the402 x402 endpoint directory

Ordinary-least-squares linear regression of y on x: slope, intercept, correlation r and coefficient of determination r

Pearson correlation coefficient and covariance of two equal-length paired series. Rejected as a clean 400 if the lengt

Evaluate one or more percentiles (0–100) of a numeric sample using linear interpolation between order statistics (the

Full descriptive summary of a numeric sample: count, sum, min/max/range, mean, median, mode(s), variance, standard dev

Euclidean, Manhattan and Chebyshev distance between two 2-D points.

Area (shoelace formula), perimeter and centroid of a simple polygon given its vertices in order. Vertices are treated

Area (Heron's formula), perimeter and interior angles of a triangle from its three side lengths. Sides that violate th

Area, perimeter and diagonal of a rectangle from its width and height.

Diameter, circumference and area of a circle from its radius.

Internal rate of return (per period) of a series of cash flows, solved with a bounded bisection. Requires at least one

Net present value of a series of cash flows discounted at a per-period rate. cashflows[0] is the time-0 flow (typicall

Present value of a future sum and/or a level annuity, given a per-period rate and number of periods. Set dueAtBeginnin

Future value of a present sum and/or a level annuity, given a per-period rate and number of periods. Set dueAtBeginnin

Grow a principal by simple or compound interest over a number of years. Compound interest uses compoundsPerYear compou

Compute the level monthly payment, total paid and total interest of a fully-amortizing loan. Handles a 0% rate. Set sc

Parse an expression and return the free variables it references, without evaluating it — so an agent can discover whic

Evaluate a mathematical expression with optional named variables — arithmetic, comparison and logic operators plus fun

Decode a MessagePack or CBOR byte stream (supplied as a base64/base64url/hex string) back into a JSON value. A malform

Serialize a JSON value into a compact MessagePack or CBOR byte stream, returned as a base64 (default), base64url or he

Mint a signed JSON Web Token from a JSON claims object, using a shared secret (HS*) or a PEM private key (RS/ES/PS). S

Verify a JSON Web Token's signature and claims against a shared secret (HS*) or a PEM public key (RS/ES/PS). Returns {

Decode a JSON Web Token WITHOUT verifying its signature and return the header, payload and signature. A structurally m

Rebuild a nested object from a single-level object whose keys are delimited paths (default delimiter `.`) — the invers

Flatten a nested object/array into a single-level object whose keys are the delimited paths to each leaf (default deli

Deep-merge an ordered list of JSON documents, left to right. Objects are merged key-by-key; arrays, scalars and null i

Apply an RFC 6902 JSON Patch to a JSON document and return the result. An invalid or unresolvable patch (e.g. a failed

Compute the RFC 6902 JSON Patch that transforms `source` into `target`. The patch is a minimal array of add/remove/rep

Evaluate a JMESPath expression against a JSON value and return the selected/projected result. A malformed expression i

Parse a document (in any format) and re-emit it in the RFC 8785 JSON Canonicalization Scheme form — sorted keys, canon

Infer a JSON Schema (draft-07) from a sample document in any supported format. Types are inferred, present keys are ma

Sniff which structured format an unknown document is. Because formats overlap, returns every plausible format with a 0

Parse a document (json, json5, jsonc, yaml, xml, csv, tsv, toml, ndjson, ini, env, properties, plist or querystring) a

Transcode a document between json, json5, jsonc, yaml, xml, csv, tsv, toml, ndjson, ini, env, properties, plist and qu

Read the text out of a QR code or barcode in a PNG or JPEG image. Auto-detects QR, DataMatrix, PDF417, Aztec and 1D sy

Render a barcode (Code128, Code39, EAN-13/8, UPC-A/E, ITF-14, DataMatrix, PDF417) as SVG or PNG data URL.

Render text (URL, vCard, Wi-Fi config, …) as a QR code — SVG string or PNG data URL.

Validate a BIC/SWIFT code and decompose it into bank, country, location and branch codes.

Validate an IBAN (mod-97 checksum, length, country format) and decompose it into country, bank, branch and account par

Count the LLM tokens in text for a given model or encoding — exact for OpenAI and open models (Llama, Mistral, Qwen, G

Get weather observations (METAR) for a specific airport

Rerank passages by relevance to a query via Cloudflare Workers AI (@cf/baai/bge-reranker-base). Send {query, documents

Fetches a domain's home page and returns its declared icons, ranked, with the best-available logo first.

Validate email format, disposable-domain heuristics, and live DNS MX records via DoH for outreach and lead-gen agents

Total DeFi TVL for every chain DefiLlama tracks, ranked. Query: limit (1-500). Each: name, tvl_usd, token.

Mean SoilGrids sand fraction for the 0-5 cm layer. The service evaluates a 60 metre local analysis grid around one coo

Mean SoilGrids clay fraction for the 0-5 cm layer. The service evaluates a 60 metre local analysis grid around one coo

Mean SoilGrids pH in H2O for the 0-5 cm layer. The service evaluates a 60 metre local analysis grid around one coordin

Return the input text with every detected PII span replaced. `mode` controls the replacement: "label" (default) → `[EM

Find personally identifiable information in a text blob: emails, phone numbers, credit cards (Luhn-validated), IBANs (

Checks a proposed package name against a registry’s own naming rules (npm scoping and URL-safety, PEP 503 normalizatio