Check a citation before repeating it. Give a DOI, an arXiv ID or a paper title; the answer says whether the work exists, what it is (title, authors, year, container) and whether it has been retracted. A title that is absent from both Crossref and arXiv returns not_found, and a near title match is never reported as verified. Cited to the source record with its retrieval time. Verdicts: verified, ambiguous, retracted, not_found, unknown.

Guess MIME type from file extension. Call when you set Content-Type hints for agent uploads. Returns mime, ext, known 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.

Generate a secure random integer in a caller-supplied range for $0.001 USDC. Call when you need a CSPRNG draw for ids, jitter, or sampling without installing a crypto library. First-party local only—not a lottery, custody, or production RNG SLA. No API key, no subscription.

Set intersection of two lists. Call when you find shared agent tags/IDs. Returns intersection items and 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.

Independently fetch, hash, timestamp and archive a URL or API response; returns a signed certificate. Merkle-anchored on Base hourly. Neutral third-party evidence for agent commerce disputes.

Digest Header Verify: verifies a sha-256 Digest value against caller-supplied text bytes using only bounded caller-supplied values. Call when you need a bounded digest header verify result before accepting, caching, redirecting, or retrying a caller-supplied web response. Returns normalized web evidence, the computed finding, and an explicit pass or advisory status for Digest Header Verify as versioned deterministic JSON. Price: $0.001 USDC via x402 on Base or Solana. First-party, stateless, me…

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.

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.

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.

Detect common SPF mechanisms present in a TXT record. Call when quick SPF mechanism inventory without DNS lookup. Returns flags for include/a/mx/all 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.

Compute mid price from bid/ask top-of-book levels. Call when you have L1 bid and ask and need a mid for marks. Returns mid, spread_abs, and spread_bps 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.

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.

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.

SHA-256 hex digest of UTF-8 text. Call when content addressing or dupe keys for text. Returns sha256 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.

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.

Title-case text for agents. Call this when you need headline-ready casing for titles, product names, or UI labels mid-workflow. Returns structured JSON with the title-cased string and a tiny receipt schema. $0.001 USDC per successful call via x402 on Base or Solana—deterministic first-party JSON, no API key, no subscription, and nothing is billed on structured validation errors.

Deduplicate a list preserving order. Call when you unique agent keys without sorting. Returns unique items and 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.

GPT pricing table: what every GPT model costs per token right now — GPT-5, GPT-5 mini, GPT-4o, GPT-4.1, o3 — from OpenAI and every provider that resells or hosts them (Bedrock, Azure, Vertex, OpenRouter, Fireworks). Input, output, cache and batch USD per 1M tokens, sorted cheapest first, so you can compare GPT inference cost across hosts and pick the cheapest place to run one. Normalized, cross-checked, refreshed hourly.

Proportional Kelly-like stakes across exclusive outcomes. Call when allocating bankroll across multi-outcome prediction markets. Returns stakes and fractions per outcome 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.

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.