-color"},{"description":"Number To Words: Convert number to words.","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-words"},{"description":"Number Trivia: Number Trivia","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-trivia"},{"description":"Oauth Scopes: Oauth Scopes","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"scope":{"description":"Scope to process","type":"string"}},"type":"object"},"name":"x402-oauth-scopes"},{"description":"Obfuscate Email: Obfuscate Email","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-obfuscate-email"},{"description":"Obv: Calculate On-Balance Volume (OBV), a volume-based momentum indicator. Provide close price and volume arrays.","inputSchema":{"properties":{"close":{"description":"Close to process","type":"string"},"values":{"description":"Values to process","type":"string"},"volume":{"description":"Volume to process","type":"string"}},"type":"object"},"name":"x402-obv"},{"description":"Odd Series: Series of odd.","inputSchema":{"properties":{"count":{"description":"Count to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-odd-series"},{"description":"Odds Ratio: Ratio of odds.","inputSchema":{"properties":{"exposedCases":{"description":"ExposedCases to process","type":"string"},"exposedControls":{"description":"ExposedControls to process","type":"string"},"unexposedCases":{"description":"UnexposedCases to process","type":"string"},"unexposedControls":{"description":"UnexposedControls to process","type":"string"}},"type":"object"},"name":"x402-odds-ratio"},{"description":"Og Image: Generate an Open Graph image URL from a title. Provide title and optional width/height; returns an OG image link.","inputSchema":{"properties":{"height":{"description":"Height to process","type":"string"},"title":{"description":"Title to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-og-image"},{"description":"Og Tags: Fetch and extract Open Graph meta tags from a URL. Provide a url; returns og:title, og:image, og:description etc.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-og-tags"},{"description":"Ohms Law I: Ohms Law I","inputSchema":{"properties":{"resistance":{"description":"Resistance to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-i"},{"description":"Ohms Law R: Ohms Law R","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-r"},{"description":"One Hot Encode: One Hot Encode","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-one-hot-encode"},{"description":"Option Time Value: Option Time Value","inputSchema":{"properties":{"premium":{"description":"Premium to process","type":"string"}},"type":"object"},"name":"x402-option-time-value"},{"description":"Page Audit: Web page audit — SEO, accessibility, and performance.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-page-audit"},{"description":"Parallelogram Area: Area of parallelogram.","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"height":{"description":"Height to process","type":"string"}},"type":"object"},"name":"x402-parallelogram-area"},{"description":"Parse Date: Parse date.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-parse-date"},{"description":"Parsec: Return the length of a parsec in meters (3.0857 x 10^16), an astronomical distance unit. No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-parsec"},{"description":"Partition: Partition","inputSchema":{"properties":{"predicate":{"description":"Predicate to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-partition"},{"description":"Partition Number: Partition Number","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-partition-number"},{"description":"Pascal Case: Pascal Case","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pascal-case"},{"description":"Pascal To Atm: Convert pascal to atm.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pascal-to-atm"},{"description":"Password Entropy: Password Entropy","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-entropy"},{"description":"Password Leak: Password Leak","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-leak"},{"description":"x402-path-validator: 路径安全校验——拒绝 traversal(..)/NUL/绝对路径逃逸，返回规范化相对路径。文件系统操作前的防护工具。","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"path":{"description":"Path to process","type":"string"}},"type":"object"},"name":"x402-path-validator"},{"description":"X402 Payment Debugger: x402 payment chain diagnosis (premium, no trial).","inputSchema":{"properties":{"service":{"description":"Service to process","type":"string"},"wallet":{"description":"Wallet to process","type":"string"}},"type":"object"},"name":"x402-pay-debugger"},{"description":"Pay Period: Period of pay.","inputSchema":{"properties":{"annual":{"description":"Annual to process","type":"string"},"frequency":{"description":"Frequency to process","type":"string"},"salary":{"description":"Salary to process","type":"string"}},"type":"object"},"name":"x402-pay-period"},{"description":"Pbkdf2: Derive a PBKDF2-SHA256 key from a password and salt. Provide password, salt, and optional iterations/keylen.","inputSchema":{"properties":{"iterations":{"description":"Iterations to process","type":"string"},"keylen":{"description":"Keylen to process","type":"string"},"password":{"description":"Password to process","type":"string"},"salt":{"description":"Salt to process","type":"string"}},"type":"object"},"name":"x402-pbkdf2"},{"description":"x402-pdf-pipeline: [下架·不上架] ","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-pdf-pipeline"},{"description":"Pe Ratio: Ratio of pe.","inputSchema":{"properties":{"earnings":{"description":"Earnings to process","type":"string"},"price":{"description":"Price to process","type":"string"}},"type":"object"},"name":"x402-pe-ratio"},{"description":"Percent Change Of: Percent Change Of","inputSchema":{"properties":{"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"}},"type":"object"},"name":"x402-percent-change-of"},{"description":"Percent Of Value: Percent Of Value","inputSchema":{"properties":{"percent":{"description":"Percent to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-percent-of-value"},{"description":"Percentage Change: Percentage Change","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"},"previous":{"description":"Previous to process","type":"string"}},"type":"object"},"name":"x402-percentage-change"},{"description":"Percentile: Percentile","inputSchema":{"properties":{"p":{"description":"P to process","type":"string"},"percentile":{"description":"Percentile to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile"},{"description":"Percentile Rank: Percentile Rank","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank"},{"description":"Percentile Rank Of: Percentile Rank Of","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank-of"},{"description":"Perfect Numbers: Perfect Numbers","inputSchema":{"properties":{"limit":{"description":"Limit to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-perfect-numbers"},{"description":"Period: Calculate the period of a wave: the reciprocal of frequency. Provide frequency value.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-period"},{"description":"Permutation Count: Permutation Count","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-permutation-count"},{"description":"Permutations: Permutations","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-permutations"},{"description":"x402-perp-funding-arb: The same perpetual, priced for carry on two venues at once — Polymarket Perps and Hyperliquid — with both hourly funding rates annualised onto the same basis and the spread between them. Funding is what a leveraged position pays or earns every hour, so a venue that charges far less (or pays far more) is the difference between a carry trade that works and one that bleeds. Both venues publish this keylessly, which is why one call can do what no single-venue service can. Optionally pass symbol to check one asset.","inputSchema":{"properties":{"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"minSpreadPct":{"description":"MinSpreadPct to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-perp-funding-arb"},{"description":"Perpetuity: Perpetuity","inputSchema":{"properties":{"payment":{"description":"Payment to process","type":"string"},"rate":{"description":"Rate to process","type":"string"}},"type":"object"},"name":"x402-perpetuity"},{"description":"Ph From Concentration: Ph From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-ph-from-concentration"},{"description":"x402-phone-validator: 电话号码格式校验（E.164 全局格式为主，国家码可选）。只验格式与位数规则，不做运营商查询/真号验证。","inputSchema":{"properties":{"phone":{"description":"Phone to process","type":"string"}},"type":"object"},"name":"x402-phone-validator"},{"description":"Photon Energy: Energy of photon.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-photon-energy"},{"description":"Pi: Return the mathematical constant pi (3.14159...). No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-pi"},{"description":"Placeholder Image: Placeholder Image","inputSchema":{"properties":{"background":{"description":"Background to process","type":"string"},"bg":{"description":"Bg to process","type":"string"},"fg":{"description":"Fg to process","type":"string"},"foreground":{"description":"Foreground to process","type":"string"},"format":{"description":"Format to process","type":"string"},"h":{"description":"H to process","type":"string"},"height":{"description":"Height to process","type":"string"},"text":{"description":"Text to process","type":"string"},"w":{"description":"W to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-placeholder-image"},{"description":"Planck Constant: Constant planck.","inputSchema":{"properties":{},"type":"object"},"name":"x402-planck-constant"},{"description":"Pluralize: Pluralize","inputSchema":{"properties":{"text":{"description":"Text to process","type":"string"},"word":{"description":"Word to process","type":"string"}},"type":"object"},"name":"x402-pluralize"},{"description":"Poh From Concentration: Poh From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-poh-from-concentration"},{"description":"Poisson Pmf: Poisson Pmf","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"lambda":{"description":"Lambda to process","type":"string"}},"type":"object"},"name":"x402-poisson-pmf"},{"description":"x402-poker-equity: Monte-carlo poker hand equity vs N opponents","inputSchema":{"properties":{"board":{"description":"Board to process","type":"string"},"community":{"description":"Community to process","type":"string"},"hand":{"description":"Hand to process","type":"string"},"hole":{"description":"Hole to process","type":"string"},"iterations":{"description":"Iterations to process","type":"string"},"opponents":{"description":"Opponents to process","type":"string"},"players":{"description":"Players to process","type":"string"}},"type":"object"},"name":"x402-poker-equity"},{"description":"x402-poly-history: Price time series for a Polymarket outcome token, with the trend statistics agents need (first/last price, change in cents and percent, high, low, average, direction, volatility). Existing Polymarket services here give you a snapshot of the book; this is the only one that gives you where the odds have been, which is what a momentum or mean-reversion decision actually needs.","inputSchema":{"properties":{"fidelity":{"description":"Fidelity to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"market":{"description":"Market to process","type":"string"},"token":{"description":"Token to process","type":"string"},"tokenId":{"description":"TokenId to process","type":"string"}},"type":"object"},"name":"x402-poly-history"},{"description":"Polygon Area: Area of polygon.","inputSchema":{"properties":{"points":{"description":"Points to process","type":"string"}},"type":"object"},"name":"x402-polygon-area"},{"description":"Polymarket Odds: Polymarket market odds.","inputSchema":{"properties":{"id":{"description":"Id to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"marketId":{"description":"MarketId to process","type":"string"},"q":{"description":"Q to process","type":"string"},"question":{"description":"Question to process","type":"string"},"search":{"description":"Search to process","type":"string"},"slug":{"description":"Slug to process","type":"string"}},"type":"object"},"name":"x402-polymarket-odds"},{"description":"x402-polyperp-book: Level-2 order book for one Polymarket Perps market, with the microstructure a trading agent needs before sending an order — best bid and ask, spread in absolute terms and basis points, midpoint, and cumulative bid/ask depth plus their imbalance. Thin books and lopsided depth are how you spot a bad fill in advance. Works on equities, indices and commodities as well as crypto.","inputSchema":{"properties":{"depth":{"description":"Depth to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-book"},{"description":"x402-polyperp-candles: OHLCV candles for one Polymarket Perps market, with trend statistics computed for you — first open, last close, percent change, high, low, average volume, total trades and direction. Intervals: 1m, 5m, 15m, 30m, 1h, 4h, 1d, 1w. Use it for momentum, breakout and mean-reversion checks. Note these markets trade 24/7, so a daily candle covers the whole day for equities and commodities too — including the hours when the underlying cash market is shut.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-candles"},{"description":"x402-polyperp-exchange: The venue-level facts a bot needs before it starts trading on Polymarket Perps: whether the exchange is accepting orders or cancel-only, the settlement chain and contract address, the engine version, the maker/taker fee schedule per market category (equity, crypto and so on, with volume tiers), the API rate limits per volume tier, and the collateral asset with its decimals and withdrawal fee. One cheap call that prevents a bot from being throttled or from budgeting against the wrong fees.","inputSchema":{"properties":{},"type":"object"},"name":"x402-polyperp-exchange"},{"description":"x402-polyperp-funding: Funding-rate history for one Polymarket Perps market, hourly, with the summary a carry position needs — the current rate, the mean over the window, that mean annualised, the extremes, how many periods were positive versus negative, and which side pays. Funding is charged every hour and is the main cost of holding a leveraged position, so this is the number that decides whether a carry trade survives. Pair it with x402-perp-funding-arb to compare the same asset against Hyperliquid.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-funding"},{"description":"x402-polyperp-markets: Every market tradable on Polymarket Perps, with the constraints you need before sending an order — max leverage, risk tiers, minimum notional, maximum market and limit notional, price and quantity decimals, the allowed price band as a percentage, funding interval, liquidation fee, and whether the market is isolated-margin only. Covers 40 US equities (AAPL, NVDA, TSLA, MSFT, META, GOOG, AMZN, AMD, TSM, ASML, ORCL, PLTR, BABA, SAMSUNG...), 40 crypto pairs, 5 indices (SP500, NAS100, EWY, DRAM, NCLD) and 4 commodities (GOLD, SILVER, WTI, BRENT) — leveraged and trading 24/7, including weekends when the underlying cash market is shut. Use x402-polyperp-quotes for the live prices of these markets.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"limit":{"description":"Limit to process","type":"string"}},"type":"object"},"name":"x402-polyperp-markets"},{"description":"x402-polyperp-quotes: Live quotes for Polymarket Perps markets — index price, mark price, last traded price, mid, open interest, the current hourly funding rate and its annualised equivalent, and when funding is next charged. Also reports how far the mark sits from the index in basis points, which is the number that tells you whether the perpetual is trading rich or cheap versus its underlying. One call without a symbol returns the whole board; pass symbol to price a single market.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-quotes"},{"description":"x402-polyperp-trades: The recent trade tape for one Polymarket Perps market — every fill with its side, price, size and timestamp — plus the derived flow statistics a signal actually uses: buy/sell volume split, net flow, volume-weighted average price, the largest print, and average trade size. Works for equities, indices and commodities as well as crypto. Use x402-polyperp-book to see resting liquidity, and this to see what actually executed.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-trades"},{"description":"Liquidity Pool Intel: A-B pair pool depth and best pool.","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"tokenA":{"description":"TokenA to process","type":"string"},"tokenB":{"description":"TokenB to process","type":"string"}},"type":"object"},"name":"x402-pool-intel"},{"description":"Pooled Std: Pooled Std","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-std"},{"description":"Pooled Variance: Pooled Variance","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-variance"},{"description":"Population: Population","inputSchema":{"properties":{"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"name":{"description":"Name to process","type":"string"}},"type":"object"},"name":"x402-population"},{"description":"Population Mean: Mean of population.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-mean"},{"description":"Population Stddev: Population Stddev","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-stddev"},{"description":"Population Variance: Population Variance","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-variance"},{"description":"Pos Tag: Part-of-speech tagging for English text. Provide text; returns word tags using a lightweight heuristic tagger.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pos-tag"},{"description":"Postal Code: Postal Code","inputSchema":{"properties":{"code":{"description":"Code to process","type":"string"},"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"zip":{"description":"Zip to process","type":"string"}},"type":"object"},"name":"x402-postal-code"},{"description":"Potential Energy: Energy of potential.","inputSchema":{"properties":{"gravity":{"description":"Gravity to process","type":"string"},"height":{"description":"Height to process","type":"string"},"mass":{"description":"Mass to process","type":"string"}},"type":"object"},"name":"x402-potential-energy"},{"description":"Pounds To Kg: Convert pounds to kg.","inputSchema":{"properties":{"pounds":{"description":"Pounds to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pounds-to-kg"},{"description":"Pow Mod: Calculate modular exponentiation (base^exponent mod modulus) efficiently. 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Provide value and optional root (default 2, i.e. square root).","inputSchema":{"properties":{"root":{"description":"Root to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-nroot"},{"description":"Ns Lookup: Ns Lookup","inputSchema":{"properties":{"domain":{"description":"Domain to process","type":"string"},"input":{"description":"Input to process","type":"string"}},"type":"object"},"name":"x402-ns-lookup"},{"description":"Nth Largest: Nth Largest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-largest"},{"description":"Nth Smallest: Nth Smallest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-smallest"},{"description":"Number Humanize: Number Humanize","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-humanize"},{"description":"Number Precision: Number Precision","inputSchema":{"properties":{"precision":{"description":"Precision to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-precision"},{"description":"Number Report: Generate a number analysis report.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-number-report"},{"description":"Number To Hex Color: Convert number to hex color.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-hex-color"},{"description":"Number To Words: Convert number to words.","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-words"},{"description":"Number Trivia: Number Trivia","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-trivia"},{"description":"Oauth Scopes: Oauth Scopes","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"scope":{"description":"Scope to process","type":"string"}},"type":"object"},"name":"x402-oauth-scopes"},{"description":"Obfuscate Email: Obfuscate Email","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-obfuscate-email"},{"description":"Obv: Calculate On-Balance Volume (OBV), a volume-based momentum indicator. Provide close price and volume arrays.","inputSchema":{"properties":{"close":{"description":"Close to process","type":"string"},"values":{"description":"Values to process","type":"string"},"volume":{"description":"Volume to process","type":"string"}},"type":"object"},"name":"x402-obv"},{"description":"Odd Series: Series of odd.","inputSchema":{"properties":{"count":{"description":"Count to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-odd-series"},{"description":"Odds Ratio: Ratio of odds.","inputSchema":{"properties":{"exposedCases":{"description":"ExposedCases to process","type":"string"},"exposedControls":{"description":"ExposedControls to process","type":"string"},"unexposedCases":{"description":"UnexposedCases to process","type":"string"},"unexposedControls":{"description":"UnexposedControls to process","type":"string"}},"type":"object"},"name":"x402-odds-ratio"},{"description":"Og Image: Generate an Open Graph image URL from a title. Provide title and optional width/height; returns an OG image link.","inputSchema":{"properties":{"height":{"description":"Height to process","type":"string"},"title":{"description":"Title to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-og-image"},{"description":"Og Tags: Fetch and extract Open Graph meta tags from a URL. Provide a url; returns og:title, og:image, og:description etc.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-og-tags"},{"description":"Ohms Law I: Ohms Law I","inputSchema":{"properties":{"resistance":{"description":"Resistance to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-i"},{"description":"Ohms Law R: Ohms Law R","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-r"},{"description":"One Hot Encode: One Hot Encode","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-one-hot-encode"},{"description":"Option Time Value: Option Time Value","inputSchema":{"properties":{"premium":{"description":"Premium to process","type":"string"}},"type":"object"},"name":"x402-option-time-value"},{"description":"Page Audit: Web page audit — SEO, accessibility, and performance.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-page-audit"},{"description":"Parallelogram Area: Area of parallelogram.","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"height":{"description":"Height to process","type":"string"}},"type":"object"},"name":"x402-parallelogram-area"},{"description":"Parse Date: Parse date.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-parse-date"},{"description":"Parsec: Return the length of a parsec in meters (3.0857 x 10^16), an astronomical distance unit. No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-parsec"},{"description":"Partition: Partition","inputSchema":{"properties":{"predicate":{"description":"Predicate to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-partition"},{"description":"Partition Number: Partition Number","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-partition-number"},{"description":"Pascal Case: Pascal Case","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pascal-case"},{"description":"Pascal To Atm: Convert pascal to atm.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pascal-to-atm"},{"description":"Password Entropy: Password Entropy","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-entropy"},{"description":"Password Leak: Password Leak","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-leak"},{"description":"x402-path-validator: 路径安全校验——拒绝 traversal(..)/NUL/绝对路径逃逸，返回规范化相对路径。文件系统操作前的防护工具。","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"path":{"description":"Path to process","type":"string"}},"type":"object"},"name":"x402-path-validator"},{"description":"X402 Payment Debugger: x402 payment chain diagnosis (premium, no trial).","inputSchema":{"properties":{"service":{"description":"Service to process","type":"string"},"wallet":{"description":"Wallet to process","type":"string"}},"type":"object"},"name":"x402-pay-debugger"},{"description":"Pay Period: Period of pay.","inputSchema":{"properties":{"annual":{"description":"Annual to process","type":"string"},"frequency":{"description":"Frequency to process","type":"string"},"salary":{"description":"Salary to process","type":"string"}},"type":"object"},"name":"x402-pay-period"},{"description":"Pbkdf2: Derive a PBKDF2-SHA256 key from a password and salt. Provide password, salt, and optional iterations/keylen.","inputSchema":{"properties":{"iterations":{"description":"Iterations to process","type":"string"},"keylen":{"description":"Keylen to process","type":"string"},"password":{"description":"Password to process","type":"string"},"salt":{"description":"Salt to process","type":"string"}},"type":"object"},"name":"x402-pbkdf2"},{"description":"x402-pdf-pipeline: [下架·不上架] ","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-pdf-pipeline"},{"description":"Pe Ratio: Ratio of pe.","inputSchema":{"properties":{"earnings":{"description":"Earnings to process","type":"string"},"price":{"description":"Price to process","type":"string"}},"type":"object"},"name":"x402-pe-ratio"},{"description":"Percent Change Of: Percent Change Of","inputSchema":{"properties":{"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"}},"type":"object"},"name":"x402-percent-change-of"},{"description":"Percent Of Value: Percent Of Value","inputSchema":{"properties":{"percent":{"description":"Percent to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-percent-of-value"},{"description":"Percentage Change: Percentage Change","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"},"previous":{"description":"Previous to process","type":"string"}},"type":"object"},"name":"x402-percentage-change"},{"description":"Percentile: Percentile","inputSchema":{"properties":{"p":{"description":"P to process","type":"string"},"percentile":{"description":"Percentile to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile"},{"description":"Percentile Rank: Percentile Rank","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank"},{"description":"Percentile Rank Of: Percentile Rank Of","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank-of"},{"description":"Perfect Numbers: Perfect Numbers","inputSchema":{"properties":{"limit":{"description":"Limit to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-perfect-numbers"},{"description":"Period: Calculate the period of a wave: the reciprocal of frequency. Provide frequency value.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-period"},{"description":"Permutation Count: Permutation Count","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-permutation-count"},{"description":"Permutations: Permutations","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-permutations"},{"description":"x402-perp-funding-arb: The same perpetual, priced for carry on two venues at once — Polymarket Perps and Hyperliquid — with both hourly funding rates annualised onto the same basis and the spread between them. Funding is what a leveraged position pays or earns every hour, so a venue that charges far less (or pays far more) is the difference between a carry trade that works and one that bleeds. Both venues publish this keylessly, which is why one call can do what no single-venue service can. Optionally pass symbol to check one asset.","inputSchema":{"properties":{"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"minSpreadPct":{"description":"MinSpreadPct to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-perp-funding-arb"},{"description":"Perpetuity: Perpetuity","inputSchema":{"properties":{"payment":{"description":"Payment to process","type":"string"},"rate":{"description":"Rate to process","type":"string"}},"type":"object"},"name":"x402-perpetuity"},{"description":"Ph From Concentration: Ph From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-ph-from-concentration"},{"description":"x402-phone-validator: 电话号码格式校验（E.164 全局格式为主，国家码可选）。只验格式与位数规则，不做运营商查询/真号验证。","inputSchema":{"properties":{"phone":{"description":"Phone to process","type":"string"}},"type":"object"},"name":"x402-phone-validator"},{"description":"Photon Energy: Energy of photon.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-photon-energy"},{"description":"Pi: Return the mathematical constant pi (3.14159...). No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-pi"},{"description":"Placeholder Image: Placeholder Image","inputSchema":{"properties":{"background":{"description":"Background to process","type":"string"},"bg":{"description":"Bg to process","type":"string"},"fg":{"description":"Fg to process","type":"string"},"foreground":{"description":"Foreground to process","type":"string"},"format":{"description":"Format to process","type":"string"},"h":{"description":"H to process","type":"string"},"height":{"description":"Height to process","type":"string"},"text":{"description":"Text to process","type":"string"},"w":{"description":"W to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-placeholder-image"},{"description":"Planck Constant: Constant planck.","inputSchema":{"properties":{},"type":"object"},"name":"x402-planck-constant"},{"description":"Pluralize: Pluralize","inputSchema":{"properties":{"text":{"description":"Text to process","type":"string"},"word":{"description":"Word to process","type":"string"}},"type":"object"},"name":"x402-pluralize"},{"description":"Poh From Concentration: Poh From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-poh-from-concentration"},{"description":"Poisson Pmf: Poisson Pmf","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"lambda":{"description":"Lambda to process","type":"string"}},"type":"object"},"name":"x402-poisson-pmf"},{"description":"x402-poker-equity: Monte-carlo poker hand equity vs N opponents","inputSchema":{"properties":{"board":{"description":"Board to process","type":"string"},"community":{"description":"Community to process","type":"string"},"hand":{"description":"Hand to process","type":"string"},"hole":{"description":"Hole to process","type":"string"},"iterations":{"description":"Iterations to process","type":"string"},"opponents":{"description":"Opponents to process","type":"string"},"players":{"description":"Players to process","type":"string"}},"type":"object"},"name":"x402-poker-equity"},{"description":"x402-poly-history: Price time series for a Polymarket outcome token, with the trend statistics agents need (first/last price, change in cents and percent, high, low, average, direction, volatility). Existing Polymarket services here give you a snapshot of the book; this is the only one that gives you where the odds have been, which is what a momentum or mean-reversion decision actually needs.","inputSchema":{"properties":{"fidelity":{"description":"Fidelity to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"market":{"description":"Market to process","type":"string"},"token":{"description":"Token to process","type":"string"},"tokenId":{"description":"TokenId to process","type":"string"}},"type":"object"},"name":"x402-poly-history"},{"description":"Polygon Area: Area of polygon.","inputSchema":{"properties":{"points":{"description":"Points to process","type":"string"}},"type":"object"},"name":"x402-polygon-area"},{"description":"Polymarket Odds: Polymarket market odds.","inputSchema":{"properties":{"id":{"description":"Id to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"marketId":{"description":"MarketId to process","type":"string"},"q":{"description":"Q to process","type":"string"},"question":{"description":"Question to process","type":"string"},"search":{"description":"Search to process","type":"string"},"slug":{"description":"Slug to process","type":"string"}},"type":"object"},"name":"x402-polymarket-odds"},{"description":"x402-polyperp-book: Level-2 order book for one Polymarket Perps market, with the microstructure a trading agent needs before sending an order — best bid and ask, spread in absolute terms and basis points, midpoint, and cumulative bid/ask depth plus their imbalance. Thin books and lopsided depth are how you spot a bad fill in advance. Works on equities, indices and commodities as well as crypto.","inputSchema":{"properties":{"depth":{"description":"Depth to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-book"},{"description":"x402-polyperp-candles: OHLCV candles for one Polymarket Perps market, with trend statistics computed for you — first open, last close, percent change, high, low, average volume, total trades and direction. Intervals: 1m, 5m, 15m, 30m, 1h, 4h, 1d, 1w. Use it for momentum, breakout and mean-reversion checks. Note these markets trade 24/7, so a daily candle covers the whole day for equities and commodities too — including the hours when the underlying cash market is shut.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-candles"},{"description":"x402-polyperp-exchange: The venue-level facts a bot needs before it starts trading on Polymarket Perps: whether the exchange is accepting orders or cancel-only, the settlement chain and contract address, the engine version, the maker/taker fee schedule per market category (equity, crypto and so on, with volume tiers), the API rate limits per volume tier, and the collateral asset with its decimals and withdrawal fee. One cheap call that prevents a bot from being throttled or from budgeting against the wrong fees.","inputSchema":{"properties":{},"type":"object"},"name":"x402-polyperp-exchange"},{"description":"x402-polyperp-funding: Funding-rate history for one Polymarket Perps market, hourly, with the summary a carry position needs — the current rate, the mean over the window, that mean annualised, the extremes, how many periods were positive versus negative, and which side pays. Funding is charged every hour and is the main cost of holding a leveraged position, so this is the number that decides whether a carry trade survives. Pair it with x402-perp-funding-arb to compare the same asset against Hyperliquid.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-funding"},{"description":"x402-polyperp-markets: Every market tradable on Polymarket Perps, with the constraints you need before sending an order — max leverage, risk tiers, minimum notional, maximum market and limit notional, price and quantity decimals, the allowed price band as a percentage, funding interval, liquidation fee, and whether the market is isolated-margin only. Covers 40 US equities (AAPL, NVDA, TSLA, MSFT, META, GOOG, AMZN, AMD, TSM, ASML, ORCL, PLTR, BABA, SAMSUNG...), 40 crypto pairs, 5 indices (SP500, NAS100, EWY, DRAM, NCLD) and 4 commodities (GOLD, SILVER, WTI, BRENT) — leveraged and trading 24/7, including weekends when the underlying cash market is shut. Use x402-polyperp-quotes for the live prices of these markets.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"limit":{"description":"Limit to process","type":"string"}},"type":"object"},"name":"x402-polyperp-markets"},{"description":"x402-polyperp-quotes: Live quotes for Polymarket Perps markets — index price, mark price, last traded price, mid, open interest, the current hourly funding rate and its annualised equivalent, and when funding is next charged. Also reports how far the mark sits from the index in basis points, which is the number that tells you whether the perpetual is trading rich or cheap versus its underlying. One call without a symbol returns the whole board; pass symbol to price a single market.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-quotes"},{"description":"x402-polyperp-trades: The recent trade tape for one Polymarket Perps market — every fill with its side, price, size and timestamp — plus the derived flow statistics a signal actually uses: buy/sell volume split, net flow, volume-weighted average price, the largest print, and average trade size. Works for equities, indices and commodities as well as crypto. Use x402-polyperp-book to see resting liquidity, and this to see what actually executed.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-trades"},{"description":"Liquidity Pool Intel: A-B pair pool depth and best pool.","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"tokenA":{"description":"TokenA to process","type":"string"},"tokenB":{"description":"TokenB to process","type":"string"}},"type":"object"},"name":"x402-pool-intel"},{"description":"Pooled Std: Pooled Std","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-std"},{"description":"Pooled Variance: Pooled Variance","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-variance"},{"description":"Population: Population","inputSchema":{"properties":{"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"name":{"description":"Name to process","type":"string"}},"type":"object"},"name":"x402-population"},{"description":"Population Mean: Mean of population.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-mean"},{"description":"Population Stddev: Population Stddev","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-stddev"},{"description":"Population Variance: Population Variance","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-variance"},{"description":"Pos Tag: Part-of-speech tagging for English text. Provide text; returns word tags using a lightweight heuristic tagger.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pos-tag"},{"description":"Postal Code: Postal Code","inputSchema":{"properties":{"code":{"description":"Code to process","type":"string"},"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"zip":{"description":"Zip to process","type":"string"}},"type":"object"},"name":"x402-postal-code"},{"description":"Potential Energy: Energy of potential.","inputSchema":{"properties":{"gravity":{"description":"Gravity to process","type":"string"},"height":{"description":"Height to process","type":"string"},"mass":{"description":"Mass to process","type":"string"}},"type":"object"},"name":"x402-potential-energy"},{"description":"Pounds To Kg: Convert pounds to kg.","inputSchema":{"properties":{"pounds":{"description":"Pounds to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pounds-to-kg"},{"description":"Pow Mod: Calculate modular exponentiation (base^exponent mod modulus) efficiently. 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Provide value and optional root (default 2, i.e. square root).","inputSchema":{"properties":{"root":{"description":"Root to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-nroot"},{"description":"Ns Lookup: Ns Lookup","inputSchema":{"properties":{"domain":{"description":"Domain to process","type":"string"},"input":{"description":"Input to process","type":"string"}},"type":"object"},"name":"x402-ns-lookup"},{"description":"Nth Largest: Nth Largest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-largest"},{"description":"Nth Smallest: Nth Smallest","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-nth-smallest"},{"description":"Number Humanize: Number Humanize","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-humanize"},{"description":"Number Precision: Number Precision","inputSchema":{"properties":{"precision":{"description":"Precision to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-precision"},{"description":"Number Report: Generate a number analysis report.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-number-report"},{"description":"Number To Hex Color: Convert number to hex color.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-hex-color"},{"description":"Number To Words: Convert number to words.","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-to-words"},{"description":"Number Trivia: Number Trivia","inputSchema":{"properties":{"number":{"description":"Number to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-number-trivia"},{"description":"Oauth Scopes: Oauth Scopes","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"scope":{"description":"Scope to process","type":"string"}},"type":"object"},"name":"x402-oauth-scopes"},{"description":"Obfuscate Email: Obfuscate Email","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-obfuscate-email"},{"description":"Obv: Calculate On-Balance Volume (OBV), a volume-based momentum indicator. Provide close price and volume arrays.","inputSchema":{"properties":{"close":{"description":"Close to process","type":"string"},"values":{"description":"Values to process","type":"string"},"volume":{"description":"Volume to process","type":"string"}},"type":"object"},"name":"x402-obv"},{"description":"Odd Series: Series of odd.","inputSchema":{"properties":{"count":{"description":"Count to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-odd-series"},{"description":"Odds Ratio: Ratio of odds.","inputSchema":{"properties":{"exposedCases":{"description":"ExposedCases to process","type":"string"},"exposedControls":{"description":"ExposedControls to process","type":"string"},"unexposedCases":{"description":"UnexposedCases to process","type":"string"},"unexposedControls":{"description":"UnexposedControls to process","type":"string"}},"type":"object"},"name":"x402-odds-ratio"},{"description":"Og Image: Generate an Open Graph image URL from a title. Provide title and optional width/height; returns an OG image link.","inputSchema":{"properties":{"height":{"description":"Height to process","type":"string"},"title":{"description":"Title to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-og-image"},{"description":"Og Tags: Fetch and extract Open Graph meta tags from a URL. Provide a url; returns og:title, og:image, og:description etc.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-og-tags"},{"description":"Ohms Law I: Ohms Law I","inputSchema":{"properties":{"resistance":{"description":"Resistance to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-i"},{"description":"Ohms Law R: Ohms Law R","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"voltage":{"description":"Voltage to process","type":"string"}},"type":"object"},"name":"x402-ohms-law-r"},{"description":"One Hot Encode: One Hot Encode","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-one-hot-encode"},{"description":"Option Time Value: Option Time Value","inputSchema":{"properties":{"premium":{"description":"Premium to process","type":"string"}},"type":"object"},"name":"x402-option-time-value"},{"description":"Page Audit: Web page audit — SEO, accessibility, and performance.","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-page-audit"},{"description":"Parallelogram Area: Area of parallelogram.","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"height":{"description":"Height to process","type":"string"}},"type":"object"},"name":"x402-parallelogram-area"},{"description":"Parse Date: Parse date.","inputSchema":{"properties":{"date":{"description":"Date to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-parse-date"},{"description":"Parsec: Return the length of a parsec in meters (3.0857 x 10^16), an astronomical distance unit. No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-parsec"},{"description":"Partition: Partition","inputSchema":{"properties":{"predicate":{"description":"Predicate to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-partition"},{"description":"Partition Number: Partition Number","inputSchema":{"properties":{"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-partition-number"},{"description":"Pascal Case: Pascal Case","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pascal-case"},{"description":"Pascal To Atm: Convert pascal to atm.","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pascal-to-atm"},{"description":"Password Entropy: Password Entropy","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-entropy"},{"description":"Password Leak: Password Leak","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"password":{"description":"Password to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-password-leak"},{"description":"x402-path-validator: 路径安全校验——拒绝 traversal(..)/NUL/绝对路径逃逸，返回规范化相对路径。文件系统操作前的防护工具。","inputSchema":{"properties":{"base":{"description":"Base to process","type":"string"},"path":{"description":"Path to process","type":"string"}},"type":"object"},"name":"x402-path-validator"},{"description":"X402 Payment Debugger: x402 payment chain diagnosis (premium, no trial).","inputSchema":{"properties":{"service":{"description":"Service to process","type":"string"},"wallet":{"description":"Wallet to process","type":"string"}},"type":"object"},"name":"x402-pay-debugger"},{"description":"Pay Period: Period of pay.","inputSchema":{"properties":{"annual":{"description":"Annual to process","type":"string"},"frequency":{"description":"Frequency to process","type":"string"},"salary":{"description":"Salary to process","type":"string"}},"type":"object"},"name":"x402-pay-period"},{"description":"Pbkdf2: Derive a PBKDF2-SHA256 key from a password and salt. Provide password, salt, and optional iterations/keylen.","inputSchema":{"properties":{"iterations":{"description":"Iterations to process","type":"string"},"keylen":{"description":"Keylen to process","type":"string"},"password":{"description":"Password to process","type":"string"},"salt":{"description":"Salt to process","type":"string"}},"type":"object"},"name":"x402-pbkdf2"},{"description":"x402-pdf-pipeline: [下架·不上架] ","inputSchema":{"properties":{"input":{"description":"Input to process","type":"string"},"url":{"description":"Url to process","type":"string"}},"type":"object"},"name":"x402-pdf-pipeline"},{"description":"Pe Ratio: Ratio of pe.","inputSchema":{"properties":{"earnings":{"description":"Earnings to process","type":"string"},"price":{"description":"Price to process","type":"string"}},"type":"object"},"name":"x402-pe-ratio"},{"description":"Percent Change Of: Percent Change Of","inputSchema":{"properties":{"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"}},"type":"object"},"name":"x402-percent-change-of"},{"description":"Percent Of Value: Percent Of Value","inputSchema":{"properties":{"percent":{"description":"Percent to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-percent-of-value"},{"description":"Percentage Change: Percentage Change","inputSchema":{"properties":{"current":{"description":"Current to process","type":"string"},"new":{"description":"New to process","type":"string"},"old":{"description":"Old to process","type":"string"},"previous":{"description":"Previous to process","type":"string"}},"type":"object"},"name":"x402-percentage-change"},{"description":"Percentile: Percentile","inputSchema":{"properties":{"p":{"description":"P to process","type":"string"},"percentile":{"description":"Percentile to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile"},{"description":"Percentile Rank: Percentile Rank","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank"},{"description":"Percentile Rank Of: Percentile Rank Of","inputSchema":{"properties":{"value":{"description":"Value to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-percentile-rank-of"},{"description":"Perfect Numbers: Perfect Numbers","inputSchema":{"properties":{"limit":{"description":"Limit to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-perfect-numbers"},{"description":"Period: Calculate the period of a wave: the reciprocal of frequency. Provide frequency value.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-period"},{"description":"Permutation Count: Permutation Count","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"n":{"description":"N to process","type":"string"}},"type":"object"},"name":"x402-permutation-count"},{"description":"Permutations: Permutations","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-permutations"},{"description":"x402-perp-funding-arb: The same perpetual, priced for carry on two venues at once — Polymarket Perps and Hyperliquid — with both hourly funding rates annualised onto the same basis and the spread between them. Funding is what a leveraged position pays or earns every hour, so a venue that charges far less (or pays far more) is the difference between a carry trade that works and one that bleeds. Both venues publish this keylessly, which is why one call can do what no single-venue service can. Optionally pass symbol to check one asset.","inputSchema":{"properties":{"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"minSpreadPct":{"description":"MinSpreadPct to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-perp-funding-arb"},{"description":"Perpetuity: Perpetuity","inputSchema":{"properties":{"payment":{"description":"Payment to process","type":"string"},"rate":{"description":"Rate to process","type":"string"}},"type":"object"},"name":"x402-perpetuity"},{"description":"Ph From Concentration: Ph From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-ph-from-concentration"},{"description":"x402-phone-validator: 电话号码格式校验（E.164 全局格式为主，国家码可选）。只验格式与位数规则，不做运营商查询/真号验证。","inputSchema":{"properties":{"phone":{"description":"Phone to process","type":"string"}},"type":"object"},"name":"x402-phone-validator"},{"description":"Photon Energy: Energy of photon.","inputSchema":{"properties":{"frequency":{"description":"Frequency to process","type":"string"}},"type":"object"},"name":"x402-photon-energy"},{"description":"Pi: Return the mathematical constant pi (3.14159...). No input needed.","inputSchema":{"properties":{},"type":"object"},"name":"x402-pi"},{"description":"Placeholder Image: Placeholder Image","inputSchema":{"properties":{"background":{"description":"Background to process","type":"string"},"bg":{"description":"Bg to process","type":"string"},"fg":{"description":"Fg to process","type":"string"},"foreground":{"description":"Foreground to process","type":"string"},"format":{"description":"Format to process","type":"string"},"h":{"description":"H to process","type":"string"},"height":{"description":"Height to process","type":"string"},"text":{"description":"Text to process","type":"string"},"w":{"description":"W to process","type":"string"},"width":{"description":"Width to process","type":"string"}},"type":"object"},"name":"x402-placeholder-image"},{"description":"Planck Constant: Constant planck.","inputSchema":{"properties":{},"type":"object"},"name":"x402-planck-constant"},{"description":"Pluralize: Pluralize","inputSchema":{"properties":{"text":{"description":"Text to process","type":"string"},"word":{"description":"Word to process","type":"string"}},"type":"object"},"name":"x402-pluralize"},{"description":"Poh From Concentration: Poh From Concentration","inputSchema":{"properties":{"concentration":{"description":"Concentration to process","type":"string"}},"type":"object"},"name":"x402-poh-from-concentration"},{"description":"Poisson Pmf: Poisson Pmf","inputSchema":{"properties":{"k":{"description":"K to process","type":"string"},"lambda":{"description":"Lambda to process","type":"string"}},"type":"object"},"name":"x402-poisson-pmf"},{"description":"x402-poker-equity: Monte-carlo poker hand equity vs N opponents","inputSchema":{"properties":{"board":{"description":"Board to process","type":"string"},"community":{"description":"Community to process","type":"string"},"hand":{"description":"Hand to process","type":"string"},"hole":{"description":"Hole to process","type":"string"},"iterations":{"description":"Iterations to process","type":"string"},"opponents":{"description":"Opponents to process","type":"string"},"players":{"description":"Players to process","type":"string"}},"type":"object"},"name":"x402-poker-equity"},{"description":"x402-poly-history: Price time series for a Polymarket outcome token, with the trend statistics agents need (first/last price, change in cents and percent, high, low, average, direction, volatility). Existing Polymarket services here give you a snapshot of the book; this is the only one that gives you where the odds have been, which is what a momentum or mean-reversion decision actually needs.","inputSchema":{"properties":{"fidelity":{"description":"Fidelity to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"market":{"description":"Market to process","type":"string"},"token":{"description":"Token to process","type":"string"},"tokenId":{"description":"TokenId to process","type":"string"}},"type":"object"},"name":"x402-poly-history"},{"description":"Polygon Area: Area of polygon.","inputSchema":{"properties":{"points":{"description":"Points to process","type":"string"}},"type":"object"},"name":"x402-polygon-area"},{"description":"Polymarket Odds: Polymarket market odds.","inputSchema":{"properties":{"id":{"description":"Id to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"marketId":{"description":"MarketId to process","type":"string"},"q":{"description":"Q to process","type":"string"},"question":{"description":"Question to process","type":"string"},"search":{"description":"Search to process","type":"string"},"slug":{"description":"Slug to process","type":"string"}},"type":"object"},"name":"x402-polymarket-odds"},{"description":"x402-polyperp-book: Level-2 order book for one Polymarket Perps market, with the microstructure a trading agent needs before sending an order — best bid and ask, spread in absolute terms and basis points, midpoint, and cumulative bid/ask depth plus their imbalance. Thin books and lopsided depth are how you spot a bad fill in advance. Works on equities, indices and commodities as well as crypto.","inputSchema":{"properties":{"depth":{"description":"Depth to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-book"},{"description":"x402-polyperp-candles: OHLCV candles for one Polymarket Perps market, with trend statistics computed for you — first open, last close, percent change, high, low, average volume, total trades and direction. Intervals: 1m, 5m, 15m, 30m, 1h, 4h, 1d, 1w. Use it for momentum, breakout and mean-reversion checks. Note these markets trade 24/7, so a daily candle covers the whole day for equities and commodities too — including the hours when the underlying cash market is shut.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"interval":{"description":"Interval to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-candles"},{"description":"x402-polyperp-exchange: The venue-level facts a bot needs before it starts trading on Polymarket Perps: whether the exchange is accepting orders or cancel-only, the settlement chain and contract address, the engine version, the maker/taker fee schedule per market category (equity, crypto and so on, with volume tiers), the API rate limits per volume tier, and the collateral asset with its decimals and withdrawal fee. One cheap call that prevents a bot from being throttled or from budgeting against the wrong fees.","inputSchema":{"properties":{},"type":"object"},"name":"x402-polyperp-exchange"},{"description":"x402-polyperp-funding: Funding-rate history for one Polymarket Perps market, hourly, with the summary a carry position needs — the current rate, the mean over the window, that mean annualised, the extremes, how many periods were positive versus negative, and which side pays. Funding is charged every hour and is the main cost of holding a leveraged position, so this is the number that decides whether a carry trade survives. Pair it with x402-perp-funding-arb to compare the same asset against Hyperliquid.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-funding"},{"description":"x402-polyperp-markets: Every market tradable on Polymarket Perps, with the constraints you need before sending an order — max leverage, risk tiers, minimum notional, maximum market and limit notional, price and quantity decimals, the allowed price band as a percentage, funding interval, liquidation fee, and whether the market is isolated-margin only. Covers 40 US equities (AAPL, NVDA, TSLA, MSFT, META, GOOG, AMZN, AMD, TSM, ASML, ORCL, PLTR, BABA, SAMSUNG...), 40 crypto pairs, 5 indices (SP500, NAS100, EWY, DRAM, NCLD) and 4 commodities (GOLD, SILVER, WTI, BRENT) — leveraged and trading 24/7, including weekends when the underlying cash market is shut. Use x402-polyperp-quotes for the live prices of these markets.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"limit":{"description":"Limit to process","type":"string"}},"type":"object"},"name":"x402-polyperp-markets"},{"description":"x402-polyperp-quotes: Live quotes for Polymarket Perps markets — index price, mark price, last traded price, mid, open interest, the current hourly funding rate and its annualised equivalent, and when funding is next charged. Also reports how far the mark sits from the index in basis points, which is the number that tells you whether the perpetual is trading rich or cheap versus its underlying. One call without a symbol returns the whole board; pass symbol to price a single market.","inputSchema":{"properties":{"category":{"description":"Category to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-quotes"},{"description":"x402-polyperp-trades: The recent trade tape for one Polymarket Perps market — every fill with its side, price, size and timestamp — plus the derived flow statistics a signal actually uses: buy/sell volume split, net flow, volume-weighted average price, the largest print, and average trade size. Works for equities, indices and commodities as well as crypto. Use x402-polyperp-book to see resting liquidity, and this to see what actually executed.","inputSchema":{"properties":{"hours":{"description":"Hours to process","type":"string"},"id":{"description":"Id to process","type":"string"},"instrument":{"description":"Instrument to process","type":"string"},"limit":{"description":"Limit to process","type":"string"},"symbol":{"description":"Symbol to process","type":"string"}},"type":"object"},"name":"x402-polyperp-trades"},{"description":"Liquidity Pool Intel: A-B pair pool depth and best pool.","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"tokenA":{"description":"TokenA to process","type":"string"},"tokenB":{"description":"TokenB to process","type":"string"}},"type":"object"},"name":"x402-pool-intel"},{"description":"Pooled Std: Pooled Std","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-std"},{"description":"Pooled Variance: Pooled Variance","inputSchema":{"properties":{"a":{"description":"A to process","type":"string"},"b":{"description":"B to process","type":"string"},"group1":{"description":"Group1 to process","type":"string"},"group2":{"description":"Group2 to process","type":"string"}},"type":"object"},"name":"x402-pooled-variance"},{"description":"Population: Population","inputSchema":{"properties":{"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"name":{"description":"Name to process","type":"string"}},"type":"object"},"name":"x402-population"},{"description":"Population Mean: Mean of population.","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-mean"},{"description":"Population Stddev: Population Stddev","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-stddev"},{"description":"Population Variance: Population Variance","inputSchema":{"properties":{"values":{"description":"Values to process","type":"string"}},"type":"object"},"name":"x402-population-variance"},{"description":"Pos Tag: Part-of-speech tagging for English text. Provide text; returns word tags using a lightweight heuristic tagger.","inputSchema":{"properties":{"content":{"description":"Content to process","type":"string"},"input":{"description":"Input to process","type":"string"},"label":{"description":"Label to process","type":"string"},"labels":{"description":"Labels to process","type":"string"},"text":{"description":"Text to process","type":"string"}},"type":"object"},"name":"x402-pos-tag"},{"description":"Postal Code: Postal Code","inputSchema":{"properties":{"code":{"description":"Code to process","type":"string"},"country":{"description":"Country to process","type":"string"},"input":{"description":"Input to process","type":"string"},"zip":{"description":"Zip to process","type":"string"}},"type":"object"},"name":"x402-postal-code"},{"description":"Potential Energy: Energy of potential.","inputSchema":{"properties":{"gravity":{"description":"Gravity to process","type":"string"},"height":{"description":"Height to process","type":"string"},"mass":{"description":"Mass to process","type":"string"}},"type":"object"},"name":"x402-potential-energy"},{"description":"Pounds To Kg: Convert pounds to kg.","inputSchema":{"properties":{"pounds":{"description":"Pounds to process","type":"string"},"value":{"description":"Value to process","type":"string"}},"type":"object"},"name":"x402-pounds-to-kg"},{"description":"Pow Mod: Calculate modular exponentiation (base^exponent mod modulus) efficiently. 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