Convert between a JSON array and JSONL/NDJSON (one JSON object per line). mode: to-jsonl (array → lines) or from-jsonl (lines → array). For streaming records to and from agents and datasets.

Deep-merge two JSON objects (b wins on conflicts; arrays are concatenated).

Delete a remembered document by id from the recall store.

Check whether a year is a leap year and get related info: days in that year, the next and previous leap years, and the Gregorian leap-year rule.

Fit a least-squares line y = slope·x + intercept to two equal-length series. Returns slope, intercept, r² (variance explained), and optionally predicted y values for new x inputs - useful for trend extrapolation (e.g. project next quarter's revenue from the last 8 quarters).

Compute the monthly (or per-period) payment on a fully-amortizing loan: mortgage, auto, student loan, business loan. Returns the periodic payment, total paid over the term, and total interest. Matches Excel's PMT(rate, nper, -principal). Use this when you just need the payment number, not the full per-period schedule (see amortization).

Resolve an RFC 6901 JSON Pointer (e.g. /items/0/name) against a JSON value. Returns the value or found:false.

Extract a value from JSON by dot/bracket path, e.g. "items[2].name".

Compute the net present value of a stream of cashflows at a given discount rate. Index 0 is treated as t=0 (today, not discounted); indices 1..n are discounted by (1+rate)^t. Matches Excel's NPV but with the conventional t=0 treatment most finance textbooks use (Excel itself starts discounting at t=1 - see notes). Use for capital-budgeting decisions: positive NPV = creates value at the discount rate; negative = destroys value.

Tamper-evident history of changes to a namespace - a hash-chained audit log the server attests to (provenance an agent can't forge for itself). Entries are kept for a bounded window (see retention in the answer), and an entry naming a key or document that was later deleted is redacted while still linking the chain.

Compute simple (SMA) and exponential (EMA) moving averages over a numeric series. Returns one value per input position - the first (window-1) SMA values are null since there isn't enough history. EMA uses the standard alpha = 2/(window+1) smoothing factor used in technical analysis.

Compare two OpenAPI 3.x or Swagger 2.x documents and return a structured diff: added / removed / changed endpoints, with a conservative "is any change breaking?" flag. Breaking = an endpoint or required-2xx status was removed, a required parameter was added, an optional param became required, a param type changed, or a JSON body field became required. Pure CPU - deterministic, no network, no $ref dereferencing (resolve refs upstream if needed).

Revoke a previously granted wallet's access to your namespace.

List the wallets you've granted access to your namespace, with their mode and expiry.

Flatten an OpenAPI 3.x or Swagger 2.x spec into a structured list of callable endpoints - one row per operation with method, path, operationId, summary, tags, parameters (name / in / required / type), JSON-body flag, and documented response codes. Includes per-method and per-tag counts so an agent can pick what to call next without parsing the full spec. Output is sorted by path then method for stable, agent-friendly grouping. Pure CPU - deterministic, no network, no $ref dereferencing.

Shrink an OpenAPI 3.x or Swagger 2.x document for LLM context by stripping verbose meta-fields (examples, descriptions, summaries, tags, externalDocs, deprecated). Categories are explicit; default is `["examples", "descriptions"]`. User-defined property names under `properties: { ... }` are protected - only the meta-field `example` keyword inside a property schema is removed, not a user property literally named "example".

Format a number: thousands separators, fixed decimals, optional currency, or compact (1.2K / 3.4M).

Open interest for one perpetual in coins and USD notional with its share of the venue total, or the top N contracts ranked by open interest plus the venue total. Use it when an agent needs positioning size for a market or a leaderboard of where leverage is concentrated right now.

Score a password's strength: character-set size, entropy bits, a 0–4 rating, and an estimated offline crack time. The password is never stored or logged.

Flesch Reading Ease score and Flesch–Kincaid grade level for English text, plus word/sentence/syllable counts.