Science And Education x402 offerings

Searches for books and returns matching results from a curated book database.

Validate one ISBN checksum and return its Open Library edition, work and author records projected into one sourced CSL-JSON book item; invalid or absent ISBNs return an explicit refusal. The FOUR truth reading is true when found and neither on refusal.

Weighted interval scheduling solver — exact maximum-weight compatible job scheduling with half-open intervals and a complete dynamic-programming certificate.

Get a checked rational bracket for a degree 1-8 polynomial root. Bisect a sign-changing rational bracket for at most 64 iterations; return a certified bracket or exact rational root. No arbitrary code, all-roots or uniqueness claim. New modular adapter: retained result recovery for 24 hours, minimal receipt metadata for 90 days. Existing live route unchanged.

Business Frameworks · business-frameworks/risk/why@1.5 — why r, the cost of capital used as the discount rate, is a price and not a feeling about danger, and how it is set. Call before using the risk scale bands or the two risk decisions (hurdle, concentration); returns 494 tokens of original synthesis citing one published work, with child handles — free layer at /catalogue.

Academic letter grade with red-pen marginalia for anything. $0.01 USDC.

Unified wallet intelligence bundle (balances + activity + identity + sanctions) — $0.005 USDC

USD price for any major token by symbol or chain+contract — $0.001 USDC

Look up a periodic-table element by exactly one of `symbol` (e.g. "Fe"), `name` (e.g. "iron") or atomic `number` (1..118). Returns its number, symbol, name, standard atomic weight and whether that we…

Search the periodic table by name or symbol substring. Exact matches rank first, then prefix matches, then substring matches. Returns up to `limit` elements (default 20) plus the total match count.

Compute the molar mass (g/mol) of a chemical formula. Supports nested parentheses and brackets, element multipliers, and hydrate dot notation with coefficients (e.g. "Ca(OH)2", "CuSO4·5H2O", "K4[Fe(C…

Given a reaction and the supplied amount of every reactant, identify the limiting reagent and compute leftover reactant and theoretical product yields.

Balance an equation such as "H2 + O2 -> H2O" into the smallest whole-number coefficients using exact rational linear algebra. Equations that cannot be balanced with positive coefficients are clean 40…

Given a reaction and a known amount (moles or grams) of one species, compute the amount of a target species. The equation is balanced automatically.

Evaluate a chess position with Stockfish: best move, centipawn/mate score, principal variation, and optional multipv. No mocks — a real single-threaded Stockfish 10 (asm.js) runs in-isolate per call.

Today's Lichess daily puzzle: source game, themes, initial position, solution moves, and rating.

Verify references before you publish or rely on them: up to 10 citations per call, as reference strings in any style, DOIs, or {title, authors, year, doi}. For each: status verified, mismatch (the work exists but authors, year or DOI are wrong, e.g. a real DOI that points to a different paper), uncertain or not_found (likely invented), the matched record with authors, year, venue, DOI and open-access link, the corrected issues, an APA-formatted reference, and a retraction flag with the notice…

Formats paper citations into a chosen academic style.

Citation lookup and reference list for a paper. Given a DOI, arXiv id, OpenAlex id, or PMID, returns its references (the works it cites) and its cited-by list (recent works that cite it), plus full metadata and citation count — for bibliography building and citation lookup. Keyless via OpenAlex and Semantic Scholar.

Single-paper lookup by DOI or title for research agents — citation count, influence, open-access status with a direct legal-OA link (Unpaywall), venue, and a TLDR. Deterministic passthrough over OpenAlex + Semantic Scholar + Unpaywall, no synthesis, cheap and fast.

Author metrics for research agents and grant/hiring due-diligence — works count, total citations, h-index and i10-index (OpenAlex summary stats), a 10-year output/citation trend, affiliation timeline, and an honest disambiguation-confidence flag when the name search surfaces multiple plausible candidate profiles.

Bibliography verification for AI research agents — POST up to 20 citations (DOIs or free-text references) and get a per-reference verdict: exists/not-found, retracted/withdrawn (Crossref + Retraction Watch + OpenAlex), and title/author/year mismatches against a real record. Built for agents auditing LLM-generated bibliographies before a citation ships.

Rising-topics scan for a research field — retrieves top-cited/recent works from OpenAlex for a topic and synthesizes what's currently rising, what's foundational, and where coverage is thin. Built for research-strategy agents scanning a field before a literature review or grant proposal.

Venue/journal intelligence for authors and research agents deciding where to submit or whether to trust a citation's source — OpenAlex metrics (works, citations, DOAJ status, APC) plus Tavily-grounded, cited legitimacy signals. Never renders a bare predatory/legitimate verdict — evidence list + neutral framing only.