Resolve a Unicode block name (loose matching) to its range, size, count of assigned characters and a small sample. An unknown block is a successful `found:false`. This is a Unicode Character Database block — not a blockchain block.

Report the ground resolution (metres per pixel, for 256-px tiles) and the OGC map scale denominator at a zoom level, optionally adjusted for latitude (default equator).

Encode a coordinate to a geohash and return its bounding box and 8 neighbors.

Live web search for agents: up to 10 results with title, URL and snippet. Use it when your agent needs to find current pages and has a wallet instead of a search API key. Charged ONLY if the search succeeds. Results pair with /v1/web/read, which returns any of them as clean markdown.

Validate a payment-card number: Luhn check-digit test plus network detection and length check. A syntactically valid number that fails Luhn returns `valid:false` (a 200, not an error).

Compute network details of a CIDR block — network & broadcast address, usable host range, total and usable address counts. Works for IPv4 and IPv6 (counts returned as strings for large IPv6 blocks). Honours RFC 3021 for /31.

Render an ISO 8601 duration as an English phrase, e.g. 'P1Y2M' → '1 year and 2 months'. Components are shown in descending order with correct pluralization.

Add an ISO 8601 duration to a start date or date-time and return the resulting UTC instant. Calendar-aware: months and years honor month lengths (e.g. Jan 31 + P1M clamps to the last day of February). A negative-signed duration subtracts.

Parse an ISO 8601 duration such as 'P1Y2M10DT2H30M' into its components. Returns a normalized ISO string and totalSeconds — but totalSeconds is null when the duration contains years or months, because those are calendar-variable (use /v1/add or /v1/between for exact date math).

Validate a GTIN barcode number — EAN-8, UPC-A (12), EAN-13 or GTIN-14 — by the standard mod-10 check digit. Length selects the scheme.

Compute the calendar breakdown (years, months, days, hours, minutes, seconds) between two ISO 8601 dates/date-times, plus exact totalSeconds. If end precedes start the result is flagged negative rather than erroring.

Validate a 15-digit mobile device IMEI by its Luhn check digit. Spaces and hyphens are ignored.

Compute the standard English readability formulas — Flesch Reading Ease, Flesch–Kincaid grade, Gunning fog, SMOG, Coleman–Liau and ARI — along with the underlying sentence/word/syllable statistics. Empty text is a clean 400.

Add/subtract business days to a date, or count business days between two dates — skipping weekends and optional holidays.

Compute the date of Western (Gregorian) Easter Sunday for a year in 1583..9999 using the Anonymous Gregorian computus.

Generate a harmony scheme (complementary, analogous, triadic, tetradic, monochromatic) from a base color.

Net present value of a series of cash flows discounted at a per-period rate. cashflows[0] is the time-0 flow (typically the initial outlay, negative).

Convert an ISO datetime into another timezone, with offset, weekday and Unix time.

Return the ISO-8601 week-numbering year, week number (1..53) and weekday (1=Monday..7=Sunday) for a Gregorian date. The ISO year can differ from the calendar year around New Year.

Return the ordinal day of the year (1..366), the number of days in that year and whether it is a leap year.