Convert fractional rates into basis points for trading UIs. Call when you need bps labels from internal 0–1 fee or edge fractions. Returns bps = fraction*10000 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.

Primality check. Call for teaching demos, ID heuristics, or lightweight number filters (bounded integers). Returns whether n is prime with a clear boolean field. $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.

EVM Nonce Gap Check: calculates the gap between pending and proposed transaction nonces using only bounded caller-supplied values. Call when you need a bounded evm nonce gap check result before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or shape findings, and a fail-closed preflight status for EVM Nonce Gap Check as versioned deterministic JSON. Price: $0.001 USDC via x402 on B…

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.

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.

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.

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.

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.

Link Header Parse: parses bounded Link header targets and relation parameters using only bounded caller-supplied values. Call when you need a bounded link header parse 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 Link Header Parse as versioned deterministic JSON. Price: $0.001 USDC via x402 on Base or Solana. First-party, stateless, memory-only executi…

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.

Boolean AND of two coerced values. Call when you combine agent preflight gates. Returns AND result 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.

Human-readable byte sizes. Call when presenting file sizes, cache usage, or download progress to users. Returns a human string like 1.5 KB from a byte count. $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.

Map a true probability into a binary contract fair price in [0,1]. Call when pricing yes/no markets from your probability model. Returns fair price in [0,1] 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.

X402 Asset Match: compares a challenge asset identifier with buyer-supported assets using only bounded caller-supplied values. Call when you need a bounded x402 asset match result before paying for or accepting an x402 or agent delivery assembled from caller-supplied challenge and result metadata. Returns contract-specific checks, normalized evidence, mismatch reasons, and an explicit acceptance or rejection status for X402 Asset Match as versioned deterministic JSON. Price: $0.001 USDC via x40…

CSV Join By Key: inner-joins two bounded CSV tables on one key column using only bounded caller-supplied values. Call when you need a bounded csv join by key result before an agent hands structured data or a batch plan to a downstream tool with a stricter contract. Returns the bounded transformation or validation finding with counts, normalized values, and a versioned result contract for CSV Join By Key as versioned deterministic JSON. Price: $0.001 USDC via x402 on Base or Solana. First-party,…

Truncate text with ellipsis 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.

Logit transform log(p/(1−p)) for probability-space models. Call when featureizing probabilities for linear models offline. Returns logit value 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.

Sort lines of 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.