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.

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.

Extract file extension from a path or URL path segment. Call when you need this bounded result before handing data to a downstream tool. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Honest limit: execution uses only caller-supplied data in memory; it does not call a paid upstream, retain input, search the web, read a live RPC, or invoke a media generator. Results are advisory; the caller owns authorization, budgets, 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.

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.

JSON Boolean Coerce: coerces explicit boolean tokens while reporting rejected values using only bounded caller-supplied values. Call when you need a bounded json boolean coerce 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 JSON Boolean Coerce as versioned deterministic JSON. Price: $0.001 USDC via x402 on Base…

Extract issue/issuewild hosts from CAA record texts. Call when inventorying allowed CAs from CAA answers. Returns hosts list 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.

Normalize a hexadecimal string with optional prefix and even-length validation. Call when you need this bounded result before handing data to a downstream tool. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Honest limit: execution uses only caller-supplied data in memory; it does not call a paid upstream, retain input, search the web, read a live RPC, or invoke a media generator. Results are advisory; the caller owns authorization, budgets, and production control…

Drawdown percent from peak to trough for risk reports. Call when measuring path risk on an equity or price series peak/trough pair. Returns drawdown percent 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.

Check whether a string is empty or contains only whitespace. Call when you need this bounded result before handing data to a downstream tool. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Honest limit: execution uses only caller-supplied data in memory; it does not call a paid upstream, retain input, search the web, read a live RPC, or invoke a media generator. Results are advisory; the caller owns authorization, budgets, and production controls.

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…

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,…

Compound a list of period returns into a total growth factor. Call when multi-period performance rollups from return series you already have. Returns compounded factor and total return 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.

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.

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.

Cookie Domain Match: evaluates host-only or Domain cookie matching for a request host using only bounded caller-supplied values. Call when you need a bounded cookie domain match 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 Cookie Domain Match as versioned deterministic JSON. Price: $0.001 USDC via x402 on Base or Solana. First-party, stateless, memory-…

Convert text to lowerCamelCase for JSON property naming. Call when you need this bounded result before handing data to a downstream tool. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Honest limit: execution uses only caller-supplied data in memory; it does not call a paid upstream, retain input, search the web, read a live RPC, or invoke a media generator. Results are advisory; the caller owns authorization, budgets, and production controls.

Scale ether amounts into wei integer strings for transfers and tx value. Call when preparing value fields, allowances, or transfers denominated in ETH. Returns wei integer string and eth input 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.