{
  "n": 800,
  "semantically_acceptable": 456,
  "naive_prefix_false_rejections": 62,
  "certified_prefix_false_rejections": 0,
  "shuffled_anchor_rejects_semantically_acceptable": 0,
  "shuffled_anchor_accepts_semantically_unacceptable": 344,
  "phase_norm_max_abs_error": 4.440892098500626e-16,
  "interpretation": "Random unit-modulus phase codes applied to a unitary Fourier transform preserve squared residual norm; therefore they add no information to this digital gate. Shuffling target labels changes the capability contract, not just the code. Naive prefix loss can reject slow starters; a valid tail certificate is essential."
}