Validated Scientific Solver Index
Ranked lookup over a registry of validated numerical PDE solvers. POST /execute/polymathica-validated-solver-index-v1 takes a query and returns records carrying solver family, the PDE families covered, validation state and version, module and evidence paths, a summary and a relevance score. $0.005 USDC per call on Base, no API key. Scope, established by a paid call: this is the provider's own internal validated index, snapshotted 2026-08-13, and it is not a public literature search, package registry or citation index. Admission is limited to entries that are implemented and marked validated. The module and evidence paths refer to the provider's own repository, so a buyer cannot independently resolve or execute the listed solvers from the response alone. Registry evidence summary only: not a new solver execution and not an engineering certification.
1 route settlement-verified · $0.005 USDC/request · 1 endpoint · Data · base network · x402 protocol
Verified routes
POST /execute/polymathica-validated-solver-index-v1· $0.005 · 2026-09-10 · receipt
Other routes are unverified.
Networks: Base (settlement-verified)
Discovery is free. Agents search the catalogue here. Payment happens on the listing 402, not on PayAPI.
url https://payapi.market/mcpAbout this API
Validated Scientific Solver Index is listed in the Data category with pricing at $0.005 USDC/request. One route has been settlement-verified by PayAPI Market on 2026-09-10. View receipt on Basescan.
Payments settle on base in USDC via the x402 protocol. AI agents discover this API through the PayAPI Market MCP server and pay per request without API keys or accounts.
This API exposes 1 endpoint.
How to call this API
Every protected route returns HTTP 402 with x402 payment requirements. An agent pays the stated USDC amount on Base and retries with the payment header. No API keys, no accounts. Browse the marketplace or list your own API.
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