{
  "project": "CSM_RH",
  "paper": 47,
  "version": "0.1",
  "date": "2026-09-07",
  "state_transition": "v1.37 -> v1.38",
  "campaign": "43",
  "tracks": "WL4 CROSS_J_PRE_SQUARE_RECOMBINATION; WL5 ROOT_RECOUPLING_COMPARISON",
  "status": "PASS",
  "checks": {
    "utf8_all_source_files": true,
    "nul_bytes_absent": true,
    "json_parse": true,
    "csv_parse": true,
    "canonical_math_delimiters_only": "$...$ and $$...$$",
    "backslash_math_delimiters_absent": true,
    "unicode_math_operator_substitution_absent": true,
    "math_delimiters_balanced": true,
    "numeric_small_scale_cross_j_identity_check": true,
    "numeric_pesc_lag_identity_check": true,
    "root_claims": {
      "RH_PROVED": false,
      "RH_DISPROVED": false,
      "GLOBAL_RH_CERTIFICATE": false
    },
    "wl4_closure": "CLOSED_AS_EXACT_BINOMIAL_RECOMBINATION_TO_THE_ORIGINAL_LAMBDA_RESIDUAL_WITHOUT_POWER_GAIN",
    "wl5_closure": "CLOSED_AS_ROOT_RECOUPLING_WITHOUT_A_NEW_FIXED_POWER_THEOREM",
    "campaign_43_closure": "CLOSED_AS_COMPONENT_MECHANISMS_EXHAUSTED_AND_EXACTLY_RECOUPLED_TO_ROOT_PRIME_ERROR",
    "next": "Campaign 44 / PK1 EXACT_PESC_TRIANGULAR_KERNEL_NORMALIZATION",
    "fixed_power_proved": false,
    "automatic_root_promotion": false
  },
  "new_certified_ids": [
    "B-RH-029",
    "B-RH-030",
    "B-RH-031",
    "O-RH-121",
    "O-RH-122",
    "O-RH-123",
    "O-RH-124"
  ],
  "notes": [
    "WL4 proves an exact convolution recombination identity, not a fixed-power analytic estimate.",
    "Dyadic overlap is established at output-product scale, while exact cancellation remains global after multiplicative pushforward.",
    "WL5 recouples ownership to the existing root frontiers and explicitly preserves the Lambda-sharp model-to-root gap.",
    "External literature is calibration only and is not promoted to a fixed-X-power PESC theorem."
  ]
}