Science And Education x402 offerings

Solves a system of linear equations (Ax = b) using the ml-matrix library's LU decomposition (LuDecomposition), with a near-singularity guard beyond the library's exact-singular check, for systems up to 20x20.

Periodic table element lookup by symbol or atomic number, returning name, atomic mass, and category. Covers the most commonly referenced elements.

Sunrise, sunset, solar noon, day length, and moon phase for a given latitude/longitude/date, computed via the suncalc library (standard solar/lunar position algorithms) — precise astronomical math an LLM cannot reliably compute mentally.

Prime factorization of an integer via trial division, returning the full list of prime factors (with repetition).

Scientific unit conversion for pressure, energy, and molarity using exact conversion factors.

Search Singapore MOE schools by name or postal code (optional level filter). Results include the school directory joined with subjects offered, CCAs, MOE programmes and distinctive programmes.

Searches OpenAlex (CC0) for scholarly works: title, authors with institutions, year, venue, DOI, open-access PDF link, citation count, topic and abstract (max 2,000 characters). Filters: publication year range, open access only, minimum citations; sort by relevance, citations or date (citations and date search the words as one phrase). Limit max 25.

Up to 15 question and answer pairs written from a text (max 30,000 characters). Each answer carries a supporting quote that is checked against the text; pairs whose quote does not occur in the text are dropped. Model-written: review the questions before publishing.

A DOI's bibliographic record from Crossref (title, authors, journal, publisher, date, type, citation count, license), or the best matches for a citation-style search (max 10). An unknown DOI answers 404, not charged.

Book lookup by ISBN (checked before the call) or by title and/or author: title, subtitle, authors, publishers, first publish year, median page count, ISBN-10 and ISBN-13 of the matching edition, languages, subjects, cover image URL, and the Open Library work and Wikidata ids. Data from Open Library (CC0). A title with no match is a 404, not charged. Up to 20 results.

arXiv papers matching search terms, optionally in one category (cs.AI, math.CO), newest first, max 25: id, title, authors, dates, a 500-character summary, categories and the PDF link. Attribution: Thank you to arXiv for use of its open access interoperability.

Evaluates skill mastery from inputs and returns an AI-generated assessment score.

Smart, auto-routed research paper search. A broad field term is grounded against the OpenAlex taxonomy and returned as a coherent field cluster; a natural-language question runs hybrid retrieval over OpenAlex and Semantic Scholar with reciprocal rank fusion and a SPECTER2 embedding rerank. The response exposes the routing decision, and each paper carries title, authors, year, venue, citation count, DOI, and a relevance score. Keyless.

Uses rated electrical power, food mass, start and target temperature, specific heat and an explicit efficiency range supplied by the caller. Optional vessel heat, evaporation and a caller-defined hold phase can be included. It contains no recipes, recipe text, food-specific cooking claims or hidden food database; the output separates the thermodynamic lower bound from the practical range and is not a food-safety clearance.

Generate a list of prime numbers up to a specified limit.

Generate twin prime pairs (p, p+2, both prime) up to a specified limit.

Calculate Euler totient function phi(n) for a given positive integer n.

Generate twin prime pairs (p, p+2, both prime) up to a specified limit.

Generate a list of prime numbers up to a specified limit.

Calculate Euler totient function phi(n) for a given positive integer n.

Space Markets Index (SMI), published by Space Markets, Inc.: orbital launch activity from public data. Weekly 2026 launch series, per-launch records (rocket, mission, payloads, mass status) and SMI prints, as small JSON. Each read costs $0.01 test USDC via x402 on Base Sepolia (testnet). Data: GCAT (J. McDowell, planet4589.org), CC BY 4.0, modified by Space Markets. Not affiliated with or endorsed by SpaceX. Data only, not advice. Free: https://smx.space/smi-api/latest

Uses da/dt = -rho×sqrt(mu×a)/ballistic_coefficient for a circular orbit, holds density and ballistic coefficient constant, and linearly projects altitude over a bounded horizon. Real density changes rapidly with altitude and solar activity; the result is not a lifetime prediction or maneuver plan.

Propagates a circular two-body orbit from altitude, inclination, RAAN, and initial orbital phase; rotates Earth at a fixed sidereal rate; and samples ground-station elevation. It ignores eccentricity, perturbations, epoch-dependent Greenwich angle, refraction, ellipsoid shape, terrain, and antenna masks, so it is a planning estimate rather than operational ephemeris.

Propagates two caller-supplied Cartesian states with constant velocity, analytically finds the clamped time of closest approach, and compares miss distance with combined hard-body radius. It ignores gravity, covariance, maneuver uncertainty, tracking error, and nonlinear dynamics and is not an operational conjunction assessment.