# Macaroon Network Polymathica Validated Solver Index

> Macaroon Network Polymathica Validated Solver Index is a paid API for AI agents from api.macaroonnetwork.com, paid per call via x402, $0.005/call, status unknown (last checked 2026-09-14).

Searches a governed snapshot of validated Polymathica PDE and scientific-computing solvers, returning validation versions, bounded evidence locations, implementation modules, and provenance metadata without executing solvers fresh.

## Facts

- Endpoint: POST https://api.macaroonnetwork.com/execute/polymathica-validated-solver-index-v1
- Price: $0.005/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/macaroon-network-polymathica-validated-solver-index-8e1b35a0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_IVLU1eXGWqDiA5MoMXN2h

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability macaroon-network-polymathica-validated-solver-index-8e1b35a0 -d '<json body>'
```

Example prompt: Search the Polymathica validated solver index for PDE solvers related to Navier-Stokes methods and return their validation versions, evidence locations, and implementation module provenance.

## When to prefer this

Choose this endpoint when you need to discover, audit, or cite validated Polymathica PDE or scientific-computing solvers from a governed, reproducible snapshot — especially when provenance, validation version, and evidence traceability matter. Prefer this over live solver execution endpoints when you need stable, citable records rather than fresh computation. Use it before referencing a solver in research, auditing a pipeline's solver dependencies, or verifying that a specific implementation has passed validation.

## Known failure modes

- No matching solvers found for the given search criteria — returns empty result set
- Invalid or malformed POST body causing schema validation error
- Search query too broad or ambiguous — results may include many loosely related solvers
- Snapshot may be out of date if the governed index has not been refreshed recently
- Payment failure (x402) if USDC balance is insufficient for the $0.005 call fee

## How this service works

Search a governed snapshot of implemented, validated Polymathica PDE and scientific-computing solvers. Returns validation versions, bounded evidence locations, implementation modules and provenance without claiming a fresh solver execution.

## Output

Returns a list of matched solver records from the governed Polymathica snapshot, each including validation version, bounded evidence locations (pointers to supporting evidence within the archive), implementation module references, and full provenance metadata. Does not execute any solver computation — results reflect the indexed, validated snapshot only.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "$schema": "https://json-schema.org/draft/2020-12/schema",
 "required": [
  "input"
 ],
 "properties": {
  "input": {
   "type": "object",
   "required": [
    "type",
    "method",
    "bodyType",
    "body"
   ],
   "properties": {
    "body": {
     "type": "object"
    },
    "type": {
     "type": "string",
     "const": "http"
    },
    "method": {
     "enum": [
      "POST",
      "PUT",
      "PATCH"
     ],
     "type": "string"
    },
    "bodyType": {
     "enum": [
      "json",
      "form-data",
      "text"
     ],
     "type": "string"
    }
   },
   "additionalProperties": false
  },
  "output": {
   "type": "object",
   "required": [
    "type"
   ],
   "properties": {
    "type": {
     "type": "string"
    },
    "example": {
     "type": "object"
    }
   }
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/macaroon-network-polymathica-validated-solver-index-8e1b35a0/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.macaroonnetwork.com](https://www.zero.xyz/host/api.macaroonnetwork.com/llms.txt)