Evidence row 2202026

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://crypto-math.x402tookit.com/mod-inverse"
    ]
  ],
  "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": "Modular multiplicative inverse of a mod m, or the gcd that proves none exists.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "a": "17",
              "mod": "3120"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T23:46:29.024Z",
              "check": "1",
              "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.",
              "gcd": {
                "bits": 1,
                "decimal": "1",
                "hex": "0x1"
              },
              "notChecked": [
                "side channels: this is not constant-time, so never use it with a secret value",
                "whether the modulus is prime"
              ],
              "reasons": [
                "Found with the extended Euclidean algorithm: a*x + m*y = 1, so x is the inverse.",
                "Check: (a * result) mod m = 1."
              ],
              "result": {
                "bits": 12,
                "decimal": "2753",
                "hex": "0xac1"
              },
              "source": "extended Euclidean algorithm on JavaScript BigInt, computed locally",
              "summary": "The inverse of a mod m is 2753.",
              "verdict": "COMPUTED"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "a": {
                      "description": "Number to invert, whole number (decimal or 0x hex)",
                      "type": "string"
                    },
                    "mod": {
                      "description": "Modulus, whole number of at least 2",
                      "type": "string"
                    }
                  },
                  "required": [
                    "a",
                    "mod"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "check": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "gcd": {
                      "properties": {
                        "bits": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "decimal": {
                          "type": [
                            "null",
                            "string"
                          ]
                        },
                        "hex": {
                          "type": [
                            "null",
                            "string"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "result": {
                      "properties": {
                        "bits": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "decimal": {
                          "type": [
                            "null",
                            "string"
                          ]
                        },
                        "hex": {
                          "type": [
                            "null",
                            "string"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:46:18.538Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:46:18.356Z"
    },
    "resource": "https://crypto-math.x402tookit.com/mod-inverse",
    "serviceName": "Crypto Math",
    "tags": [
      "modular",
      "inverse",
      "euclid",
      "number-theory"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Modular multiplicative inverse of a mod m, or the gcd that proves none exists."
}

What the leaf hashes

{"body":"ff8bdf1fd85bfb0adb56ea13d3f5593c585b09e475569fd7d80e06b414e56198","id":2202026,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811402040,"prev":null,"subject":"x402_bazaar:https://crypto-math.x402tookit.com/mod-inverse","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. 0xa88c26c6ee1c93bf03975df6188b1cd5cdbe0dbee4e341b0659cd7af519738cb
2. 0xf70732185d2106fdd950a54b393620b23eaa0007a4e6848ea93f34dec12d111c
3. 0x75f10b6607ba55aa5e3726bc8339f4d57dc37dd09eda6ab4a50fd78ba990922b
4. 0x3f31148b6468dfe86ecbd49b2a3a6ffa809f4fa6f2cf636634e38966126a70f6
5. 0xc909217994f95304f0aa3af4094f8bf59b4b4ab491bb720dfc7c4f580f39afc8
6. 0x36c06fa20f108f69f4825a1c3a4bcf16d4e5afa4c51002294665c453c5350e1c
7. 0x2cd54d0838386d19e32ee11e007f744629b764fc2027b9aa698f711761157910
8. 0x54d5db12e5780b4732581a90384c95ab820003de3bd60de27cc9d23207965d90
9. 0xee80b2c23560ba1d00fec4c6e48ca0e42bf67cb27c3eb9d8382ac663e2feb155
10. 0x025f90a4ac610bb195520b6ec7cc71b34db4a835a8c1f2e22e530b354480cfca
11. 0xabaddc3d6a701f07a62ef798b40fe3ba319dc7441591486022f6e131f4383d96
12. 0xd092c4592746638c988be0201bef3aa0097a159b2bde204654e1174f70c7897c
13. 0xf7fc51348087e5c1e3d386772d38113ebc053fa2bb0a5e6728e5f86d0ac25db5
14. 0x7a6e52c5cebe3ec69d18cc200885d32108ba1be1b19f2da2ead8becbf3db3cb1
15. 0x7abf7290721a0b95be706db03c09de9df65bcba8e18ffe4616da43d9c31d6b0a
16. 0x7731256c7406f95d30aabe3bbcb574b72535b9c28e8eb3db363210761a28a6b9
17. 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
18. 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
19. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af