Evidence row 2202006

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://data-calc.x402tookit.com/littles-law"
    ]
  ],
  "name": "Systems Capacity Calculators",
  "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": "Little's law L = rate x time in system: solve for concurrency, throughput or latency given any two; sizes pools.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "arrivalRate": 50,
              "timeInSystem": 200,
              "timeUnit": "ms"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "arrivalRatePerSecond": 50,
              "asOf": "2026-10-11T20:19:39.714Z",
              "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.",
              "itemsInSystem": 10,
              "notChecked": [
                "that the system is stable and in steady state over the averaging window (Little's law needs long-run averages)",
                "variance, percentiles and bursts: the law is about averages only",
                "…1 more"
              ],
              "poolSizeAt50PercentUtilization": 20,
              "poolSizeAt70PercentUtilization": 15,
              "reasons": [
                "L = lambda x W holds for any stable system, whatever the arrival or service distribution.",
                "To size a connection or thread pool, use L as the average busy count and add headroom (at 70% target utilisation: L / 0.7).",
                "…1 more"
              ],
              "solvedFor": "itemsInSystem",
              "source": "computed locally (Little 1961)",
              "summary": "L = 10 items, lambda = 50 per second, W = 200 ms -> about 10 concurrent items (a pool of 10 would be 100% busy).",
              "timeInSystemInUnit": 200,
              "timeInSystemSeconds": 0.2,
              "timeUnit": "ms",
              "verdict": "SOLVED"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "arrivalRate": {
                      "description": "Throughput lambda: items entering (and leaving) per second",
                      "type": "number"
                    },
                    "itemsInSystem": {
                      "description": "Average number L of items in the system (concurrency, connections, queue plus service)",
                      "type": "number"
                    },
                    "timeInSystem": {
                      "description": "Average time W an item spends in the system (use timeUnit)",
                      "type": "number"
                    },
                    "timeUnit": {
                      "description": "Unit of timeInSystem: ms, s (default), min or h",
                      "type": "string"
                    }
                  },
                  "required": [],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "arrivalRatePerSecond": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "itemsInSystem": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "poolSizeAt50PercentUtilization": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "poolSizeAt70PercentUtilization": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "solvedFor": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "timeInSystemInUnit": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "timeInSystemSeconds": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "timeUnit": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:47:15.415Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:47:15.219Z"
    },
    "resource": "https://data-calc.x402tookit.com/littles-law",
    "serviceName": "Systems Capacity Calculators",
    "tags": [
      "littles-law",
      "queueing",
      "concurrency",
      "capacity-planning"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Little's law L = rate x time in system: solve for concurrency, throughput or latency given any two; sizes pools."
}

What the leaf hashes

{"body":"9c8b0cde477a821b547fc4313b56402af0aaa750bdaaadde7f3a4ea6c3b00428","id":2202006,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811316886,"prev":null,"subject":"x402_bazaar:https://data-calc.x402tookit.com/littles-law","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. 0x8aa09c8cca34e2a7b815c8f3eab13569cf2a569ce085caf7a2f43d8b280e28c0
2. 0x502d7e9f3685224c0a67c1cb6cccbac2983b1ae0985782143b1988fdf9f7a39b
3. 0x0c6d1e44e3c7ae452a3cc1683f5e325ea00c8da090bc99f152d8a35cbf01ed79
4. 0x7964e95ea450f549e49797e21717ca0130d8324faaf4a5800e1d4bc7721cfbde
5. 0xd640cd9953979972ffc1de359fa45fef75d64e3dbebe13aa84f22ed34e27dc75
6. 0xc07a1df9f45e1ef15a832ee16e7edaad032e2dfa89be66a81a906cdb7b446e64
7. 0x3dd2db7520ffc6aebb1682cb24ac4f9e1b433294793376ee532f8c835d29c538
8. 0x3544cf1eacb609f2de462b5e78c4036585198012c75fa2202253120fbd43829c
9. 0x607aa8b4377e14a7d90240ca369a66275edd02e6e959e21677a893d931f7876c
10. 0xb0eb5565f6e18dc8a7da5704954d030fcd4cb0da7baef1631f130540a521de5a
11. 0x1b89b6fcdaee177466befaa588d04885f90c23db202576960672c832345ecfa1
12. 0x5e19b65c9dca303d18d3307f340e866c83a5cd5294e32913f90d6115847dd766
13. 0x5d871bfcf034460b25418e4174693de4c0943330f7c1beda840614a4c45cc42c
14. 0xf38c9617f655dc8f7c8fa11461cb30752d581a6bbb15051130839452c80c4270
15. 0x510fa2c647d18bb802da12cf41e17d136163e6624e69ed77e15235c4284b69c7
16. 0x5e23ec5954c11a4530aab8c635a72b12bcfeb6fcb03c6cb1a990cc1743424543
17. 0x1805ef693fbdb2c23fcb61616f830408ca89bec1dc5b68ee47a770ffc0b9760a
18. 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
19. 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e

Day root

0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1

Chained

0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2

Published

On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af