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Evidence row 2201235

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://probability-calc.x402tookit.com/expected-value
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
13e6af6f2ebdaf6b6abe09fce9ec6a06299943a1276742ea2f2a2f955162ec35
Leaf
0x38c8819de07bfc20bbe4a23647f03c040c322b8a097f96e1fa088e749c516151

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://probability-calc.x402tookit.com/expected-value"
    ]
  ],
  "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": "Expected value, variance, standard deviation and chance of profit for a list of payoffs with probabilities or weights.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "normalize": "true",
              "outcomes": "35:1,-1:37"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T14:44:17.888Z",
              "bestOutcome": {
                "payoff": 35,
                "probability": 0.02631578947368421
              },
              "breakEvenCost": -0.052631578947368474,
              "costApplied": 0,
              "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.",
              "expectedValue": -0.052631578947368474,
              "notChecked": [
                "utility or risk preference: a positive expected value does not make a bet advisable (Kelly, ruin and variance matter)",
                "the accuracy of the probabilities you supplied",
                "…1 more"
              ],
              "outcomes": [
                {
                  "payoff": 35,
                  "probability": 0.02631578947368421
                },
                {
                  "payoff": -1,
                  "probability": 0.9736842105263158
                }
              ],
              "probabilityLoss": 0.9736842105263158,
              "probabilityPositive": 0.02631578947368421,
              "reasons": [
                "EV = sum of payoff x probability; variance = sum of (payoff - EV)^2 x probability.",
                "Over many plays you lose about 0.0526 per play on average; short runs can still win."
              ],
              "source": "computed locally",
              "standardDeviation": 5.762617133966734,
              "summary": "Expected value -0.052632 per play; standard deviation 5.7626; chance of a positive result 2.63%.",
              "variance": 33.20775623268698,
              "verdict": "NEGATIVE_EXPECTATION",
              "worstOutcome": {
                "payoff": -1,
                "probability": 0.9736842105263158
              }
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "cost": {
                      "description": "Optional price paid to play, subtracted from every payoff",
                      "type": "number"
                    },
                    "normalize": {
                      "description": "true to treat the numbers after the colon as weights and scale them to sum to 1",
                      "type": "string"
                    },
                    "outcomes": {
                      "description": "payoff:probability pairs, comma separated: 35:0.0263158,-1:0.9736842 (roulette straight-up, net of stake)",
                      "type": "string"
                    }
                  },
                  "required": [
                    "outcomes"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "bestOutcome": {
                      "properties": {
                        "payoff": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "probability": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "breakEvenCost": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "costApplied": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "expectedValue": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "outcomes": {
                      "items": {
                        "properties": {
                          "payoff": {
                            "type": [
                              "null",
                              "number"
                            ]
                          },
                          "probability": {
                            "type": [
                              "null",
                              "number"
                            ]
                          }
                        },
                        "type": "object"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "probabilityLoss": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "probabilityPositive": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "standardDeviation": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "variance": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "worstOutcome": {
                      "properties": {
                        "payoff": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "probability": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-02T04:07:42.599Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 1,
      "lastCalledAt": "2026-11-02T04:07:42.348Z"
    },
    "resource": "https://probability-calc.x402tookit.com/expected-value",
    "serviceName": "Probability Calculators",
    "tags": [
      "expected-value",
      "variance",
      "payoff",
      "probability"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Expected value, variance, standard deviation and chance of profit for a list of payoffs with probabilities or weights."
}

What the leaf hashes

{"body":"13e6af6f2ebdaf6b6abe09fce9ec6a06299943a1276742ea2f2a2f955162ec35","id":2201235,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646801684035,"prev":null,"subject":"x402_bazaar:https://probability-calc.x402tookit.com/expected-value","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. 0x38c8be2390b96f5080a2a288e7e6c3910cd7fae6fcbf673de0d13f94825501cd
  2. 0xa78e59994247c61e7c8bdbafb6462604f192494c0b3599f555d5a44fd436b9ac
  3. 0x82b2de71caf0c205a7aa286d7866c0df6e7960b393daaca8deb4ddcb19a20a6c
  4. 0xfea818957f38e982a6dc19f83748de2b09e5f98fc8d6a0854c634bbf65316db2
  5. 0xccd7f3d11e95e51c974416b86fd80856ca11b5d8e0efe8125a28009cb56674e3
  6. 0x7a03556de3865e1e0c363b79fc03244dbfd583f079ea4e21b3b4386ee4ccf35c
  7. 0x90c0b0f8fec896d42c0af3656887771068c3d475f4a99668362fdf794c0614b4
  8. 0xeca7b5a53ad9eae383aa159087654e47c327c199f8cf29d347aad00bb344bfb7
  9. 0x2b15e4e7a9ace266fd517e28fed4a7d08608d1470ab7ec5dad645099d16a9d33
  10. 0x20998bce7cd251700f64b0fdfe4f9d6896db67284026df1a721416b1eaab4e2b
  11. 0xb107f6cc667be020e4ece08fb1929e98c19e28e28188483bcafaf893cf12f8fc
  12. 0x0fd72956710df968a8f58dacdfceb8698025772998960cf002c04225c3ba96b2
  13. 0xaee6ec4fc06e2edf4e7718ad8b87a20e5863c6d259df1046ee61e5a22ea253b8
  14. 0x637ba5f029eadccf80c2665ace422cf50802b8ffd21717811c25c8f068f65dc8
  15. 0x8448bd1fe3c2d48b62a118ace4a5cb82fee53586dd43d776c2526ad844398919
  16. 0x8760c227928c5295506cd8606e763f86cf8cd2a549820fab4dc86d29ca0d816d
  17. 0xa20b9be86af7d690e040c9060a373b2fc5498edf3432f43c26f74fa2febc1e9a
  18. 0x050f2978b537f7afb21ee1551577cdf146d1c56f4df12d24315ae5e69366b0a4
  19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e
Day root
0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
Chained
0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
Published
On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af

How to check it · This row as JSON