{
  "timestamp_utc": "2026-07-29T02:50:45.000052+00:00",
  "query_text": "$$\\iint_M K \\, dA + \\int_{\\partial M} k_g \\, ds = 2\\pi \\chi(M)$$",
  "execution_latency_ms": 237.56,
  "zero_reprocessing_cache_hit": false,
  "integrated_information_Phi": 1.42,
  "vector_divergence_conservation": -0.2924258285662406,
  "25_phase_pipeline_status": "success"
}