{
  "status": "PASS",
  "corner_theorem": "A fixed kernel has a multi-affine channel residual; row-TV is separately convex. Its box maximum occurs at parameter corners.",
  "quantifier_counterexample": {
    "pointwise_worst_deficiency": 0.0,
    "one_common_kernel_minimax_tv": 0.5,
    "q": 2,
    "source_box": [
      [
        1,
        1
      ],
      [
        1,
        1
      ]
    ],
    "target_box": [
      [
        0,
        1
      ],
      [
        0,
        0
      ]
    ]
  },
  "degenerate_box_checks": [
    {
      "q": 2,
      "robust_value": 0.0949999999999999,
      "formula": 0.09499999999999997
    },
    {
      "q": 3,
      "robust_value": 0.16000000000000003,
      "formula": 0.16000000000000003
    },
    {
      "q": 5,
      "robust_value": 0.128,
      "formula": 0.128
    }
  ],
  "interior_checks": 1000,
  "robust_q3_box_value": 0.1856432510622909,
  "max_sampled_interior_value": 0.1832311606098727,
  "kernel_stochasticity_residual": 1.1102230246251565e-16,
  "hardware_calibration_coverage_established": false
}