Evidence row 2201214

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://security-math.x402tookit.com/birthday-collision"
    ]
  ],
  "name": "Security 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": "Birthday-problem collision odds for random IDs or hash outputs, or the count of items that reaches a target probability.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "bits": 32,
              "probability": 0.5
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T14:38:12.485Z",
              "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.",
              "itemsNeeded": 77164,
              "itemsNeededMethod": "exact search",
              "notChecked": [
                "non-uniform generators (a flawed or low-entropy random source collides far sooner)",
                "targeted (second-preimage) attacks, which need about the whole space rather than its square root",
                "…2 more"
              ],
              "reasons": [
                "The collision count grows with the SQUARE ROOT of the space: halving the bits does not halve the safe count, it takes its square root.",
                "Assumes every item is drawn uniformly and independently at random."
              ],
              "source": "computed locally (birthday problem)",
              "space": "32 bits",
              "spaceBits": 32,
              "summary": "0.5 collision probability is reached at 77,164 items.",
              "targetProbability": 0.5,
              "verdict": "COUNTED"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "alphabetSize": {
                      "description": "Alphabet size of a random string ID (e.g. 62 for base62, 10 for digits); with idLength",
                      "type": "integer"
                    },
                    "bits": {
                      "description": "Size of the ID or hash space in bits (e.g. 32, 64, 122 for UUIDv4, 128, 256); or use alphabetSize and idLength",
                      "type": "number"
                    },
                    "idLength": {
                      "description": "Length of the random string ID, with alphabetSize",
                      "type": "integer"
                    },
                    "items": {
                      "description": "Number of items generated: returns the collision probability",
                      "type": "number"
                    },
                    "probability": {
                      "description": "Target collision probability, 0 to 1 exclusive: returns the number of items needed",
                      "type": "number"
                    },
                    "space": {
                      "description": "Or the number of possibilities directly (e.g. 365 for days in a year)",
                      "type": "number"
                    }
                  },
                  "required": [],
                  "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"
                      ]
                    },
                    "itemsNeeded": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "itemsNeededMethod": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "space": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "spaceBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "targetProbability": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:08:14.148Z",
    "quality": {
      "l30DaysTotalCalls": 3,
      "l30DaysUniquePayers": 1,
      "lastCalledAt": "2026-11-02T04:08:13.841Z"
    },
    "resource": "https://security-math.x402tookit.com/birthday-collision",
    "serviceName": "Security Math",
    "tags": [
      "birthday-problem",
      "collision",
      "uuid",
      "hash"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Birthday-problem collision odds for random IDs or hash outputs, or the count of items that reaches a target probability."
}

What the leaf hashes

{"body":"59e43607cd1c3b7212bc2bf5fe55bbd02c4be8c80db2a265138a325d4ad562e4","id":2201214,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646801298963,"prev":null,"subject":"x402_bazaar:https://security-math.x402tookit.com/birthday-collision","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. 0xb7ce28fcb518f596b490219646586d4ea856fb90e23d076f5666f0d30526bd9e
2. 0x3b7daf61c91a602edce35db305a8edcce6d09023c0e2c6016e4470ff9ae63571
3. 0xcc736902d48c1624d5c1afb35b5a67f92a3ef7d4c5ea8a765b2029c4ee20249d
4. 0xc8281c823db5a974e6806737b50cd6e7d2c97fba688158197d85a70b3d79c0b8
5. 0xfbd2e126041deaac6fd967b7c7e1c7e7873a5e9f973fac1d44387ad9f398651e
6. 0xad0fdf3a1a35d0fa7a7f34eba2a2056cf719ebb464238f229789c90fc61ee9a7
7. 0x055cd0785f4b5198ada017bc6bcb201e9230e27caf294fd0aac3188a0f0c9908
8. 0xadbcb1e0c6b176d4c0cf19cadbeb37ebb6766e91483ee27d5c928f65ccb19897
9. 0xcf39ece8ded0f1284c49993ad9d9e8284177e4e8733f02490e4574dc71deddf1
10. 0x09525e0bd8a23e0860826fa43f1800d10d47bc613f9c8e02aa5b4969f5a056d5
11. 0x7503de792a52b6e3366d8d02c3706c7604b0a81a9dffdb9bb23c8194747fd5f0
12. 0x203a0e1fcf7f6b3c1f6e99b559fa5b97c74c6f45b35f6eb08cb8521cdde39bc5
13. 0x080572f8942a728701d6e4c74c76b04c122aa149d1dbdef56feb8ce007a745b1
14. 0xc1d961be09ff84253ce4ecf4b141b3c25631ce9eb1cc0a3197e5d83d03240ee4
15. 0x834b6b9a36b42da183e2542785e8d2d7548ace455268a81922edbe6020cef644
16. 0x2922573a524a0694086782ac45fa3083d3fc3f6a2a479b2105e1e2f06b2916f7
17. 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
18. 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
19. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af