{
  "candidate_type": "RH_ARITHMETIC_INNOVATION_ENERGY_LYAPUNOV",
  "version": "v2.9",
  "aperture": "fixed h",
  "strength": {
    "sigma": null,
    "baseline_sigma": 0.5,
    "breakthrough_condition": "sigma < 0.5",
    "rh_scale": "sigma = 0"
  },
  "state": {
    "innovation_measure": "dI = weighted prime log measure - exp(t/2) dt",
    "innovation_primitive": "b(t)",
    "critical_centered_moments": 14,
    "energy_state_required": true
  },
  "allowed_routes": [
    "local mean-square innovation bound",
    "direct Cauchy energy bound",
    "energy-aware flow/jump Lyapunov"
  ],
  "automatic_reject": [
    "pointwise PNT bound with no fixed-exponent improvement",
    "innovation magnitude only claiming sigma < 1/2",
    "zero-density argument allowing one rightmost exceptional zero",
    "logarithmic/subpower saving promoted as fixed sigma improvement",
    "finite numerical stability promoted as tail theorem"
  ],
  "proof_obligations": {
    "innovation_centering_exact": "CLOSED",
    "energy_coercivity": "OPEN_PER_CANDIDATE",
    "flow_or_work_inequality": "OPEN_PER_CANDIDATE",
    "event_inequality": "OPEN_PER_CANDIDATE",
    "sigma_translation": "REQUIRED"
  },
  "trust": {
    "rh_claim": false
  }
}