Evidence row 2202265

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://audio-calc.x402tookit.com/bit-depth"
    ]
  ],
  "name": "Audio Calc",
  "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": "Dynamic range, levels and smallest step for a PCM bit depth, theoretical SNR, and the bit depth needed for a dB range.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "bits": 16
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T14:38:33.327Z",
              "bits": 16,
              "bitsNeededExact": 16,
              "bitsNeededRoundedUp": 16,
              "dbPerBit": 6.0206,
              "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.",
              "dynamicRangeDb": 96.3296,
              "fullScaleVolts": 1,
              "levels": 65536,
              "lsbDbfs": -90.309,
              "lsbVolts": 0.000030517578125,
              "notChecked": [
                "real converters, whose effective number of bits (ENOB) is several bits lower than the nominal depth",
                "dither and noise shaping, which trade noise for linearity and can move the effective floor",
                "…2 more"
              ],
              "reasons": [
                "Each extra bit adds 6.02 dB (a factor of two in amplitude).",
                "The +1.76 dB is the ratio of a full-scale sine's RMS to the quantization noise RMS (step/sqrt 12)."
              ],
              "signedMax": 32767,
              "signedMin": -32768,
              "source": "Ideal quantizer theory: SNR = 6.0206 N + 1.76 dB for a full-scale sine, computed locally",
              "summary": "16-bit PCM has 65536 levels and a theoretical SNR of 98.0896 dB (96.3296 dB range).",
              "theoreticalSnrFullScaleSineDb": 98.0896,
              "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": {
                    "bits": {
                      "description": "Bit depth, 1 to 64 (use this, or dynamicRangeDb)",
                      "type": "integer"
                    },
                    "dynamicRangeDb": {
                      "description": "A dynamic range in dB to convert to the bits needed",
                      "type": "number"
                    },
                    "fullScaleVolts": {
                      "description": "Peak voltage at full scale, to give the LSB size in volts (default 1)",
                      "type": "number"
                    }
                  },
                  "required": [],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "bits": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "bitsNeededExact": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "bitsNeededRoundedUp": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "dbPerBit": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "dynamicRangeDb": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "fullScaleVolts": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "levels": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "lsbDbfs": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "lsbVolts": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "signedMax": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "signedMin": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "theoreticalSnrFullScaleSineDb": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:36:26.543Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:36:26.254Z"
    },
    "resource": "https://audio-calc.x402tookit.com/bit-depth",
    "serviceName": "Audio Calc",
    "tags": [
      "audio",
      "bit-depth",
      "dynamic-range",
      "quantization"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Dynamic range, levels and smallest step for a PCM bit depth, theoretical SNR, and the bit depth needed for a dB range."
}

What the leaf hashes

{"body":"b01b86429a52e3c70eec571f4a890d44384bb652ce8954ca2d40c9ddd973c795","id":2202265,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646814785486,"prev":null,"subject":"x402_bazaar:https://audio-calc.x402tookit.com/bit-depth","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. 0x59b3ae5fa2940f97712680fccb185b775fbfde179c040ab4c8286aa0322db30d
2. 0xf6c896bbc7608127c3f109feec1252590f7f95944552721e9d09c4b6049420d8
3. 0x0b1ad3a2fb3c2a082796f28aba1bf12c2bc9fe14552322a0283d154a5b97b739
4. 0x387a06cb55b88c5efa9315729869bdf10a2981e7f8be2b23e835a668a393af24
5. 0x1bb93b5a40dfe4f7b2388e01db7fb5d89e7e4d30af9d64b8c143881602b2be02
6. 0x0df9a50ab3bfbdd8d2cd07665708568b1173b85bea8dd929506c793cb024873b
7. 0x904235637fbcecdd7f5251d2aafb191d17afd4a3590109405186dc21d74bc747
8. 0x8011e33a6533677c20b9408f2b0315b23ee137e6bbcea238490cc3a15c6b7f08
9. 0x886fc3a32406edf33aca7e1767c5fe01614af133772aa20d6d9f12696afcb9d7
10. 0xd9d41db1b11a5e827ef356ce8d489f98bc52ba6626c01a016e9f9caf91657f65
11. 0x9a7b1bbfa6979d86314592b523be63d06fccf30879ca28ed18e82b2848b95d87
12. 0x743965841c5bcd4dc40acce4c5cb3378e8799faf86f86cbff29c65f36826cd7e
13. 0x04a2764875935b38489e204384b26fce2bde25d67ea9c3bfa8dfb815f7d3928e
14. 0x463370b8390b2f93f44023fe6ce3fd4ebff0a7fecb7894dd4f82f8253ec8661f
15. 0x52242d46cadab5f421a6f86c1edc6379b085ae98482fa80904e4a3028c1849a3
16. 0x1068659ec8f2bcf26e4ad39786557a8c45d60e5ebba4fce2fb9962b2c9c59920
17. 0xf9973981f80219d4f00fa9186b40a8144accc0c9875572fb79eaea312a21a187
18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af