Evidence row 1508263

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://saylorinnovations.com/api/math/number-theory"
    ]
  ],
  "name": "Saylor Innovations Data Desk",
  "owner_address": "0xa2a8df0f7caabea4e120a2568118f141569fc8aa",
  "raw": {
    "accepts": [
      {
        "amount": "10000",
        "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
        "extra": {
          "assetTransferMethod": "eip3009",
          "facilitatorOnly": true,
          "memo": "saylor:datadesk:number-theory",
          "name": "USD Coin",
          "note": "Base settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
          "version": "2"
        },
        "maxTimeoutSeconds": 120,
        "network": "eip155:8453",
        "payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
        "scheme": "exact"
      },
      {
        "amount": "10000",
        "asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
        "extra": {
          "assetTransferMethod": "eip3009",
          "facilitatorOnly": true,
          "memo": "saylor:datadesk:number-theory",
          "name": "USD Coin",
          "note": "Polygon settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
          "version": "2"
        },
        "maxTimeoutSeconds": 120,
        "network": "eip155:137",
        "payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
        "scheme": "exact"
      },
      {
        "amount": "10000",
        "asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
        "extra": {
          "assetTransferMethod": "eip3009",
          "facilitatorOnly": true,
          "memo": "saylor:datadesk:number-theory",
          "name": "USD Coin",
          "note": "Arbitrum settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
          "version": "2"
        },
        "maxTimeoutSeconds": 120,
        "network": "eip155:42161",
        "payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
        "scheme": "exact"
      },
      {
        "amount": "10000",
        "asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
        "extra": {
          "feePayer": "Hc3sdEAsCGQcpgfivywog9uwtk8gUBUZgsxdME1EJy88",
          "memo": "saylor:datadesk:number-theory"
        },
        "maxTimeoutSeconds": 120,
        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
        "scheme": "exact"
      },
      {
        "amount": "10000",
        "asset": "Es9vMFrzaCERmJfrF4H2FYD4KCoNkY11McCe8BenwNYB",
        "extra": {
          "feePayer": "Hc3sdEAsCGQcpgfivywog9uwtk8gUBUZgsxdME1EJy88",
          "memo": "saylor:datadesk:number-theory"
        },
        "maxTimeoutSeconds": 120,
        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
        "scheme": "exact"
      }
    ],
    "description": "Number Theory Toolkit: Prime Check, Factors, Divisors, Roman, Words, Bases — Reference Data",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "m": "84",
              "n": "360360"
            },
            "type": "http"
          },
          "output": {
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET",
                    "POST",
                    "PUT",
                    "PATCH",
                    "DELETE",
                    "HEAD"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "m": {
                      "description": "optional second number for gcd and lcm",
                      "type": "string"
                    },
                    "n": {
                      "description": "Whole number 0 to 9007199254740991",
                      "type": "string"
                    }
                  },
                  "required": [
                    "n"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "binary": {
                      "description": "Binary representation",
                      "type": "string"
                    },
                    "digit_sum": {
                      "description": "Digit sum",
                      "type": "number"
                    },
                    "hexadecimal": {
                      "description": "Hexadecimal representation",
                      "type": "string"
                    },
                    "in_words": {
                      "description": "In words",
                      "type": "string"
                    },
                    "is_perfect_square": {
                      "description": "True when this is perfect square",
                      "type": "boolean"
                    },
                    "is_prime": {
                      "description": "True when this is prime",
                      "type": "boolean"
                    },
                    "n": {
                      "description": "The integer analysed",
                      "type": "number"
                    },
                    "next_prime": {
                      "description": "Next prime",
                      "type": [
                        "number",
                        "null"
                      ]
                    },
                    "note": {
                      "description": "Caveat or context for reading the result",
                      "type": "string"
                    },
                    "octal": {
                      "description": "Octal representation"
                    },
                    "roman_numeral": {
                      "description": "Roman numeral",
                      "type": [
                        "string",
                        "null"
                      ]
                    },
                    "source": {
                      "description": "Data source the values come from",
                      "type": "string"
                    },
                    "with_m": {
                      "description": "With m",
                      "properties": {
                        "coprime": {
                          "description": "True when n and m share no factor"
                        },
                        "gcd": {
                          "description": "Greatest common divisor with m"
                        },
                        "lcm": {
                          "description": "Least common multiple with m"
                        },
                        "m": {
                          "description": "Second number supplied"
                        }
                      },
                      "type": "object"
                    }
                  },
                  "required": [
                    "n",
                    "is_prime",
                    "in_words"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "json",
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "iconUrl": "https://res.cloudinary.com/bdb-prod/image/upload/c_fill,ar_1:1,w_256,h_256,f_auto,q_auto/v1791811517/bazaar-icons/bc5e2b3d111ebbef.jpg",
    "lastUpdated": "2026-10-31T00:03:42.555Z",
    "quality": {
      "l30DaysTotalCalls": 5,
      "l30DaysUniquePayers": 4,
      "lastCalledAt": "2026-10-31T00:03:42.264Z"
    },
    "resource": "https://saylorinnovations.com/api/math/number-theory",
    "serviceName": "Saylor Innovations Data Desk",
    "tags": [
      "is this number prime",
      "prime factorization of a number",
      "number to roman numeral",
      "number to english words",
      "gcd and lcm of two numbers"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Number Theory Toolkit: Prime Check, Factors, Divisors, Roman, Words, Bases — Reference Data"
}

What the leaf hashes

{"body":"6d426391e178592cc7a6b8f3c61952326651d0ca5be88f8005ad32c75da1670c","id":1508263,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793472709126481,"prev":1261850,"subject":"x402_bazaar:https://saylorinnovations.com/api/math/number-theory","subject_kind":"source_record"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of 2026-10-31 (246033 rows).

1. 0xcf62c6951b50105b4b984d6c5fb3ff1ff3f9be4cd22cabad7bd656f8d7dcd04c
2. 0x711df03df687fecba73761a3aa673751f5ae45ac01b1c37605ecf9ea8506f077
3. 0x83f05d1e46f596cef572424e7ab8d76ba2b2934a85ccc7de1d5b2f3ceaa7e63a
4. 0xd0c0a469344b28eb7020e94e6e83c9310b376e62136c59fa3567aadc30d0e12b
5. 0xbd78ddbbd8b2f1263781d67dcc30bb35d27caa30fc471835ba918aa8835c5999
6. 0xf307c3dc6680719dfe86409128da323750cd6a633fe65e74d32b37a1840e178d
7. 0x785d2855ea8304bd31c29080c24cdc6293e056acab5ac889b9d522bc0c0bed35
8. 0x6e0f574eb1a568a5e905638770ab059743c8d738aed2644351c5819041e69018
9. 0x9b27b6ee17cf619c2eaf8e26c3f73a8784b90065836c5cc794561c34adef85fe
10. 0x7e43783d3f17911440f663660a795c9b54679cb55d1cf074a44b4e0031116f20
11. 0x468ac6a22dce19fbfaa27e96f99bbd2e897622df556d42c4e89d3527010d79d9
12. 0xba868b2f1cd63acc426cbe69b330be28a71a278a86a64bc4049a67caba3b7373
13. 0x879ea14b1df50a9eb1b0b6c572c1b9a9c8ea03779d4e7040c5836848130f41fc
14. 0x0914258a3cd32c99db9301b59460f511f2cae6747f3045a418ce9caa1edb7ef9
15. 0xad3f03d7f9e1b66264ddfca29446faf13bc0fee7d8eec5f018d0d45302d3f8fd
16. 0x24f03354dcb3a621317889ed99048bdf74b380516ca991bfb585c751d5cc7dfd
17. 0xa1146af524f673843507e7427a575964580eef01bc0e0eae466a7920df017ab2
18. 0x0504a25438f3c7932125463198ca74c5064f23f71a5c92763b3fc96a98cc8b57

Day root

0x24463725d1c0d9894bd6123691d532547aaa79f0762c0e45aa6a68acf1fd71ab

Chained

0x7d4824ff313dee7252a46f9d5c37b452851deb6c9f24a40c2f74ee0e53c82980

Published

On Arc Testnet, block 70093156: 0xedb7b832f4ebf6781b5ecd2ed241c435b862f4d3761541fa31adc1831b8c44a0