Evidence row 72548

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://combinatorics.openverbs.com/v1/multinomial"
    ]
  ],
  "name": "Multinomial coefficient",
  "owner_address": "0xb3f4de103f34b99f0da19b4f16d6b53a14c2194a",
  "raw": {
    "accepts": [
      {
        "amount": "4000",
        "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:8453",
        "payTo": "0xb3f4de103F34b99f0Da19B4F16D6B53a14C2194A",
        "scheme": "exact"
      }
    ],
    "description": "Multinomial coefficient (k1+k2+…)! / (k1! k2! …) — the number of ways to partition n = Σki items into labelled groups of the given sizes. The sum must be ≤ 20000.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "body": {
              "groups": [
                "42"
              ]
            },
            "bodyType": "json",
            "method": "POST",
            "type": "http"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "body": {
                  "additionalProperties": false,
                  "properties": {
                    "groups": {
                      "description": "Group sizes as decimal strings; their sum must be ≤ 20000.",
                      "items": {
                        "pattern": "^\\d+$",
                        "type": "string"
                      },
                      "maxItems": 256,
                      "minItems": 1,
                      "type": "array"
                    }
                  },
                  "required": [
                    "groups"
                  ],
                  "type": "object"
                },
                "bodyType": {
                  "enum": [
                    "json",
                    "form-data",
                    "text"
                  ],
                  "type": "string"
                },
                "method": {
                  "enum": [
                    "POST"
                  ],
                  "type": "string"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method",
                "bodyType",
                "body"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-10-02T01:47:36.027Z",
    "quality": {
      "l30DaysTotalCalls": 1,
      "l30DaysUniquePayers": 1,
      "lastCalledAt": "2026-10-02T01:47:35.842Z"
    },
    "resource": "https://combinatorics.openverbs.com/v1/multinomial",
    "serviceName": "Multinomial coefficient",
    "tags": [
      "multinomial coefficient",
      "compute multinomial",
      "partition items into groups",
      "labelled group count",
      "multinomial api"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Multinomial coefficient (k1+k2+…)! / (k1! k2! …) — the number of ways to partition n = Σki items into labelled groups of the given sizes. The sum must be ≤ 20000."
}

What the leaf hashes

{"body":"369e3c106f2d2a6992cd97ea2fb0e9a7efe368b5e43f45aa64bef2574606854b","id":72548,"kind":"listing","method":"baseline/1","observed_us":1793025486198910,"prev":null,"subject":"x402_bazaar:https://combinatorics.openverbs.com/v1/multinomial","subject_kind":"source_record"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of 2026-10-26 (296695 rows).

1. 0xd74dd293990888b79bdd24d58acd1e4528706bce7b322e6be9f1ef8fa5abc85d
2. 0xe33d0a25172b140bf8adae3c3c8e3e781a99aef8b9e5354a9dc4f8640302fcbf
3. 0x629a65bc21bb52909f25d4e31a9e67f5d1aaa70dd7be4dfcbf9ca1d009d51b67
4. 0x3489d74e85259b3e2f9e4595c1b8cee5c1880ba03eb00b6106cf43375675b668
5. 0x74fc596493b3ef69c807acd559998d6bd34200de2972b1a9233c8f507ef0526d
6. 0xe418edc7421c2af24271c517bb045c8a8a605d6dd6aeef9c004a2bc01c6f8109
7. 0x54646381fa42bf727ea0d5704d6d04b2342ca9a08bd05a565b9f1faf0d04fd0f
8. 0x6ca6a66e13750baafafbaa0b6ce80ba9a3d5167b760bf86008b59ddec5b57c53
9. 0x75beaad71cc1904f1f354f3e6f4ca39a7967119a36f829273a3f6eb5282b19e9
10. 0x4c6a4d003a4c8e394c82c8f16a5c6669cfbbac391218d8be2c13f5d5aa94e7a7
11. 0x681ef979e2591e4ee00c2230855c75508aa926b1abc5e4e5e6a9348a15261045
12. 0x39d84ffb833c94bfff15760ea7da987f5303e407884de386d5a33b2328c7d785
13. 0x3199db04c2c73c3483386a86bf503eafde5af103465608156e2e5f42e72a6fbe
14. 0x6b927d53caa5125cdba9255612d524976c691f8672796c3f0885ba2c5b3af1ad
15. 0x6dc40f983a3840a0ad927a9ca17f4ff1e3b649a6c735e2a09b140db7c2caf13b
16. 0x703f95866af09c5e5d6ead7411e9a10f964a41a2aff64d4a55ff0053c023a023
17. 0xd0651cb9bc8155eb52b5247d506e74b8a935057dc190ba52091702ac25ed3a40
18. 0x9a9024edb5069d88a324facb310a5ce8e495214bbaa968f077bede437390194f
19. 0x9b9ce5b74b9bab5121612ef6b64920a8d453cbf311096a423eef9702747e868a

Day root

0xf43e8dcc3d451a4788b26be904c55e8c4c0fa75c9666796c51db38d37e2c0df8

Chained

0x702d5ac508f08b0d1accf36af25822d8e5660367494edd17a642fb61e158a57a

Published

On Arc Testnet, block 69251483: 0x495162f8936e19f0039918feebe6c307f327cd6bf8c37219620b1970041fa9ae