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Evidence row 2201239

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://probability-calc.x402tookit.com/bayes
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
bb460f512286dbbab12dbdef777a5f1fd0e62ff989382725c6c59162213db2f4
Leaf
0x977a73372b2481033dbe848624c817e2d662e69e15348a5499997a7d8d6d459a

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://probability-calc.x402tookit.com/bayes"
    ]
  ],
  "name": "Probability Calculators",
  "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": "Bayes' theorem: posterior probability from a prior, sensitivity and false-positive rate, with natural frequencies and odds form.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "falsePositiveRate": 0.096,
              "prior": 0.01,
              "sensitivity": 0.8
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T14:44:16.580Z",
              "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.",
              "falseAlarmShareOfPositives": 0.922360248447205,
              "falsePositiveRate": 0.096,
              "likelihoodRatioPositive": 8.333333333333334,
              "naturalFrequencies": {
                "falseNegatives": 20,
                "falsePositives": 950,
                "haveHypothesis": 100,
                "population": 10000,
                "trueNegatives": 8950,
                "truePositives": 80
              },
              "notChecked": [
                "whether the rates apply to the person or case in question (they are population averages)",
                "repeated or dependent tests (the formula assumes one independent piece of evidence)",
                "…1 more"
              ],
              "posteriorGivenNegative": 0.002229753835176596,
              "posteriorGivenPositive": 0.07763975155279504,
              "posteriorOdds": 0.08417508417508418,
              "prior": 0.01,
              "priorOdds": 0.010101010101010102,
              "probabilityOfPositive": 0.10304,
              "reasons": [
                "P(H | positive) = P(+|H) P(H) / [P(+|H) P(H) + P(+|not H) P(not H)].",
                "A low base rate means most positives are false positives, even with a good test (base-rate fallacy).",
                "…1 more"
              ],
              "sensitivity": 0.8,
              "source": "computed locally (Bayes' theorem)",
              "specificity": 0.904,
              "summary": "Prior 1.000%, sensitivity 80.0%, false-positive rate 9.60%: a positive result means a 7.76% chance the hypothesis is true.",
              "verdict": "STRONG_UPDATE"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "falsePositiveRate": {
                      "description": "P(positive evidence | hypothesis false), 0 to 1 (give this or specificity)",
                      "type": "number"
                    },
                    "population": {
                      "description": "Population for natural frequencies (default 10000)",
                      "type": "integer"
                    },
                    "prior": {
                      "description": "Prior probability of the hypothesis (prevalence or base rate), 0 to 1",
                      "type": "number"
                    },
                    "sensitivity": {
                      "description": "P(positive evidence | hypothesis true), 0 to 1 (true positive rate)",
                      "type": "number"
                    },
                    "specificity": {
                      "description": "Or P(negative evidence | hypothesis false); false positive rate = 1 - specificity",
                      "type": "number"
                    }
                  },
                  "required": [
                    "prior",
                    "sensitivity"
                  ],
                  "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"
                      ]
                    },
                    "falseAlarmShareOfPositives": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "falsePositiveRate": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "likelihoodRatioPositive": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "naturalFrequencies": {
                      "properties": {
                        "falseNegatives": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "falsePositives": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "haveHypothesis": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "population": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "trueNegatives": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "truePositives": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "posteriorGivenNegative": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "posteriorGivenPositive": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "posteriorOdds": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "prior": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "priorOdds": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "probabilityOfPositive": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "sensitivity": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "specificity": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:07:39.044Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 1,
      "lastCalledAt": "2026-11-02T04:07:38.807Z"
    },
    "resource": "https://probability-calc.x402tookit.com/bayes",
    "serviceName": "Probability Calculators",
    "tags": [
      "bayes",
      "conditional-probability",
      "test-accuracy",
      "posterior"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Bayes' theorem: posterior probability from a prior, sensitivity and false-positive rate, with natural frequencies and odds form."
}

What the leaf hashes

{"body":"bb460f512286dbbab12dbdef777a5f1fd0e62ff989382725c6c59162213db2f4","id":2201239,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646802985828,"prev":null,"subject":"x402_bazaar:https://probability-calc.x402tookit.com/bayes","subject_kind":"source_record"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (444186 rows).

  1. 0x977b11e2d65b514ccbeb2133cd5e28c95d5c03af8831c2279ad6444f85655093
  2. 0x6091667a37a1b2d31fcc8ea6bae99e84fefeda4b4c357e82cde43666b5262071
  3. 0xdd7799f730a61ef2df5e27ac0efa88c6dc256fc7cd543937f3f76ca028768605
  4. 0x96bbdcebbafa2ef369a89f1f70d18eeb5216dfd749f9eb027640b4cdca207094
  5. 0xcfa18181ccf39b4ec451addf14bd0c9cfaa77a134c4ef6d72208b3b41bc6b229
  6. 0x0fcf51c1465873246cafdfbf2f8304c67a6e1c5eac45fac9e5c1eec49f661893
  7. 0x78f5b9f8f2ab376eb268276ea17ea7c707a39bb481bfd15364567aecb408eb3b
  8. 0x746229fa899ae80f0bd9081bec79bcea6f80ccd8b78a03c8eca8515597cbd133
  9. 0x68f23117184aee82ebd820cd96a5dc6274f8299e75b0fddf2c18b61d96d0210c
  10. 0xea7325c2b7eafe81a84fcd10a3312383cfad4cfb4cf9a638866e4ce768f6375b
  11. 0x962146faef816638fd3d22248461b5a38069af335a4949c571e21c2f49655125
  12. 0xb4746c9c6a01a5463121fb30690562293e068b5358ab464ea070f4414595db5f
  13. 0x161ab8dfe29d5443837514b3760b34879b8201d43912571c314e4142639b07a3
  14. 0xc5de092f33d9a5a2d3076d47423feb11b0630cdc080163babf6390bb04568ce5
  15. 0x9c91ecb84461aa4cb2a891252746755d862a88fe9bad822700cdb99eaab2edca
  16. 0x7731256c7406f95d30aabe3bbcb574b72535b9c28e8eb3db363210761a28a6b9
  17. 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
  18. 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
  19. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
Day root
0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
Chained
0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
Published
On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af

How to check it · This row as JSON