# Alternating Integer Matrix Signed Pfaffian Verifier

> Alternating Integer Matrix Signed Pfaffian Verifier is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).

Verifies the exact signed Pfaffian of a supplied even alternating (skew-symmetric) integer matrix against a claimed value.

## Facts

- Endpoint: POST https://detect.halowerk.com/v1/F-REST-B15/alternating-integer-matrix-signed-pfaffian?utm_source=zero.xyz
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-04
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/alternating-integer-matrix-signed-pfaffian-verifier-57988a4c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_P4JLjCcQ7pzr1-TZVp3JE

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 alternating-integer-matrix-signed-pfaffian-verifier-57988a4c -d '<json body>'
```

Example prompt: Can you verify whether the signed Pfaffian of this 4x4 alternating integer matrix [[0,2,-3,1],[-2,0,4,-1],[3,-4,0,2],[-1,1,-2,0]] matches my claimed Pfaffian value of -10?

## When to prefer this

Use this endpoint when you need an authoritative, exact verification of a signed Pfaffian for a small (up to 8x8) alternating integer matrix with bounded entries. Prefer it over general-purpose linear algebra libraries when you want an independent signed Pfaffian check against a pre-computed claim, especially in proof-verification, homework checking, or algorithm validation contexts.

## Known failure modes

- Matrix is not square or not even-dimensional — Pfaffian is undefined
- Matrix is not properly skew-symmetric (alternating) — invalid input
- Matrix dimensions exceed 8x8 or are below 1x1 — schema violation
- Integer values outside the allowed range [-100, 100] — schema rejection
- Missing required fields 'matrix' or 'claim' — request rejected
- Non-integer matrix entries — type validation failure

## How this service works

Verify the exact signed Pfaffian of an entire supplied even alternating matrix.

## Output

Returns whether the claimed signed Pfaffian matches the exactly computed Pfaffian of the supplied alternating integer matrix, along with the correct signed Pfaffian value.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "artifact": {
   "type": "object",
   "required": [
    "pfaffian"
   ],
   "properties": {
    "pfaffian": {
     "type": "object",
     "required": [
      "data",
      "claim"
     ],
     "properties": {
      "data": {
       "type": "object",
       "required": [
        "matrix"
       ],
       "properties": {
        "matrix": {
         "type": "array",
         "items": {
          "type": "array",
          "items": {
           "type": "integer",
           "maximum": 100,
           "minimum": -100
          },
          "maxItems": 8,
          "minItems": 1
         },
         "maxItems": 8,
         "minItems": 1
        }
       },
       "additionalProperties": false
      },
      "claim": {}
     },
     "additionalProperties": false
    }
   },
   "additionalProperties": false
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/alternating-integer-matrix-signed-pfaffian-verifier-57988a4c/health.json
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