Evidence row 2201579

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://math-stats.x402tookit.com/gcd-lcm"
    ]
  ],
  "name": "Math and Statistics",
  "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": "Greatest common divisor, least common multiple, Bezout coefficients and modular inverse for integers of any size.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "numbers": "48,18"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T06:26:06.857Z",
              "bezout": {
                "identity": "48 x -1 + 18 x 3 = 6",
                "x": "-1",
                "y": "3"
              },
              "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": "6",
              "lcm": "144",
              "notChecked": [
                "negative-number conventions (results use absolute values for gcd and lcm)",
                "numbers beyond 60 digits"
              ],
              "numbers": [
                "48",
                "18"
              ],
              "pairwiseCoprime": false,
              "reasons": [
                "Euclid's algorithm on exact big integers."
              ],
              "source": "computed locally",
              "summary": "gcd 6, lcm 144; Bezout 48 x -1 + 18 x 3 = 6.",
              "verdict": "COMMON_FACTOR"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "modulus": {
                      "description": "Optional modulus m to find the modular inverse of the first number",
                      "type": "string"
                    },
                    "numbers": {
                      "description": "2 to 20 integers separated by commas or spaces",
                      "type": "string"
                    }
                  },
                  "required": [
                    "numbers"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "bezout": {
                      "properties": {
                        "identity": {
                          "type": [
                            "null",
                            "string"
                          ]
                        },
                        "x": {
                          "type": [
                            "null",
                            "string"
                          ]
                        },
                        "y": {
                          "type": [
                            "null",
                            "string"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "gcd": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "lcm": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "numbers": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pairwiseCoprime": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "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": "2026-11-01T23:38:02.989Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T23:38:02.826Z"
    },
    "resource": "https://math-stats.x402tookit.com/gcd-lcm",
    "serviceName": "Math and Statistics",
    "tags": [
      "number-theory",
      "gcd",
      "lcm",
      "modular-inverse"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Greatest common divisor, least common multiple, Bezout coefficients and modular inverse for integers of any size."
}

What the leaf hashes

{"body":"c8a25b1df4fad6ca3be3860213fccb43b562d3e84741e4b099e4ddec17969a36","id":2201579,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806759709,"prev":null,"subject":"x402_bazaar:https://math-stats.x402tookit.com/gcd-lcm","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. 0xea2ea19bb0248759fed48eda873b807d2308813a29861fdc06a9b17f00185d81
2. 0xc875d37fb17e74bd6e4ea57ad8f02da1b1c144ea8e2767eb49a09596da54439a
3. 0xe67b8e18536a7691644abc4f66237df14f7597af7cc564ce2622b3e130241c5b
4. 0x0ddbb59dbe73f4223c59cfcb124235e17326cddbb6ab8c1b891aaab00c87cf1a
5. 0xbe8b7d902b7980dbcb9f06348858a8c1a6537f83c698329c9973c204e9a90a00
6. 0xab04293a1ba41e190b07cf37eebc7dbb499bca8aff190d7ebc2b0c10d2d4c733
7. 0xa17217d2b52c138461983df5d9d7bee91dff7d6b7b13a1ffb4f627aed157ee73
8. 0x0213e3609274830044d8aa83d51bd4984224a98d77401a18c8bc9e59f7c1ebc8
9. 0x6d0388ca04b6b79bba2b74b26d7f9a2c3413b3c16c18cc0c9d4e7b95c6133b2e
10. 0xaad27b199dd274763dcffe423e31b695457e20e4552077a5e0f5ec78be427a86
11. 0x97d3b879e7417eb179c7a3ec269f5151d3e1568f9f8fedf3bd1a98fcb0ffdb9c
12. 0xc179417f8ae1f11ae3d161c9b0dfda8c85fd1a0287b9cd9a92883e24030e37b5
13. 0xe61415e30eff3f78f72f491cf1aa4fddf56b5fa4aab16d517b5f3bb9587740ef
14. 0xf02baa2f8f9b385919b2f698b2e9351b84bd44118a8d5a72f2d1303df2c329b4
15. 0xd643f764eee39146411d4bff8903a327f4f8f55616e14e57281a245206d6ed2b
16. 0x6dd7e4db65395e8670c7c2747d44fec79e03305934ef4746bf5dbca04ec6ec49
17. 0xec5d643575d83c9e07e65deeef71943b53cbf3007e7e2b9a6ef414081509b0cc
18. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af