{
  "timestamp_utc": "2026-07-30T19:39:16.779740+00:00",
  "query_text": "f(n) = \\begin{cases} n/2 & \\text{if } n \\equiv 0 \\pmod{2} \\\\ 3n + 1 & \\text{if } n \\equiv 1 \\pmod{2} \\end{cases}\n",
  "execution_latency_ms": 263.57,
  "zero_reprocessing_cache_hit": false,
  "information_capacity_C_geom": 1.42,
  "vector_divergence_conservation": 0.8720411180714125,
  "25_phase_pipeline_status": "success"
}