{
  "status": "PASS",
  "checks": [
    "Identical logs, different optimal actions",
    "Backup recurrence closed form",
    "Importance mean and variance",
    "Zero perturbation and zero-support controls"
  ],
  "empirical_benchmark": false,
  "source_proofs_verified": false,
  "figures": [
    {
      "id": "backup-error",
      "kind": "analytical_curve",
      "caption": "Exact author-constructed persistent perturbation recurrence e_(t+1)=.1+gamma e_t, e0=0. No agent training or measured return.",
      "x": {
        "name": "Backup iterations t",
        "values": [
          0,
          1,
          2,
          5,
          10,
          20,
          50,
          100
        ]
      },
      "series": [
        {
          "name": "gamma=0.5",
          "values": [
            0.0,
            0.1,
            0.15000000000000002,
            0.19375,
            0.19980468750000002,
            0.19999980926513672,
            0.19999999999999984,
            0.2
          ]
        },
        {
          "name": "gamma=0.9",
          "values": [
            0.0,
            0.1,
            0.19,
            0.40951000000000004,
            0.6513215599000001,
            0.878423345409431,
            0.9948462247926801,
            0.9999734386011127
          ]
        },
        {
          "name": "gamma=0.99",
          "values": [
            0.0,
            0.1,
            0.19900000000000012,
            0.4900995010000005,
            0.9561792499119551,
            1.8209306240276908,
            3.9499393286246334,
            6.339676587267704
          ]
        }
      ]
    },
    {
      "id": "importance-variance",
      "kind": "analytical_curve",
      "caption": "Exact author-constructed one-step importance-estimator variance, fixed reward one, target action a1, behavior probability epsilon>0. No trajectory benchmark.",
      "x": {
        "name": "Behavior probability epsilon",
        "values": [
          0.01,
          0.02,
          0.05,
          0.1,
          0.2,
          0.5,
          1.0
        ]
      },
      "series": [
        {
          "name": "One-observation estimator variance",
          "values": [
            99.0,
            49.0,
            19.0,
            9.0,
            4.0,
            1.0,
            0.0
          ]
        }
      ]
    }
  ],
  "verification_code_sha256": "170f9054351f476487ddcdc793e51d5417d41098aec8a62e6df0bf5d42a5cf5c",
  "execution_date": "2026-10-28",
  "standalone_no_filesystem_mutation_verified": true
}