{
  "node": "RH_PositiveKernel_SelbergComparison_v3.4",
  "decision": "REPRESENTATION_CLOSURE",
  "canonical_positive_object": "Cauchy/tent energy p=1",
  "classical_comparator": "normalized PNT mean square I(X)/X^2",
  "fixed_exponent_strength": "equivalent",
  "local_comparison": {
    "upper": "C_h(t) <= 2(h+1)^2 integral_window |e|^2",
    "universal_lower": false,
    "lower_no_go_reason": "local homogeneous mode e'+e/2=0"
  },
  "global_comparison": {
    "full_center_two_sided": true,
    "exponentially_weighted_two_sided": true,
    "symbol": "S_h(xi)=(xi^2+1/4) Hhat_h(xi)"
  },
  "autonomous_reject": [
    "new RH-equivalent positive representation without arithmetic strength gain",
    "short-interval saving without aperture normalization",
    "numerical symbol bounds promoted as arithmetic progress"
  ],
  "next_target": "I(X) << X^(3-kappa+o(1)) for some kappa>0",
  "trust": {
    "rh_claim": false
  }
}