{
  "campaign_id": "CSM_RH_Campaign_44",
  "version": "0.1",
  "target": "PESC_TRIANGULAR_LAG_KERNEL_ATTACK",
  "root_frontier": "F-RH-010",
  "secondary_frontier": "F-RH-016",
  "inherited_bridges": [
    "B-RH-029",
    "B-RH-030",
    "B-RH-031"
  ],
  "next_track": "PK1",
  "attack_tracks": [
    "EXACT_PESC_TRIANGULAR_KERNEL_NORMALIZATION",
    "ROOT_SPECTRAL_REPRESENTATION",
    "TRANSLATED_WINDOW_SYNTHESIS",
    "CENTERED_LAMBDA_PRIME_ONLY_BRIDGE",
    "FIXED_POWER_PESC_ADMISSION"
  ],
  "PK1_required_checks": [
    "expand PESC exactly as a positive-lag autocorrelation with the full w_N position weight",
    "separate diagonal and endpoint terms without replacing signed correlations by absolute values",
    "identify the precise lag range and position dependence of the triangular kernel",
    "derive a root-observing Fourier or Mellin representation if available",
    "preserve the low-frequency mode rather than excising it",
    "compare any translated-window synthesis condition number against the fixed-power ledger",
    "keep proper prime powers explicit until the existing O(N^(5/2+o(1))) bridge is invoked",
    "do not return to componentwise Heath-Brown big-O as a substitute for root control"
  ],
  "hard_rejections": [
    "NON_ROOT_OBSERVING_FIXED_POWER_TRANSFORM",
    "LOW_FREQUENCY_EXCISION_WITHOUT_RECOVERY",
    "LOGARITHMIC_TO_FIXED_POWER_PROMOTION",
    "POWER_SIZED_KERNEL_RECONSTRUCTION_LOSS",
    "HIDDEN_FIXED_ZERO_FREE_STRIP",
    "HIDDEN_FIXED_POWER_PNT_OR_MERTENS",
    "COMPONENTWISE_HEATH_BROWN_LOOP_WITHOUT_NEW_ROOT_BRIDGE"
  ],
  "automatic_promotion": false
}