{
  "model": {
    "scalar_trace": "integral exp(r) f(r) dr",
    "correct_coordinate": "p = -r - log(2*pi)",
    "test_function": "F = indicator_[0,1]",
    "exact_preimage": [
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    "omitted_shift_trace_exact": "1-exp(-1)",
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      [
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        2
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    "C": [
      [
        "2",
        "i"
      ],
      [
        "-i",
        "4"
      ]
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    "commutator_11_exact": "-2i",
    "ordered_identity": "(C^(it) B^(-it)) B^(it) = C^(it)",
    "reversed_residual_norm": "Frobenius",
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  },
  "interpretation": "Exact zero follows algebraically; floating residual checks numerical implementation. Reversed-order samples are not a uniform lower bound.",
  "software": {
    "numpy": "2.4.4",
    "matplotlib": "3.10.9"
  }
}
