{
  "seed": 7,
  "math_check": {
    "max_rh_identity_error": 0.0,
    "mean_rh_identity_error": 0.0,
    "identity_pass": true
  },
  "records": [
    {
      "N": 64,
      "dt": 0.005555555555555556,
      "steps": 36,
      "baseline_front_L1": 0.014680032565139063,
      "idea_front_L1": 1.785358647708022e-16,
      "baseline_field_L1": 0.010200123643756122,
      "idea_field_L1": 0.0
    },
    {
      "N": 128,
      "dt": 0.0027397260273972603,
      "steps": 73,
      "baseline_front_L1": 0.007597704173461116,
      "idea_front_L1": 2.0479113900180252e-16,
      "baseline_field_L1": 0.0041951512082970014,
      "idea_field_L1": 0.0
    },
    {
      "N": 256,
      "dt": 0.0013698630136986301,
      "steps": 146,
      "baseline_front_L1": 0.003733862658117769,
      "idea_front_L1": 1.820539184257782e-15,
      "baseline_field_L1": 0.0023225362896650793,
      "idea_field_L1": 0.0
    }
  ],
  "one_step_scaling": [
    {
      "dt": 0.002,
      "abs_position_error": 0.0
    },
    {
      "dt": 0.004,
      "abs_position_error": 0.0
    },
    {
      "dt": 0.008,
      "abs_position_error": 0.0
    }
  ],
  "note": "Front-token field uses exact local traces on a clean Riemann shock; no learned residual is needed in this deliberately minimal case."
}