1{
 2  "seed": 7,
 3  "math_check": {
 4    "max_rh_identity_error": 0.0,
 5    "mean_rh_identity_error": 0.0,
 6    "identity_pass": true
 7  },
 8  "records": [
 9    {
10      "N": 64,
11      "dt": 0.005555555555555556,
12      "steps": 36,
13      "baseline_front_L1": 0.014680032565139063,
14      "idea_front_L1": 1.785358647708022e-16,
15      "baseline_field_L1": 0.010200123643756122,
16      "idea_field_L1": 0.0
17    },
18    {
19      "N": 128,
20      "dt": 0.0027397260273972603,
21      "steps": 73,
22      "baseline_front_L1": 0.007597704173461116,
23      "idea_front_L1": 2.0479113900180252e-16,
24      "baseline_field_L1": 0.0041951512082970014,
25      "idea_field_L1": 0.0
26    },
27    {
28      "N": 256,
29      "dt": 0.0013698630136986301,
30      "steps": 146,
31      "baseline_front_L1": 0.003733862658117769,
32      "idea_front_L1": 1.820539184257782e-15,
33      "baseline_field_L1": 0.0023225362896650793,
34      "idea_field_L1": 0.0
35    }
36  ],
37  "one_step_scaling": [
38    {
39      "dt": 0.002,
40      "abs_position_error": 0.0
41    },
42    {
43      "dt": 0.004,
44      "abs_position_error": 0.0
45    },
46    {
47      "dt": 0.008,
48      "abs_position_error": 0.0
49    }
50  ],
51  "note": "Front-token field uses exact local traces on a clean Riemann shock; no learned residual is needed in this deliberately minimal case."
52}