Evidence row 2201213

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://security-math.x402tookit.com/bloom-filter"
    ]
  ],
  "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": "Bloom filter sizing: bits, bytes and hash count for n items at a false-positive rate, or the rate for a given size.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "n": 1000000,
              "p": 0.01
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T14:38:12.749Z",
              "bitsPerItem": 9.585,
              "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.",
              "falsePositiveRate": 0.010039214559253868,
              "fillRatio": 0.518237,
              "human": "1.14 MiB",
              "items": 1000000,
              "kUsed": 7,
              "mBits": 9585059,
              "mBytes": 1198133,
              "notChecked": [
                "real hash functions: the formula assumes k independent uniform hashes (double hashing gets very close)",
                "counting, scalable or cuckoo variants",
                "…1 more"
              ],
              "optimalK": 7,
              "reasons": [
                "m = -n ln p / (ln 2)^2 and optimal k = (m/n) ln 2; the false-positive rate is (1 - e^(-kn/m))^k.",
                "A Bloom filter never gives a false negative; it gives false positives at about the stated rate once it holds n items."
              ],
              "source": "computed locally (Bloom 1970 formulas)",
              "summary": "For 1,000,000 items at 0.01: 9,585,059 bits (1.14 MiB), 7 hash functions, false-positive rate 1.004e-2, 9.59 bits per item.",
              "targetFalsePositiveRate": 0.01,
              "verdict": "SIZED"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "k": {
                      "description": "Hash function count to evaluate (default: the optimum)",
                      "type": "integer"
                    },
                    "mBits": {
                      "description": "Or the filter size in bits to evaluate",
                      "type": "number"
                    },
                    "n": {
                      "description": "Number of items to store, 1 to 1e12",
                      "type": "number"
                    },
                    "p": {
                      "description": "Target false-positive probability, e.g. 0.01 (give p or mBits)",
                      "type": "number"
                    }
                  },
                  "required": [
                    "n"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "bitsPerItem": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "falsePositiveRate": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "fillRatio": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "human": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "items": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "kUsed": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "mBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "mBytes": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "optimalK": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "targetFalsePositiveRate": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:08:15.165Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 1,
      "lastCalledAt": "2026-11-02T04:08:14.965Z"
    },
    "resource": "https://security-math.x402tookit.com/bloom-filter",
    "serviceName": "Security Math",
    "tags": [
      "bloom-filter",
      "probabilistic",
      "data-structures",
      "false-positive"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Bloom filter sizing: bits, bytes and hash count for n items at a false-positive rate, or the rate for a given size."
}

What the leaf hashes

{"body":"e841ffbdca945bbe320c99ad934030cc453a9bdd1e59ebb5d0f59aa613d6e1ca","id":2201213,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646801296089,"prev":null,"subject":"x402_bazaar:https://security-math.x402tookit.com/bloom-filter","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. 0x01eac7a7aadbac127f9ec08bbba25609b6d68bd6b548b7b71217ff945a23c80f
2. 0xc24ea8890ab5815b22f45ae9af81c3ba753bb34fb1ee5964ed722ad169f0fbf0
3. 0x2cc1ad7f0e11b9b26fc44fbbd234ae6844b2cedda25c60269910dca6649d1ef6
4. 0xc4543ea03ab05349a2a5678f98880b2828bdd18e74977c5b3fa1f60b6ec6c19f
5. 0xee68c30b018c654f1ba5daf521df5d7a309e6834823b495e58b8ffebaa9e0311
6. 0xe75e28f3acba42b7979f27f7b88c29bf5057d761a43595fa274b730e7507cc47
7. 0xf78e01bb53ab5324ac61dd637699163267462894a4b2abc2de101a39d75ff16c
8. 0x35ade636565252e9c95e6ffa2b295c57bc9ff8df214b80b28f743b2582f65fef
9. 0xf8af708d8b466360b437f5c39c1e277c08c36355708dbebcb04bdb7152fcec31
10. 0x3204a7768f9126572bf43e9c5afa2210a09d4eb04d184eb71f448cc55e01b06e
11. 0x06176a1984ad07b5bed809f9917145c50e37d26626abe1f82716ffa19eb6b66c
12. 0x0154d753e5f594e54f1ab6d5100a317d12face9f45bc53b289185639f13d17d9
13. 0x9ccfa562467b683727533a101c56f2ec1b15d392976c5a1d03db8b6563b90233
14. 0x9acdcc385ecc9f1094faf2e01677d863638d23bede5aed4ca22def76698e0af3
15. 0x150a4dbcf309a6bb857da0b59f7588bd57a20fca094e579bf41d6cc6df9c7bff
16. 0x7cb861d18f06406535ade133f716d897f27d257cf0121f99d94c78c713c4b54d
17. 0x53a741b69e9e51c4a288a74712aa6ac3fb28c8923cd3e6461d161c4f2d48b31a
18. 0x050f2978b537f7afb21ee1551577cdf146d1c56f4df12d24315ae5e69366b0a4
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af