Evidence row 2201180

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://time-series-calc.x402tookit.com/autocorrelation"
    ]
  ],
  "name": "Time Series 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": "Sample autocorrelation (ACF) and partial autocorrelation (PACF, Durbin-Levinson) of a series up to lag k, with 95% bounds.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "maxLag": 2,
              "values": "1,2,3,4,5"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "acf": [
                1,
                0.4
              ],
              "acfLagsOutsideBound": [],
              "asOf": "2026-10-21T06:18:21.903Z",
              "confidenceBound95": 0.876539,
              "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.",
              "maxLag": 2,
              "n": 5,
              "notChecked": [
                "stationarity (trend or seasonality inflate the ACF)",
                "a formal test such as Ljung-Box",
                "…1 more"
              ],
              "pacf": [
                0.4,
                -0.30952381
              ],
              "pacfLagsOutsideBound": [],
              "pacfNote": "pacf[0] is lag 1",
              "reasons": [
                "ACF r_k = sum (x_t - mean)(x_(t-k) - mean) / sum (x_t - mean)^2 (the standard biased estimator, ensures a valid PACF).",
                "Approximate 95% bounds +/-1.96/sqrt(n) apply to a white-noise series.",
                "…1 more"
              ],
              "source": "computed locally (Box-Jenkins sample ACF; Durbin-Levinson recursion)",
              "summary": "ACF/PACF to lag 2 for 5 values: lag-1 autocorrelation 0.4; 0 ACF lags outside +/-0.877.",
              "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": {
                    "maxLag": {
                      "description": "Largest lag in observations (default min(10, n-1); at most n-1 and 100)",
                      "type": "integer"
                    },
                    "values": {
                      "description": "Comma-separated numbers in time order, oldest first (3 to 500), any one unit",
                      "type": "string"
                    }
                  },
                  "required": [
                    "values"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "acf": {
                      "items": {
                        "type": "number"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "acfLagsOutsideBound": {
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "confidenceBound95": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "maxLag": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "n": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pacf": {
                      "items": {
                        "type": "number"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pacfLagsOutsideBound": {
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pacfNote": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:09:38.306Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-02T04:09:38.034Z"
    },
    "resource": "https://time-series-calc.x402tookit.com/autocorrelation",
    "serviceName": "Time Series Calculators",
    "tags": [
      "autocorrelation",
      "acf",
      "pacf",
      "time-series"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Sample autocorrelation (ACF) and partial autocorrelation (PACF, Durbin-Levinson) of a series up to lag k, with 95% bounds."
}

What the leaf hashes

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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. 0xaf8a9e08a75aea06159df250e118b83e6702c4c26aeb1bca84889078c5ce584b
2. 0x35424adbcd2f6c7e097d6839231ad2311fc174f91f7c7bed9846cce43543166a
3. 0xd15584a0463876ade6f44b1394f241a2a3e92ab317eba713c31fe773e8becd3e
4. 0x876bb57f7eb91dca743e7c2b3c9559c563d197558f23ac4521ef7d2c67a8ddbb
5. 0x2b44613f80bc40a2d8da97b459bf6e3925aa3c8e84ffc101912c08c2954afb1a
6. 0x678ec0eb199ad489dbf0ff467720f4e7e66d1682d75b0c70aa1afeb9af44bbed
7. 0xf5ba92698af0a2813d5554a45a28ac8e9e198c925ec34ad98ac6d16e96f76da0
8. 0xd7d21d2f4aa8222c8ca78ed7807b6febbf513fc2322c267f010b9a53f6410dd2
9. 0xc1b21e77acbeae997af3f901c1c0f1820eb372993b8536f42ed688ca802779c3
10. 0xcc1e2be1b07d2749797c343fd80ed2ed97dee2ce056d01083e1500fb1d0b4c53
11. 0x3afbe32e2dba45a7b2035f3a2323a5d5f2cd1fcf4a91cbbe61f4e64d0914885d
12. 0x019dcf9ef14ccef70a9013eb1e525d28ee135665e1f6a7649fa663cb42a31a57
13. 0x026aca682cb5dc6926296949fd7c047905eb55f048c3a7c3bfbbb67e9d07fee8
14. 0x2f8469a138f90dfcfc93d4f817bc8f20341a871e08f629fe27a2cd40dbfeb340
15. 0x793184605629cd36ba80a07cbe115ca35e8923297bf024260c6f5c06b255f638
16. 0x2922573a524a0694086782ac45fa3083d3fc3f6a2a479b2105e1e2f06b2916f7
17. 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
18. 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
19. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af