Evidence row 2201242

What was observed

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      "https://stats-tests.x402tookit.com/mann-whitney"
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  ],
  "name": "Statistical Tests",
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  "raw": {
    "accepts": [
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        "extra": {
          "name": "USD Coin",
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        "network": "eip155:8453",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
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      },
      {
        "amount": "20000",
        "asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
        "extra": {
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          "transactionVersions": [
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        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
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        "network": "eip155:137",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      },
      {
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        "extra": {
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        "network": "eip155:42161",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      }
    ],
    "description": "Mann-Whitney U test for two independent samples: U, exact p for small samples without ties or normal approximation, effect size.",
    "extensions": {
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            "queryParams": {
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              "asOf": "2026-10-11T08:55:56.056Z",
              "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.",
              "method": "exact distribution",
              "nA": 5,
              "nB": 5,
              "notChecked": [
                "assumptions: independent observations and similar distribution shapes (otherwise it tests stochastic dominance, not medians)",
                "paired data (use the paired t-test or Wilcoxon signed-rank)",
                "…1 more"
              ],
              "pValueTwoSided": 0.0079365079,
              "probabilityAExceedsB": 0,
              "rankBiserial": 1,
              "rankSumA": 15,
              "reasons": [
                "No ties and small samples: the p-value is exact.",
                "Rank-biserial correlation 1 (0 none, 1 complete separation)."
              ],
              "significantAt5pct": true,
              "source": "computed locally",
              "summary": "U = 0 (U_A = 0, U_B = 25), two-sided p = 0.007937 (exact distribution); probability a random A value exceeds a random B value: 0.",
              "ties": false,
              "uA": 0,
              "uB": 25,
              "uStatistic": 0,
              "verdict": "SIGNIFICANT"
            },
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          }
        },
        "schema": {
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                  },
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                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
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                      "type": [
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                    },
                    "pValueTwoSided": {
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                    "probabilityAExceedsB": {
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                    "rankBiserial": {
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          "type": "object"
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    },
    "lastUpdated": "2026-11-02T04:07:34.268Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-02T04:07:34.053Z"
    },
    "resource": "https://stats-tests.x402tookit.com/mann-whitney",
    "serviceName": "Statistical Tests",
    "tags": [
      "statistics",
      "mann-whitney",
      "non-parametric",
      "hypothesis-test"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Mann-Whitney U test for two independent samples: U, exact p for small samples without ties or normal approximation, effect size."
}

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. 0x5955818345ca6d8954d9c5efe08433872dc6a98a82847d4a399e1e5e0e4892c8
2. 0x4f07bc2292136d5247e2bbfad1002ceeff6e536a12575554c4df836da2b54ade
3. 0x66a071b891415d73ebadcf27b1bd5c7e365b365ff63e9d27ef9f18b1511012f2
4. 0xa5f7893a5ae7dc924ca4b3a82ff66ea481d26ccf5d00aaa2fc6a8856856a47db
5. 0x3705fe5b4446ec903c6970106ebce3a164d389be3a595719c1f3373fd39fb7ac
6. 0xf75fa3e0f559fd66a10ec8c317386ce4de007d44f28742c17fd62f4d79b487a9
7. 0xd19f9bcfa8e882cc6a0acf664702c64e442b4e2c52a1ad5b5287f19eff2caca0
8. 0x6c72904b624179801313bfda3287704e7d99a7eeb94499ee5b696c772e85c56d
9. 0x25aa85bce03e12a1ecc18ae527cfa52cdb0d5495af611e486bc1f662fe5867fe
10. 0xc11b4d7adf47fa12cbc9ace9876eb863d91f558deffc2452919ef2d63aa1aa05
11. 0xd47b32905b0c958ce87bd341f3600e18e5b326b604b8dcbb89fc074c9b7cdf29
12. 0x5f2a4b55a530a11fb70b7514490f97a224bd5a4e03f8eedea57af0e36a116efa
13. 0x4156d0c5ab6447dc36720ca7ceb2f5a0f0c5620d9192ea6d8fcf5e704e8dda41
14. 0xc73349c9955998a166e6e5920ac8ee0aa7bc6c9d66bace60f6dbd465dd9e0530
15. 0x52242d46cadab5f421a6f86c1edc6379b085ae98482fa80904e4a3028c1849a3
16. 0x1068659ec8f2bcf26e4ad39786557a8c45d60e5ebba4fce2fb9962b2c9c59920
17. 0xf9973981f80219d4f00fa9186b40a8144accc0c9875572fb79eaea312a21a187
18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af