Evidence row 221098

What was observed

{
  "count": 6,
  "tools": [
    {
      "description": "Add two matrices of the same dimensions entry by entry. Useful for exact matrix addition or explaining each entry step by step. Accepts integers, decimals, and fraction strings (for example 1/2); returns the exact sum matrix and a calculation for each position.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrixA": {
            "description": "First matrix.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          },
          "matrixB": {
            "description": "Second matrix.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrixA",
          "matrixB"
        ],
        "type": "object"
      },
      "name": "matrix_add"
    },
    {
      "description": "Find the exact determinant of a square matrix using fraction-preserving elimination. Use for determinant questions requiring row swaps, elimination steps, pivot multipliers, sign changes, diagonal products, or singularity checks. Returns the determinant and detailed operation steps.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrix": {
            "description": "Square matrix.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrix"
        ],
        "type": "object"
      },
      "name": "matrix_determinant"
    },
    {
      "description": "Find an exact inverse of a square matrix with step-by-step Gauss-Jordan elimination. Use for inverse questions needing exact fractions, augmented matrices, row swaps, normalization, elimination, and verification that A times A-inverse is identity. Returns the inverse and verification, or null with singular=true if not invertible.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrix": {
            "description": "Square matrix.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrix"
        ],
        "type": "object"
      },
      "name": "matrix_inverse"
    },
    {
      "description": "Multiply A by B when A's column count equals B's row count, including non-square matrices. Useful for exact matrix multiplication and step-by-step row-by-column dot products. Returns exact results plus each factor pair, product, and entry calculation; accepts fractions and decimals.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrixA": {
            "description": "Left matrix A.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          },
          "matrixB": {
            "description": "Right matrix B.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrixA",
          "matrixB"
        ],
        "type": "object"
      },
      "name": "matrix_multiply"
    },
    {
      "description": "Subtract matrix B from matrix A when both have the same dimensions. Useful for exact matrix subtraction, including negative values and step-by-step entry calculations. Accepts integers, decimals, and fraction strings; returns each exact difference and its calculation.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrixA": {
            "description": "Matrix to subtract from.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          },
          "matrixB": {
            "description": "Matrix to subtract.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrixA",
          "matrixB"
        ],
        "type": "object"
      },
      "name": "matrix_subtract"
    },
    {
      "description": "Transpose a rectangular or square matrix by exchanging rows and columns. Useful for requests to show where each result entry originated. Preserves exact integer, decimal, and fraction inputs and returns the transposed matrix with source-to-result position mappings.",
      "inputSchema": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "properties": {
          "matrix": {
            "description": "Matrix to transpose.",
            "items": {
              "items": {
                "type": [
                  "string",
                  "number"
                ]
              },
              "minItems": 1,
              "type": "array"
            },
            "minItems": 1,
            "type": "array"
          }
        },
        "required": [
          "matrix"
        ],
        "type": "object"
      },
      "name": "matrix_transpose"
    }
  ]
}

What the leaf hashes

{"body":"f05387ec66f452c43d11ec29ba3b94cd9124285404c416a87ea28c8f0bd2e0e2","id":221098,"kind":"mcp.tools","method":"probe.mcp/1","observed_us":1793027104906046,"prev":null,"subject":"bfe24dbb-ed18-4d2f-84ee-27c3b4674c68","subject_kind":"endpoint"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of 2026-10-26 (296695 rows).

1. 0x88a8de12ccc57017124d054816feabb2190ed643d741b6ef42de991ac235f135
2. 0x29e1e91b135fe2181f1fbf886d920e77a6d3abb2cd2b5d3627d5d4b51346a21b
3. 0x2e70f248f4c6039d7ce10e3a57dd7aec12405173407a0db17d3b88eb696ad4e9
4. 0x3e0aaaac5b28a47a6ecdd7fcbbaa7eb10f2908ea2f19a83ca65ecc8e42424b63
5. 0x1ef32436ce8c4ffa8da724567c241e8be3586d81883df0bb9de9ee2bc716346a
6. 0x2e5eafb68e6d07ba1893ff8d6f6a13d358cd7ad4899200353559a427ecd701ae
7. 0xf6516f8b5c0e6ec7b5e26e126b894f208458fdd5f4526e105e4ea8e9cc9eb178
8. 0xec9ebfb2a70291ac3b9bbe0d72ba46dea1b2cf4cd9fc2e28a5a6f2b4007df0e8
9. 0x5b6e8e0541fb344293a23841c54b771292c6b9fa07e54e6ac5c6622881ab8d78
10. 0x0bddd95edb3cc8a74f81c35b1f32507f6ed7a6ed6ae13fea115bbe410ecc9777
11. 0x8c20bf7d4b3dd52508d554a379143f96b80b2bc0af227c0b1ce2e34d99c6430b
12. 0x7bf2d426bb827b94d7608055662cf2e3f09791e1a4c2c6bd606c0a9e89b18e59
13. 0x49d11be052a4c069b10250aaba214f566b3f2e5aaa7a98e82ccc6a71c0e801a0
14. 0x78ac2b34737774659a6a411f4d10b8ba570d40699d9f277321c3a32ff03d1dc9
15. 0x7eb603d37f0f22dae1ea013e391889906ffc0139ff26e25b044bee38eec8f9b2
16. 0x2b6e23e3624a1b66e1d2298cfbce99a93ce6b13d24a58112a71802d79c5f7a76
17. 0xd21942ae3214eff88e08ab04884fd4b11958b51af9a0741b7668e2d07a2c56c9
18. 0x9a9024edb5069d88a324facb310a5ce8e495214bbaa968f077bede437390194f
19. 0x9b9ce5b74b9bab5121612ef6b64920a8d453cbf311096a423eef9702747e868a

Day root

0xf43e8dcc3d451a4788b26be904c55e8c4c0fa75c9666796c51db38d37e2c0df8

Chained

0x702d5ac508f08b0d1accf36af25822d8e5660367494edd17a642fb61e158a57a

Published

On Arc Testnet, block 69251483: 0x495162f8936e19f0039918feebe6c307f327cd6bf8c37219620b1970041fa9ae