{
  "project": "CSM_RH",
  "version": "1.42",
  "date": "2026-09-08",
  "root": {
    "RH_PROVED": false,
    "RH_DISPROVED": false,
    "GLOBAL_RH_CERTIFICATE": false,
    "status": "OPEN"
  },
  "campaign_44": {
    "status": "ACTIVE",
    "fixed_power_proved_unconditionally": false,
    "tracks": {
      "PK1": "CLOSED_AS_EXACT_LAG_POSITION_NORMALIZATION_WITH_PREFIX_GRAM_COMPLETION",
      "PK2": "CLOSED_AS_EXACT_BROWNIAN_SPECTRAL_REPRESENTATION_WITH_LOW_MODE_PRESERVED",
      "PK3": "CLOSED_AS_POWER_SAFE_LOG_BROWNIAN_TO_CENTERED_MELLIN_ROOT_SYNTHESIS",
      "PK4": "CLOSED_AS_FIXED_POWER_PRIME_POWER_REMOVAL_AND_EXACT_CENTERED_ABEL_ROOT_ERROR_BRIDGE",
      "PK5": "ACTIVE_FIXED_POWER_PESC_ADMISSION"
    },
    "pk5_subtracks": {
      "Z1": "CLOSED_AS_POLYNOMIAL_HEIGHT_EXPLICIT_FORMULA_WITH_MIDDLE_BAND_ADMISSIBLE_REMAINDER",
      "Z2": "CLOSED_AS_EXACT_DISCRETE_CENTERED_ZERO_ORDINATE_RESPONSE_WITH_KUSMIN_LANDAU_LOCALIZATION",
      "Z3": "ACTIVE_ZERO_WINDOW_GRAM_AND_ZERO_DENSITY_CROSS_TERM_AUDIT",
      "Z4": "OPEN_OFF_CRITICAL_ANTI_CANCELLATION_OR_CRITICAL_LINE_ADMISSION"
    }
  },
  "bridges_added": [
    {
      "id": "B-RH-044",
      "name": "PESC_CENTERED_ABEL_POLYNOMIAL_HEIGHT_EXPLICIT_FORMULA_WITH_ADMISSIBLE_REMAINDER",
      "status": "CERTIFIED"
    },
    {
      "id": "B-RH-045",
      "name": "PESC_EXACT_DISCRETE_CENTERED_ZERO_ORDINATE_RESPONSE_KERNEL",
      "status": "CERTIFIED"
    }
  ],
  "obstructions_added": [
    {
      "id": "O-RH-129",
      "name": "CLASSICAL_ZERO_FREE_REGION_PLUS_ABSOLUTE_ZERO_RESPONSE_SUMMATION_HAS_NO_FIXED_POWER",
      "status": "CERTIFIED_AS_PK5_METHOD_BARRIER"
    }
  ],
  "conditional_results": [
    {
      "name": "RH_IMPLIES_PK5_MIDDLE_BAND_ADMISSION",
      "statement": "Under RH, E_Lambda(N,kappa) << N^{-kappa} log^4 N for every fixed 0<kappa<=1.",
      "status": "CONDITIONAL_THEOREM_NOT_ROOT_CERTIFICATE"
    }
  ],
  "next": {
    "track": "PK5/Z3",
    "target": "ZERO_WINDOW_GRAM_AND_ZERO_DENSITY_CROSS_TERM_AUDIT"
  }
}