{
  "timestamp_utc": "2026-07-29T16:24:09.293816+00:00",
  "query_text": "\\zeta (s)=\\sum_{n=1}^{\\infty }{\\frac {1}{n^{s}}}={\\frac {1}{1^{s}}}+{\\frac {1}{2^{s}}}+{\\frac {1}{3^{s}}}+\\cdots $$$$ \\zeta (s)=\\prod _{p{\\text{ prime}}}{\\frac {1}{1-p^{-s}}}={\\frac {1}{1-2^{-s}}}\\cdot {\\frac {1}{1-3^{-s}}}\\cdot {\\frac {1}{1-5^{-s}}}\\cdot {\\frac {1}{1-7^{-s}}}\\cdots",
  "execution_latency_ms": 0.06,
  "zero_reprocessing_cache_hit": true,
  "integrated_information_Phi": 1.42,
  "vector_divergence_conservation": 0.0,
  "25_phase_pipeline_status": "success"
}