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            {
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              "status": "complete",
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            {
              "query": {
                "index": "248",
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              "status": "complete",
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            },
            {
              "query": {
                "index": "249",
                "direction": "forward"
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              "status": "complete",
              "output": "128",
              "cycle_hops": 1,
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            },
            {
              "query": {
                "index": "250",
                "direction": "forward"
              },
              "status": "complete",
              "output": "183",
              "cycle_hops": 1,
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            },
            {
              "query": {
                "index": "251",
                "direction": "forward"
              },
              "status": "complete",
              "output": "175",
              "cycle_hops": 1,
              "switch_lookups": 16
            },
            {
              "query": {
                "index": "252",
                "direction": "forward"
              },
              "status": "complete",
              "output": "83",
              "cycle_hops": 1,
              "switch_lookups": 16
            },
            {
              "query": {
                "index": "253",
                "direction": "forward"
              },
              "status": "complete",
              "output": "191",
              "cycle_hops": 1,
              "switch_lookups": 16
            },
            {
              "query": {
                "index": "254",
                "direction": "forward"
              },
              "status": "complete",
              "output": "12",
              "cycle_hops": 1,
              "switch_lookups": 16
            },
            {
              "query": {
                "index": "255",
                "direction": "forward"
              },
              "status": "complete",
              "output": "38",
              "cycle_hops": 1,
              "switch_lookups": 16
            }
          ],
          "work_units": 4096,
          "provider": {
            "kind": "append_os_entropy",
            "retained_switch_rows": 2048,
            "retained_store_bytes": 293486,
            "rows_at_open": 2048,
            "new_rows": 0,
            "lookups": 4096,
            "randomness_status": "OS entropy calls; actual independent fairness unverified",
            "consistency_scope": "Cooperating processes on a local POSIX file with flock; no network/distributed/power-loss guarantee",
            "integrity_scope": "Canonical rows and hash chaining detect malformed/changed interior records; unanchored tail removal is not detected"
          },
          "source_proof_verification": "not_run",
          "program_formal_verification": "not_run",
          "source_mixing_guarantee": "not_established",
          "numerical_universal_sweep_threshold": "not_selected",
          "wire_scope": "Canonical decimal strings parsed by Python exact integers; no JavaScript implementation tested",
          "limits": {
            "queries": 256,
            "switch_lookups": 4000000,
            "store_rows": 100000,
            "store_bytes": 8000000,
            "lock_wait_seconds_max": 5
          }
        }
      },
      "ordering": "Sparse first; materialization extends/uses exactly the same provider assignment; full point traversal last. These are dependent phases, not independent performance samples."
    }
  },
  "conventional_raw_int64_index_array_bytes": 2048,
  "source_assurance": "No universal threshold, independent fair-bit law, source proof or formal program verified",
  "interpretation": "One small engineering observation. The byte baseline is a packed int64 representation, not measured Python list storage. JSON persistent-bit overhead can erase a sparse-access memory advantage. A compact store, realistic workload and repeated benchmarks remain open. No cross-provider randomness equivalence, PyTorch comparison, speedup or business value inferred."
}