addrbookFor publishers
← The evidence ledger

Evidence row 2201249

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://stats-tests.x402tookit.com/binomial-test
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
1cbd6966f4bec8145d0cc2f1ed24914052c59d5685626503d17a198cffbc3a8b
Leaf
0x75fdedb630e09d3add55f416186d1af07881677a6c4147a4ec6d878b2c9940ae

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://stats-tests.x402tookit.com/binomial-test"
    ]
  ],
  "name": "Statistical Tests",
  "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": "Exact binomial test of k successes in n trials vs a hypothesised probability, with p-values and the Clopper-Pearson CI.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "p0": 0.5,
              "successes": 8,
              "trials": 10
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T08:55:55.001Z",
              "clopperPearson": {
                "level": 0.95,
                "lower": 0.44390454,
                "upper": 0.97478927
              },
              "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.",
              "hypothesisedProbability": 0.5,
              "notChecked": [
                "independence of trials and a constant success probability",
                "choice of one-sided versus two-sided test (decide before looking)",
                "…1 more"
              ],
              "pValueGreater": 0.0546875,
              "pValueLess": 0.98925781,
              "pValueTwoSided": 0.109375,
              "reasons": [
                "Exact binomial probabilities: valid for any sample size.",
                "One-sided: P(X >= 8) = 0.05469, P(X <= 8) = 0.9893."
              ],
              "sampleProportion": 0.8,
              "significantAt5pct": false,
              "source": "computed locally",
              "successes": 8,
              "summary": "8 of 10 (80%) vs p0 = 0.5: two-sided exact p = 0.1094; 95% Clopper-Pearson CI 0.4439 to 0.9748.",
              "trials": 10,
              "verdict": "NOT_SIGNIFICANT"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "confidence": {
                      "description": "Interval level 0.8 to 0.999 (default 0.95)",
                      "type": "number"
                    },
                    "p0": {
                      "description": "Hypothesised success probability (default 0.5)",
                      "type": "number"
                    },
                    "successes": {
                      "description": "Number of successes k",
                      "type": "integer"
                    },
                    "trials": {
                      "description": "Number of trials n",
                      "type": "integer"
                    }
                  },
                  "required": [
                    "successes",
                    "trials"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "clopperPearson": {
                      "properties": {
                        "level": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "lower": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "upper": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "hypothesisedProbability": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pValueGreater": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "pValueLess": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "pValueTwoSided": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "sampleProportion": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "significantAt5pct": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "successes": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "trials": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:07:23.576Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-02T04:07:23.318Z"
    },
    "resource": "https://stats-tests.x402tookit.com/binomial-test",
    "serviceName": "Statistical Tests",
    "tags": [
      "statistics",
      "binomial-test",
      "hypothesis-test",
      "proportion"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Exact binomial test of k successes in n trials vs a hypothesised probability, with p-values and the Clopper-Pearson CI."
}

What the leaf hashes

{"body":"1cbd6966f4bec8145d0cc2f1ed24914052c59d5685626503d17a198cffbc3a8b","id":2201249,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646803042184,"prev":null,"subject":"x402_bazaar:https://stats-tests.x402tookit.com/binomial-test","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. 0x75fddd218f0114df029c12e74bccf1995bd0680a803576981a61d376adf3e221
  2. 0x880b68e6fe3255aee55850469a6fc8d6f39feedae7f6ac6db3a07c40e9c15935
  3. 0x23820493049292da3cc4373bc5d8b4a2c5c3a7dd1e13df4f3ab2ac84f81190d4
  4. 0x649a3b57ee2e2dd3859cc51c7c36fbe730e2d15086e2fd5bbb489bb144a09819
  5. 0xd916a88406c5352aa0302148170cd27d3a535670b66fe2e949cf1a94ad1c828c
  6. 0x76c00eb0e5d839940c99ca488cb2c1aff45897ec3cf9b89ab4d2ad455ab815c9
  7. 0x56d38c074233419c4cc40d9eba37b87624af0ab8f0b93d7f23d705644528b01e
  8. 0x1e189acea3d4a6d1bd6f00cc96847ebeeedb9437b37b8be3488f88c25b7728a4
  9. 0x933f8157c6df05996567737d8ed148bceb4ba198514344d8c0f92752ba41ae95
  10. 0xf855990c5e4f5e7c67ed801bf4005f31f1f4d8347b6026321728781d726fa5c0
  11. 0xed7bc197e3566b4c4fb4badde968404c3bac524f38fd192980d982bae80b06d7
  12. 0xe9747ccde895d2aba14067132d86b41625938fce0a85a8efad50b5f89104f4b2
  13. 0x98c0b976487311f03693fca7825f5f6e75a71ea33ac90caf33040d5eaa6d0b54
  14. 0xe387a7d610f91d4dc112f2dbdf7ae32c4555f5da4c25c1a9a1310d0b74e80bbf
  15. 0x60dd7fd8117cbf3b80707f722623736c8c2b5b56277e8e78c9f81ef2dab8deab
  16. 0x3b89dd05634a82075204d3c671f613081ddfd9df739c64c0a8f39081bdfa32c7
  17. 0x1805ef693fbdb2c23fcb61616f830408ca89bec1dc5b68ee47a770ffc0b9760a
  18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
  19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e
Day root
0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
Chained
0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
Published
On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af

How to check it · This row as JSON