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Drop the first N elements. Call when you skip headers or already-processed agent rows. Returns remaining 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.

Return the first list element. Call when you need head of an agent-held array safely. Returns value and empty flag 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.

Return the last list element. Call when you need tail of an agent-held array safely. Returns value and empty flag 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.

Drop null/empty values from a list. Call when you clean agent arrays before serialization. Returns compacted items, count, removed 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.

Reverse a list. Call when you need reverse chronological agent logs. Returns reversed 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.

Return the element at index. Call when you pick a specific agent-held array slot with bounds check. Returns value, index, ok 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.

Sort a list numerically. Call when you order agent-held scores or prices. Returns sorted numbers 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.

Sort a list as strings. Call when you order agent-held labels stably. Returns sorted strings 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.

Take the first N elements. Call when you cap agent payloads before paid calls. Returns items prefix 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.

Normalize audit events while hashing the actor identifier. Use it as a bounded preflight or analysis step inside an enterprise agent workflow before data, policy, integration, security, or commercial decisions reach production. Returns deterministic machine-readable JSON for $0.003 USDC via x402 on Base or Solana. Execution is first-party, local-only, stateless, memory-only, and has no paid upstre

Authorization Scheme Identify: Authorization Scheme Identify identifies an Authorization scheme without exposing or validating credentials from bounded caller-supplied values without an external provider. Call Authorization Scheme Identify before accepting, caching, redirecting, or retrying a caller-supplied web response. Returns normalized web evidence, the computed finding, and an explicit pass

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.

Average of a numeric list. Call when you need a mean for agent metrics samples. Returns average 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.

Normalize await/job status fields for media-long jobs. Call when agents polling long jobs need a stable status shape. Returns normalized status object 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.

Volume-weighted average entry across fill price/size pairs. Call when averaging multiple fills into one book cost basis. Returns average entry and total size 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.

Calculate a bounded exponential backoff schedule for reliable autonomous retries. Use it before an autonomous workflow acts on untrusted input, changes an API, retries a request, or evaluates production reliability. Returns bounded machine-readable JSON for $0.002 USDC via x402 on Base or Solana. Execution is deterministic, first-party, local-only, stateless, and does not call an upstream provider

Base32 encode or decode. Use when agents must interchange codes for TOTP seeds, IDs, or transport-safe blobs. Returns encoded or decoded Base32 text with mode used. $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.

Encode or decode Base64 safely for $0.001 USDC; bounded, deterministic, and keyless. 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.

Validate Bitcoin-base58 alphabet membership for local address hygiene — call when checking Bitcoin-base58 alphabet membership locally. Use for chain input hygiene without live RPC—adjacent to OneSource-class small chain reads, but static/local only so rights and margin stay clear. Returns deterministic machine-readable JSON for $0.003 USDC via x402 on Base. Execution is first-party, local-only, st

Stake size from bankroll and fraction (Kelly or fixed-f). Call when turning a fraction into dollars to risk this bet. Returns stake amount 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.

Estimate decoded byte size of a base64 string without full decode — first-party local utility for agent preflight and proven micro-utils expansion. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Execution is first-party, local-only, stateless, and memory-only with no paid upstream, no input retention, no web search, no live RPC, and no mediagen. Results are advisory;

Base64url-encode text without padding. Call when you build JWT-like segments or URL-safe tokens. Returns encoded text 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.

Base64url-decode text (padding optional). Call when you reverse URL-safe tokens held by agents. Returns decoded text and ok 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.

Base Block Time Estimate: Base Block Time Estimate estimates block count from a caller-supplied duration and block-time assumption from bounded caller-supplied values without an external provider. Call Base Block Time Estimate before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or s

Base Gas Price Staleness: Base Gas Price Staleness checks the age of a caller-supplied gas quote before use from bounded caller-supplied values without an external provider. Call Base Gas Price Staleness 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 fa

Base Confirmation Eta: Base Confirmation Eta estimates remaining confirmation time from caller-supplied block cadence from bounded caller-supplied values without an external provider. Call Base Confirmation Eta before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or shape findings, a

Base Fee Budget Breakdown: Base Fee Budget Breakdown breaks a Base transaction fee ceiling into gas, priority, and total values from bounded caller-supplied values without an external provider. Call Base Fee Budget Breakdown before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or sha

Base Settlement Receipt Check: Base Settlement Receipt Check checks caller-supplied receipt chain, status, recipient, and raw amount from bounded caller-supplied values without an external provider. Call Base Settlement Receipt Check before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budg

Base Payment Deadline Check: Base Payment Deadline Check checks a Base payment deadline against minimum and maximum lead time from bounded caller-supplied values without an external provider. Call Base Payment Deadline Check before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or sha

Base USDC Amount Check: Base USDC Amount Check checks a six-decimal USDC raw amount against exact and maximum values from bounded caller-supplied values without an external provider. Call Base USDC Amount Check before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or shape findings, a

Base USDC Decimal Rounding: Base USDC Decimal Rounding checks whether a decimal USDC amount fits six fractional digits exactly from bounded caller-supplied values without an external provider. Call Base USDC Decimal Rounding before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or sha

Base USDC Recipient Check: Base USDC Recipient Check compares a Base USDC recipient with an expected pay-to address from bounded caller-supplied values without an external provider. Call Base USDC Recipient Check before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or shape findings,

Base USDC Payment Match: Base USDC Payment Match checks recipient, raw amount, and chain id for a Base USDC payment intent from bounded caller-supplied values without an external provider. Call Base USDC Payment Match before signing, submitting, replacing, or accepting an EVM/Base transaction assembled from caller-owned data. Returns normalized transaction evidence, calculated budget or shape find

Extract basename from a URL or path-like string — first-party local utility for agent preflight and proven micro-utils expansion. Returns deterministic machine-readable JSON for $0.001 USDC via x402 on Base. Execution is first-party, local-only, stateless, and memory-only with no paid upstream, no input retention, no web search, no live RPC, and no mediagen. Results are advisory; the caller owns a

Batch Chunk Plan: Batch Chunk Plan plans ordered bounded chunks from item count and chunk size from bounded caller-supplied values without an external provider. Call Batch Chunk Plan 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 cont

Batch Completion Gate: Batch Completion Gate checks terminal item coverage and minimum success fraction from bounded caller-supplied values without an external provider. Call Batch Completion Gate 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 version

Basis percent = (future − spot) / spot for carry checks. Call when cash-and-carry or premium/discount scans from caller prices. Returns basis 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.

Basis in bps from future vs spot for desk reports. Call when expressing futures premium in standard bps units. Returns basis 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.

Batch Concurrency Plan: Batch Concurrency Plan calculates batch waves from item count and concurrency from bounded caller-supplied values without an external provider. Call Batch Concurrency Plan 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 versione

Batch Idempotency Keys: Batch Idempotency Keys derives stable non-secret idempotency keys for batch items from bounded caller-supplied values without an external provider. Call Batch Idempotency Keys 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 vers

Batch Dependency Levels: Batch Dependency Levels topologically groups bounded jobs into executable dependency levels from bounded caller-supplied values without an external provider. Call Batch Dependency Levels 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

Batch Error Budget Check: Batch Error Budget Check checks failed item count and fraction against caller budgets from bounded caller-supplied values without an external provider. Call Batch Error Budget Check 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, an

Batch Retry Partition: Batch Retry Partition partitions batch results into retryable and terminal identifiers from bounded caller-supplied values without an external provider. Call Batch Retry Partition 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 v

Batch Result Summary: Batch Result Summary summarizes success, failure, pending, and unknown batch statuses from bounded caller-supplied values without an external provider. Call Batch Result Summary 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 vers

Batch Rate Limit Plan: Batch Rate Limit Plan calculates dispatch duration from request count and rate window from bounded caller-supplied values without an external provider. Call Batch Rate Limit Plan 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 ve

Recommend a batch size from item count, hard cap, and average item bytes — call when batching micro-calls under item and byte caps. Use before side effects when composing multi-step agent jobs—the same loyalty/workflow demand band agents already pay for on Bazaar, but fully local. Returns deterministic machine-readable JSON for $0.003 USDC via x402 on Base. Execution is first-party, local-only, st

Validate BIC/SWIFT format shape (8 or 11 alnum). Call when preflight for bank routing fields. Returns valid boolean 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.

Expected value of buying binary NO at (1−yes_price) under true_prob. Call when checking the NO side when YES is mispriced the other way. Returns EV per $1 notional on NO 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.

Convert bit count to bytes. Call when you convert link rates into byte budgets. Returns bytes, bits, whole_bytes 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.