Evidence row 2202031

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://crypto-math.x402tookit.com/crt"
    ]
  ],
  "name": "Crypto Math",
  "owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
  "raw": {
    "accepts": [
      {
        "amount": "20000",
        "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:8453",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
        "extra": {
          "feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
          "transactionVersions": [
            0
          ]
        },
        "maxTimeoutSeconds": 300,
        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:137",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:42161",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      }
    ],
    "description": "Solve x = a1 (mod m1), x = a2 (mod m2), ... with the Chinese remainder theorem, coprime or not.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "congruences": "2:3,3:5,2:7"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T23:46:27.714Z",
              "degraded": false,
              "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
              "equation": "x = 23 (mod 105)",
              "equationCount": 3,
              "modulus": "105",
              "notChecked": [
                "that the moduli are pairwise coprime (they need not be; compatibility is checked instead)",
                "negative moduli (not accepted)"
              ],
              "reasons": [
                "Solved by merging the congruences one at a time with the extended Euclidean algorithm.",
                "Every integer x + k*M is also a solution; the smallest non-negative one is returned.",
                "…1 more"
              ],
              "source": "generalised Chinese remainder theorem on JavaScript BigInt, computed locally",
              "summary": "x = 23 (mod 105).",
              "verdict": "COMPUTED",
              "x": "23"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "congruences": {
                      "description": "Comma-separated residue:modulus pairs, e.g. 2:3,3:5,2:7 (2 to 12 pairs)",
                      "type": "string"
                    }
                  },
                  "required": [
                    "congruences"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "equation": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "equationCount": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "modulus": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "x": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:46:04.281Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:46:04.1Z"
    },
    "resource": "https://crypto-math.x402tookit.com/crt",
    "serviceName": "Crypto Math",
    "tags": [
      "crt",
      "chinese-remainder",
      "congruence",
      "number-theory"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Solve x = a1 (mod m1), x = a2 (mod m2), ... with the Chinese remainder theorem, coprime or not."
}

What the leaf hashes

{"body":"e15ca89244db1369450b2d5cf277b645d874d975d1b1865d542a911d5522112e","id":2202031,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811420228,"prev":null,"subject":"x402_bazaar:https://crypto-math.x402tookit.com/crt","subject_kind":"source_record"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of 2026-11-02 (444186 rows).

1. 0x89043455cb3be5396832ec6638ad3edfe5befb6e8bff8e5150b5867e2c823524
2. 0x379b9089eb9998d18102422d66a3311417ec5b43cc4e8391fa23a250dbc73f80
3. 0x5308bb06fce301d545f56a52409530bb0506d9d9771e93594423372b877467d5
4. 0xe87f3710591a2405fa7e138d1d91a0c73bad8bd329f77fb9a713a5d1139ee9e7
5. 0xeb6892eddc0b01089edbf4f7963c1d3eea415d2e4ccdd9e84fb9eb4a875cfd78
6. 0x90ec1ea76e24bce91f6f708a9dfc949345448ef88d3918c18deafd8c012df00e
7. 0x1cf2a11b9f7d10c9de231ea12e4b1ad8c791b096ad169a6abeca9016fea4274a
8. 0x5345d877e3b4e4663df85f45971cb5fd4152aecbee87473912748d0701738f3f
9. 0x495b2c3993144c4669311da49110579c9c13e3843ba59b99efa9f15bfd582d8b
10. 0x9f8c24de625a843b9608b26ec960510104b3354badd2b6ecb111ca5f53ac74c7
11. 0xe0bd4a655c1e72b28391df180f3237cb8c04c9e3e1bfa7f7fbdfed882688852f
12. 0x884765fed23b4c6070600ce8d9e11f480f0c05f4f1ec71bcb0b09151c91e3ebb
13. 0x5d871bfcf034460b25418e4174693de4c0943330f7c1beda840614a4c45cc42c
14. 0xf38c9617f655dc8f7c8fa11461cb30752d581a6bbb15051130839452c80c4270
15. 0x510fa2c647d18bb802da12cf41e17d136163e6624e69ed77e15235c4284b69c7
16. 0x5e23ec5954c11a4530aab8c635a72b12bcfeb6fcb03c6cb1a990cc1743424543
17. 0x1805ef693fbdb2c23fcb61616f830408ca89bec1dc5b68ee47a770ffc0b9760a
18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af