{
  "node": "RH-RefinedSingularSeries-Parallelogram v3.7",
  "status": {
    "zero_mode": "CLOSED",
    "finite_conductor_model": "POWER_SAVED",
    "high_conductor_tail": "OPEN",
    "full_model_eta_positive": false,
    "prime_deviation_eta_positive": false
  },
  "finite_modulus_theorem": {
    "object": "K4_q(h,d)",
    "mean": 0,
    "fourier_zero_mode": 0
  },
  "weighted_discrepancy": {
    "condition": "squarefree q <= N",
    "bound": "N^4 q (q/phi(q))^3"
  },
  "primorial_truncation": {
    "y": "theta log N",
    "bound": "N^(4+theta+o(1))",
    "truncated_eta": "1-theta"
  },
  "canonical_open_gap": {
    "name": "PHCT_eta",
    "object": "high-conductor tail T_4,N(y)",
    "warning": "logarithmic tail saving is not fixed-power progress"
  },
  "automatic_reject": [
    "generic R4 average applied directly to parallelogram family",
    "Wick pairings used as pointwise identity",
    "finite-modulus saving promoted to full singular-series saving",
    "1/log N tail promoted as fixed eta",
    "zero-mode cancellation promoted as RH progress"
  ],
  "next_node": "RH-Parallelogram-RamanujanTail v3.8",
  "trust": {
    "rh_claim": false
  }
}