Evidence row 2201589

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://math-geometry.x402tookit.com/sequence-sum"
    ]
  ],
  "name": "Algebra and Geometry Solvers",
  "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": "Arithmetic and geometric sequences: n-th term and sum (and infinite sum when it converges), plus Fibonacci and Lucas numbers.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "first": 1,
              "n": 10,
              "step": 2,
              "type": "arithmetic"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T08:51:19.644Z",
              "average": 10,
              "commonDifference": 2,
              "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.",
              "firstTerm": 1,
              "n": 10,
              "notChecked": [
                "exact big-integer arithmetic for arithmetic and geometric series with non-integer inputs (those use double precision)",
                "very large geometric terms that overflow 1e308 (reported as too large)"
              ],
              "nthTerm": 19,
              "reasons": [
                "a_n = a_1 + (n-1)d; S_n = n(a_1 + a_n)/2."
              ],
              "source": "computed locally",
              "sum": 100,
              "summary": "Arithmetic: first 1, difference 2: term 10 = 19, sum of 10 terms = 100.",
              "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": {
                    "first": {
                      "description": "First term (arithmetic, geometric)",
                      "type": "number"
                    },
                    "n": {
                      "description": "Number of terms, or the index for fibonacci and lucas (up to 5000)",
                      "type": "integer"
                    },
                    "step": {
                      "description": "Common difference (arithmetic) or common ratio (geometric)",
                      "type": "number"
                    },
                    "type": {
                      "description": "arithmetic, geometric, fibonacci or lucas",
                      "type": "string"
                    }
                  },
                  "required": [
                    "type",
                    "n"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "average": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "commonDifference": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "firstTerm": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "n": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "nthTerm": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "sum": {
                      "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": "2026-11-01T23:37:32.537Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T23:37:32.366Z"
    },
    "resource": "https://math-geometry.x402tookit.com/sequence-sum",
    "serviceName": "Algebra and Geometry Solvers",
    "tags": [
      "math",
      "sequence",
      "series",
      "fibonacci"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Arithmetic and geometric sequences: n-th term and sum (and infinite sum when it converges), plus Fibonacci and Lucas numbers."
}

What the leaf hashes

{"body":"3d61a1666c06a90d29eba369bf53ce7c51976559e660afb6d9c716e32d384386","id":2201589,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806794060,"prev":null,"subject":"x402_bazaar:https://math-geometry.x402tookit.com/sequence-sum","subject_kind":"source_record"}

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. 0x7025bf65fc1efe371e7fe51926e255023f85486a29ff0030ce4df4dcbc8e773b
2. 0x383fbad1513cbbec5847bd870f90ba871948430e22abdc094e2db9d25e4db9ac
3. 0x3b766bb7b9f375df52a790902c4b702f041e95fa36666ad7b379626d289194a9
4. 0xf96d8b924e15336d83abf1a506f65f281cce18d3cef11178fef4a33e78f5bb9e
5. 0x6547c2bd80fed078362024666f0472994c8a2f6c2a88acd017d006757246b19b
6. 0xcf29b079c6fced109c320189f44fa56ae52b75b68cadfc257da76f6b0a4b1ce1
7. 0xdea7be5407b94cc2dcb4a41f0a12259cbb8fc0ebee96bf04fd87e398c8cf3ffb
8. 0x279b06fce40d66f0bbfa2b40828b82239ccba2920247f3e2348dfac25a6935d2
9. 0xff1b980ba455bf5f21d3fb692f5be64540439640e1452a65e15f6bc05c0fd291
10. 0x2a706477a4a4c9f61f3b449c72b3b67abd9be529a30a796e3acfa465b9f72af5
11. 0x373c796320c7df6f6eee00262e8f9be2de66a996c95036bbc134572a4e11ed35
12. 0xfae5eba0f7987b5c42177d337465c3ecc14624ad4cad3ffd025f9ac681fc2c37
13. 0x608160924e1d66c9701d48e69e878606fa6a4dd94a73d3f0570dadb0c3de65b3
14. 0xb903742c059190ddedc375958f73db84c3806732f1e54330407245d4734015f5
15. 0x2cdc73dde4ed839d7482b6b91833e64bef56c7626db8439f3bbdfcffd2ae32a3
16. 0x0e5696ae625571c52ddcd8dc09aa6c994b4ab38f2086df20d56f1f01c603e501
17. 0xf9973981f80219d4f00fa9186b40a8144accc0c9875572fb79eaea312a21a187
18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af