{
  "campaign_id": "CSM_RH_Campaign_44",
  "version": "0.3",
  "target": "PESC_TRIANGULAR_LAG_KERNEL_ATTACK",
  "root_frontier": "F-RH-010",
  "secondary_frontier": "F-RH-016",
  "closed_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"
  },
  "next_track": "PK4",
  "PK4_target": "CENTERED_LAMBDA_PRIME_ONLY_BRIDGE",
  "PK4_exact_input": "M_N(t)=sum_{m<2N}(1_P(m) log m - 1) omega_{N,t}(m)",
  "PK4_required_checks": [
    "preserve the exact centered weight omega_{N,t}(m)",
    "retain the m<=N aggregate branch rather than replacing it by a tail-only Dirichlet polynomial",
    "if splitting prime and deterministic background pieces, keep their cross term until bounded",
    "do not replace prime-only theta increments by von Mangoldt prime powers without pricing the prime-power correction",
    "obtain a fixed N-power rather than a logarithmic saving",
    "work on the polynomial middle band N^{-kappa} <= |t| <= N^kappa",
    "when using Gaussian translated windows, retain all endpoint-centering terms from B-RH-041",
    "do not assume a fixed zero-free strip or fixed-power PNT remainder"
  ],
  "hard_rejections": [
    "DROP_ENDPOINT_CENTERING_TERMS",
    "TAIL_ONLY_REPLACEMENT_WITHOUT_AGGREGATE_RECOVERY",
    "PRIME_TO_VON_MANGOLDT_SUBSTITUTION_WITHOUT_PRIME_POWER_LEDGER",
    "LOGARITHMIC_TO_FIXED_POWER_PROMOTION",
    "HIDDEN_FIXED_ZERO_FREE_STRIP",
    "REOPEN_COMPONENT_WEIGHT_SMALLNESS_ROUTE"
  ],
  "automatic_promotion": false
}