Evidence row 1261850

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": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
          "memo": "saylor:datadesk:number-theory"
        },
        "maxTimeoutSeconds": 120,
        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
        "scheme": "exact"
      },
      {
        "amount": "10000",
        "asset": "Es9vMFrzaCERmJfrF4H2FYD4KCoNkY11McCe8BenwNYB",
        "extra": {
          "feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
          "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": "2026-10-30T11:04:13.679Z",
    "quality": {
      "l30DaysTotalCalls": 4,
      "l30DaysUniquePayers": 4,
      "lastCalledAt": "2026-10-30T11:04:13.424Z"
    },
    "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":"c355aab50b11879cb60ad0eaa3c1b9b3fa45e4a44227d7215ef06dc3ac72d5c8","id":1261850,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793385516984108,"prev":120406,"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 2026-10-30 (243099 rows).

1. 0x8e628885e42b6bea0eb3f74e4577ab3d4786b395cf287993f846810affdcd97b
2. 0x3e7452f6c29acccdad8bd78eccfb325bb8da4dbd1a52d669b6d627dc235e4e88
3. 0x7b6be41bede5f2f443f3fff36ccb2604947491482af4c5841dea6f7f9674dfc0
4. 0x3dff9ff87f45402bd9b1bf9db742ee6da88f489b2e2d47eca96f9781f5f36fa6
5. 0x757e450b1addc63c0011ae4c489de887bdfc897457d194abc1b0855863bf8eda
6. 0xe209cab982b7378cc4065ae6a2b49eec7c203809fc168240979e2cf06cf03599
7. 0xdfebeac4514f033143abd85e14f12f077b1c70b883fda1d0cafe658b0826b1ee
8. 0xfd93d69c680c2fa9f1839d2e2659332b137e7162f7bcdf3e255ec7d15048a2a4
9. 0xda6c314defc077b6443d82946f454a5f27ffa6c0a7ffe03c86eefe1a4fea2f32
10. 0x448a88b8e78c7a0cbab05aaf16d7ce1f7f8df1684ecd83d48b65e9f97d5048ca
11. 0xcd9588e128a60552d252c58d38e5c3818af0df9eb8505df370490a269e593247
12. 0x33c7220b44c8f9547522b3c85b2e7dbcccf46f05c3a01d4cfdbc5047d04bd3fd
13. 0xe5c7bcff4eb1a1cddbc8bb6427c555e10172e9ed2ae1d01f85ac9bd0def75a2a
14. 0xc819bc399b4972a3a1ce1897d0bce2138291f900ae9bdb4afaf8fa23d651b490
15. 0xe722b5213af778d8f1621b8b0b61f957ac8d8bb43a780aed8989bfc357e5bc58
16. 0x835211170e79bdce1a823ec914e3532e128f77751e9074286da35091b0200284
17. 0x61ef83255d34604cb052882568ca1d1386ac3cfb8284509715bc1734cff77831
18. 0x0c43c73b62a5d49ee1444b5dc4195fc5b16b141d3f4458e2e9fbd5fd6ecb367d

Day root

0x0826c7ad6039e06a2360ca0a4a3a4fe7f2626c6dc19f71a37599386f78b39875

Chained

0x36b4c8a1063758f0b8765fa1bdf75fa92fb543cc183add3e261880ee2bd1f822

Published

On Arc Testnet, block 69923247: 0x8704744146c6967c8abc9e9a99de4db7283b29e840922ea83a69b6fe776e6861