Evidence row 2202028

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://crypto-math.x402tookit.com/entropy"
    ]
  ],
  "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": "Shannon entropy in bits per symbol from a frequency table, plus min-entropy, collision entropy and efficiency.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "table": "a:4,b:2,c:1,d:1"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T23:46:28.507Z",
              "collisionEntropyBits": 1.540568381,
              "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.",
              "efficiency": 0.875,
              "entropyBitsPerSymbol": 1.75,
              "maxEntropyBits": 2,
              "minEntropyBits": 1,
              "notChecked": [
                "that the table reflects the real source: entropy of a sample is not the entropy of how a secret was chosen",
                "dependence between symbols (this is zeroth-order, memoryless entropy)",
                "…1 more"
              ],
              "perfectBitsToEncodeOneSymbol": 1.75,
              "reasons": [
                "H = -sum p*log2(p) over symbols with non-zero probability; counts are normalised to probabilities.",
                "An optimal symbol code averages between H and H + 1 bits per symbol (Shannon source coding theorem)."
              ],
              "redundancyBits": 0.25,
              "sampleSize": 8,
              "source": "Shannon (1948) entropy H = -sum p log2 p, computed locally",
              "summary": "Shannon entropy 1.75 bits per symbol over 4 symbol(s) (maximum 2).",
              "symbols": 4,
              "symbolsWithZeroCount": 0,
              "totalInformationBits": 14,
              "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": {
                    "table": {
                      "description": "Comma-separated counts or probabilities, optionally label:count, e.g. a:5,b:3,c:2 or 0.5,0.25,0.25 (1 to 1000 symbols)",
                      "type": "string"
                    }
                  },
                  "required": [
                    "table"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "collisionEntropyBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "efficiency": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "entropyBitsPerSymbol": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "maxEntropyBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "minEntropyBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "perfectBitsToEncodeOneSymbol": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "redundancyBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "sampleSize": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "symbols": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "symbolsWithZeroCount": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "totalInformationBits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:46:12.307Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:46:12.131Z"
    },
    "resource": "https://crypto-math.x402tookit.com/entropy",
    "serviceName": "Crypto Math",
    "tags": [
      "entropy",
      "shannon",
      "information-theory",
      "frequency"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Shannon entropy in bits per symbol from a frequency table, plus min-entropy, collision entropy and efficiency."
}

What the leaf hashes

{"body":"1c79ab93a606db5a32a226ba156cf5b5bc3c13579fcfb161b677b1749dc3bff2","id":2202028,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811409934,"prev":null,"subject":"x402_bazaar:https://crypto-math.x402tookit.com/entropy","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. 0xe84614131e6d2488490b76cd8686815e91dbb9761cc30fd59c47668778017b59
2. 0xd4602f6336ee7e3b6e06d1b2caee6664f2a9bfca702105acde677921ccb1fa1b
3. 0x8ec4a3f412ddfab2d2638ddc49368e530c482b2a771b62ec2353b5c49ec1f895
4. 0x68fccb9bea3e6f04d3026eeb615cdd008a7c2fd907d4c79af6a747b7d366f513
5. 0x4f3e2350f6c7c11e06cc8f5d4b9c2edb8000bddf6e9924e1f4396458520c0e63
6. 0x46d8e1af3bf20aaa74b0db62aca0fff322e93027c9a8672a3d612b0eb396b276
7. 0x06c772c954f089b262fb958f9fcb84f5e582960cfdd118eafd008e790c050619
8. 0xd6cab57a660dde0d8c3599172a57971b78dcabdff7a98ae50168be4d7b3ceb53
9. 0x37260c0df9efb143e0b22ca0c8ba0f42aa041d3994357df63d25093dfd282638
10. 0x069079eecd417dc7260a2829088c970ddf1db3afda4800d4be021fd33dea64f3
11. 0x539b790d68c0b6a309b522634b35f80bf5a78c4a6477a411e00939a1c31f6a60
12. 0x841ad4eaef71169e03e95d2082a5c83db1b3a56a9753b17df04fe34aa579b749
13. 0x0418958fa118b0a6a70d8e336a1073213853f5a3502b9ffc66202cc82d3dd472
14. 0xf02baa2f8f9b385919b2f698b2e9351b84bd44118a8d5a72f2d1303df2c329b4
15. 0xd643f764eee39146411d4bff8903a327f4f8f55616e14e57281a245206d6ed2b
16. 0x6dd7e4db65395e8670c7c2747d44fec79e03305934ef4746bf5dbca04ec6ec49
17. 0xec5d643575d83c9e07e65deeef71943b53cbf3007e7e2b9a6ef414081509b0cc
18. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af