{
  "status": "PASS",
  "groups": 20,
  "assertions": 27947,
  "results": [
    {
      "article": 1,
      "slug": "consensus-safety-progress",
      "check": "Enumerated quorum intersection and an agreement counterexample",
      "assertions": 20596,
      "witness": {
        "quorum_pairs": 20587,
        "unsafe_witness": "B votes x then y without a persistence rule"
      },
      "scope": "Subset arithmetic and a deliberately invalid voting rule; not a Raft or Paxos proof.",
      "status": "PASS"
    },
    {
      "article": 2,
      "slug": "serializable-invariants",
      "check": "Snapshot write skew versus both serial orders",
      "assertions": 3,
      "witness": {
        "snapshot_final": [
          0,
          0
        ],
        "serial_finals": [
          [
            0,
            1
          ],
          [
            1,
            0
          ]
        ]
      },
      "scope": "Two disjoint-row transactions in a toy state machine; no database engine executed.",
      "status": "PASS"
    },
    {
      "article": 3,
      "slug": "exactly-once-effects",
      "check": "Crashes between effect and receipt writes",
      "assertions": 5,
      "witness": {
        "effect-first": [
          1,
          2,
          1
        ],
        "receipt-first": [
          1,
          0,
          1
        ],
        "atomic": [
          1,
          1,
          1
        ]
      },
      "scope": "Sequential one-operation crash positions, no concurrent transactions or external side effects.",
      "status": "PASS"
    },
    {
      "article": 4,
      "slug": "crdt-intention",
      "check": "All grow-only-set merge laws on a four-element universe",
      "assertions": 4369,
      "witness": {
        "states": 16,
        "capacity_counterexample": [
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ]
        ]
      },
      "scope": "Finite grow-only sets; not a collaborative editor implementation or proof of intention preservation.",
      "status": "PASS"
    },
    {
      "article": 5,
      "slug": "verified-systems-boundaries",
      "check": "Finite-width counter and a mismatched specification",
      "assertions": 515,
      "witness": {
        "2": 4,
        "3": 8,
        "4": 16,
        "5": 32,
        "6": 64,
        "7": 128,
        "8": 256
      },
      "scope": "Exhaustive increment traces for 2-8 bits, not verification of seL4, CertiKOS or IronFleet.",
      "status": "PASS"
    },
    {
      "article": 6,
      "slug": "weak-memory-contracts",
      "check": "Enumerated SC, store-buffer and fenced litmus models",
      "assertions": 3,
      "witness": {
        "sc": [
          [
            0,
            1
          ],
          [
            1,
            0
          ],
          [
            1,
            1
          ]
        ],
        "buffered": [
          [
            0,
            0
          ],
          [
            0,
            1
          ],
          [
            1,
            0
          ],
          [
            1,
            1
          ]
        ],
        "fenced": [
          [
            0,
            1
          ],
          [
            1,
            0
          ],
          [
            1,
            1
          ]
        ],
        "orders": [
          6,
          80,
          20
        ]
      },
      "scope": "Restricted operational models; no hardware, C++ implementation or memory-model conformance test.",
      "status": "PASS"
    },
    {
      "article": 7,
      "slug": "compiler-refinement",
      "check": "Exhaustive 8-bit rewrite and binary64 counterexample",
      "assertions": 258,
      "witness": {
        "bad_inputs": [
          255
        ],
        "float_results": [
          1.0,
          0.0
        ]
      },
      "scope": "Declared arithmetic expressions; no compiler binary or source-language undefined-behavior model.",
      "status": "PASS"
    },
    {
      "article": 8,
      "slug": "capability-memory-safety",
      "check": "Bounds, permissions and ideal generation lifetime",
      "assertions": 4,
      "witness": {
        "reused_address": 4,
        "old_generation": 1,
        "live_generation": 2
      },
      "scope": "Mathematical integers and an ideal generation model, not a CHERI emulator.",
      "status": "PASS"
    },
    {
      "article": 9,
      "slug": "microarchitectural-isolation",
      "check": "Enumerated independent binary-channel majority errors",
      "assertions": 4,
      "witness": {
        "3": 0.02800000000000001,
        "5": 0.00856,
        "7": 0.002728
      },
      "scope": "A hypothetical noisy-bit channel; no processor attack, exploit or secret collection.",
      "status": "PASS"
    },
    {
      "article": 10,
      "slug": "privacy-composition",
      "check": "Numerical RDP minimization and independent-noise variance",
      "assertions": 8,
      "witness": [
        {
          "k": 1,
          "sigma": 4,
          "closed": 1.345380442439233,
          "grid": 1.3453804424475089
        },
        {
          "k": 10,
          "sigma": 8,
          "closed": 2.1559476703363876,
          "grid": 2.1559476710706402
        },
        {
          "k": 100,
          "sigma": 16,
          "closed": 3.4806386060980823,
          "grid": 3.480638609062736
        },
        {
          "k": 1000,
          "sigma": 8,
          "closed": 28.590726703363874,
          "grid": 28.5907267107064
        }
      ],
      "scope": "Unsampled Gaussian mechanism accounting; not an empirical privacy audit or optimal analytic calibration.",
      "status": "PASS"
    },
    {
      "article": 11,
      "slug": "proof-system-costs",
      "check": "Finite-field relation versus intended integer range",
      "assertions": 3,
      "witness": {
        "field_roots": [
          3,
          98
        ],
        "range_roots": [
          3
        ]
      },
      "scope": "One polynomial relation over a tiny field; not a cryptographic proof system or security parameter.",
      "status": "PASS"
    },
    {
      "article": 12,
      "slug": "streaming-sketches",
      "check": "Toy Count-Min insertion, merge and signed-stream counterexample",
      "assertions": 13,
      "witness": {
        "positive_updates": [
          [
            0,
            3
          ],
          [
            1,
            2
          ],
          [
            4,
            5
          ],
          [
            2,
            7
          ],
          [
            7,
            1
          ]
        ],
        "signed_estimate": -2,
        "true_frequency": 3
      },
      "scope": "Fixed explicit hashes; no probabilistic hash guarantee or HyperLogLog implementation is claimed.",
      "status": "PASS"
    },
    {
      "article": 13,
      "slug": "learned-index-guarantees",
      "check": "Distribution-shift miss and exact validated fallback",
      "assertions": 2060,
      "witness": {
        "queries": 2051,
        "fallbacks": 2027,
        "stale_rank": 261,
        "true_rank": 512
      },
      "scope": "Constructed keys and toy rank predictor; not a PGM, RMI or ALEX performance benchmark.",
      "status": "PASS"
    },
    {
      "article": 14,
      "slug": "cache-admission",
      "check": "LRU scan pollution and an exact-frequency admission toy",
      "assertions": 2,
      "witness": {
        "post_scan_hits": {
          "LRU": 0,
          "toy_gate": 4
        },
        "new_hot_tail_hits": 4
      },
      "scope": "Exact unbounded counts and strict admission comparison; not an implementation of TinyLFU, ARC or LeCaR.",
      "status": "PASS"
    },
    {
      "article": 15,
      "slug": "tail-latency",
      "check": "Independent fan-out enumeration and an overload boundary",
      "assertions": 10,
      "witness": {
        "hundred_branch_probability": 0.6339676587267709,
        "unstable_utilization": 1.0
      },
      "scope": "Independent binary branch events and M/M/1 load accounting; no service trace.",
      "status": "PASS"
    },
    {
      "article": 16,
      "slug": "erasure-repair",
      "check": "All ten three-of-five finite-field reconstructions",
      "assertions": 61,
      "witness": {
        "field": 101,
        "fragments": [
          [
            1,
            21
          ],
          [
            2,
            41
          ],
          [
            3,
            67
          ],
          [
            4,
            99
          ],
          [
            5,
            36
          ]
        ],
        "constant_terms": [
          7,
          9
        ]
      },
      "scope": "Tiny Reed-Solomon-style interpolation; no storage device, repair codec or durability estimate.",
      "status": "PASS"
    },
    {
      "article": 17,
      "slug": "congestion-feedback",
      "check": "Fluid queue conservation and rate-equality invariants",
      "assertions": 10,
      "witness": {
        "peak_bytes": 1000.0,
        "final_bytes": 0,
        "eight_two_Jain": 0.7352941176470589
      },
      "scope": "Piecewise fluid arrivals and equal-weight rate fairness; no transport protocol executed.",
      "status": "PASS"
    },
    {
      "article": 18,
      "slug": "serverless-state",
      "check": "Equal average arrival rates with different cold fractions",
      "assertions": 2,
      "witness": {
        "mean_gap": 10,
        "timeout": 20,
        "regular_cold": 0.0,
        "bursty_cold": 0.1,
        "Poisson_prediction": 0.1353352832366127
      },
      "scope": "One environment, negligible service and declared interarrival gaps; initial arrival excluded.",
      "status": "PASS"
    },
    {
      "article": 19,
      "slug": "llm-serving-budgets",
      "check": "KV and page accounting plus online-softmax numerical comparison",
      "assertions": 15,
      "witness": {
        "bytes_per_token": 131072,
        "page_tail_slots": 32,
        "largest_absolute_error": 2.220446049250313e-16,
        "attention_cases": 8
      },
      "scope": "Small binary64 NumPy arrays; not a FlashAttention GPU kernel, serving engine or throughput benchmark.",
      "status": "PASS"
    },
    {
      "article": 20,
      "slug": "benchmark-causal-validity",
      "check": "Covariance calculation, workload reversal and unit invariance",
      "assertions": 6,
      "witness": {
        "variance": [
          {
            "runs": 2,
            "iterations": 3,
            "direct": 18.666666666666664,
            "formula": 18.666666666666668
          },
          {
            "runs": 5,
            "iterations": 4,
            "direct": 5.800000000000001,
            "formula": 5.8
          },
          {
            "runs": 10,
            "iterations": 2,
            "direct": 5.399999999999999,
            "formula": 5.4
          }
        ],
        "unmatched_means": [
          9.1,
          3.0
        ],
        "matched_means": [
          5.5,
          7.0
        ]
      },
      "scope": "Constructed statistics; no empirical confidence interval or product performance comparison.",
      "status": "PASS"
    }
  ],
  "scope": "Finite models, mathematical counterexamples and deterministic numerical checks only; not independent peer review, product verification, or empirical system benchmarks."
}