When to use: one market premium → need σ̂ + Greeks; cheaper/faster than a full surface. Solves Black-Scholes IV then prices Greeks at the solved σ. Same engine as the surface endpoint (fastImpliedVol). Prefer surface when you have a multi-strike/maturity book. USDC exact on Solana/Base.

Convert text to a URL-safe slug for $0.001 USDC. Call when you need this bounded result without an API key or subscription. Returns machine-readable JSON via x402 on Base or Solana. Limitation: results cover only the supplied input or one bounded public endpoint at request time; callers must verify before acting.

Get today's curated Word of the Day (definition + part of speech).

The plain-language summary of a Wikipedia article in any language edition: title, short description, lead extract, canonical URL, thumbnail and coordinates when the subject has them. Falls back to the best matching title. Query: ?title=Guadeloupe&lang=fr

The verified ABI of a smart contract on any EVM chain from Sourcify: function signatures, event names, contract name, compiler version and proxy implementations, plus the full ABI JSON ready for a client. Query: ?address=0x8335…&chain_id=8453

Echo text with length (probe channel 1). Call when you verify x402 pay→deliver wiring with a trivial payload. Returns echo text, length, echo=1 for $0.001 USDC via x402 on Base. No network, no keys, no retention; first-party local JSON only. Results are advisory; the caller owns budgets, auth, and production controls.

Get the current Base gas price and the ETH cost of an ETH, ERC-20 or x402 USDC transfer at that price. Current Base gas: gas price, base fee, priority fee, and the ETH cost of an ETH transfer, an ERC-20 transfer and an x402 USDC settlement at that price. Query: none.

Decode a vehicle identification number (VIN) into make, model, model year, trim, body class, engine (cylinders, displacement, fuel, power), drive type, transmission and assembly plant, from the official NHTSA vPIC database. Query: ?vin=1HGCM82633A004352

Apply Korean corporate-action adjustment factors to prices you send: backward (last price unchanged) or forward (first price unchanged) adjusted closes for one KOSPI or KOSDAQ stock, with the events applied and their DART citations. Fixes split and bonus-issue gaps in your own price history without redistributing any prices.

Absolute value of a number. Call when you need magnitude from signed deltas or balances. Returns absolute numeric value for $0.001 USDC via x402 on Base. No network, no keys, no retention; first-party local JSON only. Results are advisory; the caller owns budgets, auth, and production controls.

Point-to-point directions between 2 and 10 stops by car, bike or on foot: total and per-leg distance and travel time, snapped stops, route geometry as GeoJSON or polyline Point-to-point directions between 2 and 10 stops by car, bike or on foot: total an…

Address geocoding API for agents: geocode one U.S., Puerto Rico, or U.S. Island Areas address for $0.001 USDC through the public Census Geocoder. Returns approximate coordinates with required Census attribution—no global maps, navigation, or address retention.

Extract email-like addresses from text for $0.001 USDC. Call when you need this bounded result without an API key or subscription. Returns machine-readable JSON via x402 on Base or Solana. Limitation: results cover only the supplied input or one bounded public endpoint at request time; callers must verify before acting.

Turn coordinates into the nearest postal address: BAN in France, OpenStreetMap elsewhere. Coordinates to the nearest address: BAN in France (with INSEE code), Nominatim elsewhere. Query: ?lat=48.8698&lon=2.3310

Pay-per-call: Email syntax + MX check

Normalized string similarity (Levenshtein) for $0.001 USDC. Call when you need this bounded result without an API key or subscription. Returns machine-readable JSON via x402 on Base or Solana. Limitation: results cover only the supplied input or one bounded public endpoint at request time; callers must verify before acting.

Lightweight English pluralization helper. Call when you label counts in agent messages without i18n frameworks. Returns pluralized word with count for $0.001 USDC via x402 on Base. No network, no keys, no retention; first-party local JSON only. Results are advisory; the caller owns budgets, auth, and production controls.

Reliability diagram points (mean forecast vs hit rate per bin). Call when plotting calibration without a notebook stack. Returns bins with mean_forecast and hit_rate as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.

Format an integer as an English ordinal (1st, 2nd, 3rd…). Call when you need human-facing ranks or step labels for agent UIs. Returns ordinal string and n for $0.001 USDC via x402 on Base. No network, no keys, no retention; first-party local JSON only. Results are advisory; the caller owns budgets, auth, and production controls.

Overround/vig from a set of mutually exclusive implied probs. Call when measuring book margin before de-vigging. Returns overround and sum of probs as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.