addrbookFor publishers
← The evidence ledger

Evidence row 2201590

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://math-geometry.x402tookit.com/quadratic-solve
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
41646d923506a42be47dc397b876000393edb00f5e1592f85c169190db088608
Leaf
0x4725f5f1a50bb55ff71898e5a3ee989efc31227ce6accbebce3cf2018a16fcc6

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://math-geometry.x402tookit.com/quadratic-solve"
    ]
  ],
  "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": "Solve ax^2 + bx + c = 0: real or complex roots, discriminant, vertex, axis of symmetry and factored form.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "a": 1,
              "b": -5,
              "c": 6
            },
            "type": "http"
          },
          "output": {
            "example": {
              "a": 1,
              "asOf": "2026-10-11T08:51:19.381Z",
              "axisOfSymmetry": "x = 2.5",
              "b": -5,
              "c": 6,
              "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.",
              "discriminant": 1,
              "factored": "1(x - 2)(x - 3)",
              "notChecked": [
                "exact (symbolic) roots: results are decimals",
                "roots of huge or tiny coefficients beyond double precision"
              ],
              "opensUpward": true,
              "productOfRoots": 6,
              "reasons": [
                "Computed with the numerically stable form that avoids cancellation when b is large."
              ],
              "rootType": "two distinct real roots",
              "roots": [
                2,
                3
              ],
              "source": "computed locally",
              "sumOfRoots": 5,
              "summary": "1x^2 + -5x + 6 = 0: x = 2 or 3 (discriminant 1).",
              "verdict": "TWO_REAL_ROOTS",
              "vertex": {
                "x": 2.5,
                "y": -0.25
              },
              "yIntercept": 6
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "a": {
                      "description": "Coefficient of x^2 (not 0)",
                      "type": "number"
                    },
                    "b": {
                      "description": "Coefficient of x",
                      "type": "number"
                    },
                    "c": {
                      "description": "Constant term",
                      "type": "number"
                    }
                  },
                  "required": [
                    "a",
                    "b",
                    "c"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "a": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "axisOfSymmetry": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "b": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "c": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "discriminant": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "factored": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "opensUpward": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "productOfRoots": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "rootType": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "roots": {
                      "items": {
                        "type": "number"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "sumOfRoots": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "vertex": {
                      "properties": {
                        "x": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "y": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "yIntercept": {
                      "type": [
                        "null",
                        "number"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T23:37:29.505Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T23:37:29.345Z"
    },
    "resource": "https://math-geometry.x402tookit.com/quadratic-solve",
    "serviceName": "Algebra and Geometry Solvers",
    "tags": [
      "algebra",
      "quadratic",
      "roots",
      "calculator"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Solve ax^2 + bx + c = 0: real or complex roots, discriminant, vertex, axis of symmetry and factored form."
}

What the leaf hashes

{"body":"41646d923506a42be47dc397b876000393edb00f5e1592f85c169190db088608","id":2201590,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806797241,"prev":null,"subject":"x402_bazaar:https://math-geometry.x402tookit.com/quadratic-solve","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. 0x4725f8e4f7b44a0416a23ac08517c69fa0de5b526e7343f96fdf9ea970110311
  2. 0x3b6b9afd9a1d04c91ad00c637e51eb89d02f8e0bf90675cf02869e05d64a82e4
  3. 0x7c80fbb2769bb10bcbcdcecc1f7da7c66d5690163d7fb022e5c82bf09e1b70c0
  4. 0x99b483bb15cd4fe0448e626a0bd7c9acf1f7bfb7037f8b33547aa5264830186e
  5. 0x0724d973836eb289cd1c4aede5dcbe7dbd329fcd0a35962ee14cab398a9d3365
  6. 0x8f286407488a22f1e3484ec6b19055e8b9c8b3b519ed3d3cf89e82ed98287b36
  7. 0xd60d9a8c291c3fe05f44ea55a0d880560f09fa25a922591ebbf8d9b0b784a383
  8. 0x6f47b95f9e6807e37fb40bd7fd2ecfbe72c540659bab532b3b7af8c64d87bbae
  9. 0xd469a371ebe9674ab9c0e960afa8637cfb690e9771ab333b039f26ceb9f30c59
  10. 0x016b1614282904cb7ef7baaeb01116901a8db7760352f2bde485c913fa2d3143
  11. 0x698ee6480581964bde446ed654cae2702def127e3ae27ee9be84e44adffdd0ba
  12. 0xcb35c8e9efae833d2a997b356d4d3b000b0f5841c3b9202c985c07819fe5c916
  13. 0xa3336de478ff1096fe3a4c0522656d3a2923e8e721fe01f8fd137ddc7734c22e
  14. 0xdc58bc56b35577036d6185abcf0d4c91a45df10bd65f767505c1d43fcecde566
  15. 0x3217f821997a6d778dcf0814a25b1296c55ab77710c675e7b15695d25a6ce67d
  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