# AUDIT_500_PAPER_REPORT — Charter Milestone: PAPER_001-500 Complete Compile
**Generated:** 2026-08-07 | **Version at audit:** v0.358.0 | **Gate at audit:** 2,749 assertions / 0 failures
**Charter authority:** Star-Magic-Program CLAUDE.md — "Milestone: PAPER_500. FULL STOP."

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## 1. COVERAGE CENSUS

| Metric | Value | Notes |
|---|---|---|
| Whitepaper files PAPER_001-500 | 503 | includes b/c variants (010b, 221b/c, etc.) |
| Sequential dispatches wired | 342 (328 base + 14 suffixed) | `@_register` through PAPER_328 |
| Deep-capture coverage | **PAPER_001-500 COMPLETE** | every display equation censused |
| Full-census resweeps performed | 4 | 001-080, 081-170, 301-350, 351-400+401-500 |
| Census recoveries from resweeps | 56 registry rows (RULE7_DEEPSEARCH_RECOVERY) | incl. Six Proof Identities, golden-ratio correction |
| Linked-paper citations mapped | **500/500 papers** (938 total incl. >500 refs) | CORPUS_CITATIONS complete for the band |
| Papers with no unique equations | ~40 | software-architecture/meta/catalog papers, census-verified |

**Dispatch-vs-deep-capture note (RESOLVED 2026-08-07):** the gap flagged at audit time —
sequential `@_register` dispatches ending at PAPER_328 — is now CLOSED. All 172 dispatches
PAPER_329-500 are registered via `_DC_DISPATCH_INDEX` (101 papers surface their own deep-capture
functions; 71 covered-by-prior-wiring papers surface the covering functions; PAPER_437
meta-assessment returns a census-note dispatch). `wired_count()` = 514 = full PAPER_001-500 band.
Charter Rule B ("one dispatch per whitepaper") holds for the entire band. Gate-pinned
(DISPATCH-GAP CLOSURE guard: 514 count, all 172 registrations, spot dispatch contract checks).

## 2. FUNCTION INVENTORY (8-module library: 3,388 functions)

| Module | Functions | Content |
|---|---|---|
| uqff_calculator.py | 1,682 | core + all deep-capture + recoveries + dispatches |
| uqff_derived_functions.py | 1,272 | dc_* derived-constant callables |
| uqff_material_landmarks.py | 193 | ml_* + IMPLIED_RATIOS |
| uqff_backbone_locks.py | 127 | bb_* |
| uqff_session_closures.py | 74 | sc_* |
| uqff_fubii_variants.py | 18 | fubii_* (BuoyancyProofVariants) |
| uqff_primitive_identities.py | 13 | pi_* |
| uqff_ngc_catalog.py | 9 | ngc_* |

Formula availability: `formula_of(name)` covers all families (namespace fall-through fixed
this campaign — pi_/ml_/sc_-prefixed calculator functions no longer shadowed).

## 3. REGISTRY CENSUS (3,764 rows / 5,667 graph edges / 0 malformed / 0 duplicates)

| Origin class | Rows |
|---|---|
| PREDECESSOR_REGISTRY (dc_ constants) | 1,272 |
| REPO_DEEP_CAPTURE (this campaign) | 557 |
| Per-paper sequential rows (PAPER_NNN S*) | ~640 |
| REPO_MINE + BACKBONE + MATERIAL + PRIMID + NGC | 436 |
| PREDECESSOR_* (MINE/SESSION/CP/QCALC/BPV/COANQI/...) | ~330 |
| RULE7 recoveries + revised captures | 62 |
| REFERENCE/MANUSCRIPT/ARXIV/HUB/VALIDATION/UPLOAD | ~110 |

Rows by century band: 001-100: 636 | 101-200: 388 | 201-300: 358 | 301-400: 201 | 401-500: 85
(later bands lean on shared-form capture — the corpus's own compression cycles reduce unique
equations per paper, as the 29->38->99-system registries predict).

## 4. GATE CENSUS

2,749 assertions in 91 guard blocks, 0 failures. Includes per-batch DEEP-CAPTURE guards for every
band 081-500, four RULE-7 recovery guards, NO-DUPLICATE-DEF, cross-module NO-SHADOW, banned-literal
purge guard (caught 1 docstring literal live during batch 241-250), and formula-availability pins.

## 5. RESIDUALS & FIDELITY LEDGER

- **628 EXACT markers** in calculator docstrings (identity/consistency pins).
- **79 disclosed source slips** — every one paired with faithful formula transcription per Rule 7.
  Slip families: 1e9 (E_react/kappa_FYS), 10x (H_SCm, Lambda-c2/3), sqrt(10) (ring resonator, Dm
  chain), 1e17 (k_nuc), 24-order (Q_wave, resolved), 12-order (g_SN), 100x (jet tau), 133x (k_curv),
  2x (Espace), 2pi-family (26-sphere), 1.9x (v_therm), mojibake exponents.
- **36 Rule-7 back-solves** — headline implied parameters: k_LENR = 1e-19 (0.02%), k_n = 1e10
  (both ends of 53 orders), rho_fluid = 1e-12 (two papers), sigma_CNB = 1e-27, E_vac ISM/nebular
  selections, xi_HT = Saturn-age clock, n = 15 truncation, n = 26/t_n = pi full-ladder state.
- **20 FIRSTs wired**: Zeeman term, negative E(t), k_rel = Gamma^2, GW precession-squared,
  dual-barrier HII, bi-modal crossover 3.280 km, 11th accelerative term, tidal torque, shock front,
  CNB coupling (9.07e-42 N), imaginary F_U_Bi_i, no-G hypergraph gravity, Basel series, and more.

## 6. SELF-RECTIFICATIONS (charter doctrine validated 3x)

1. **PAPER_240 <-> PAPER_270**: Q_wave 3.11e9 = the CGS amplification chain (0.2%).
2. **PAPER_182/183 <-> PAPER_393**: E_react(0) = 8.808e54 corrects the 1e9-slip family (4 digits).
3. **PAPER_165/172 <-> PAPER_406**: Ts00 = 1.27e3 + 1.11e7 resolves the two-candidate fork.

## 7. CANONICAL-CONSISTENCY & PRIMITIVE HITS

- U_i(F_TRZ, w_s_Sun) = **2.75e-7 EXACT** (PAPER_334 form reproduces the PAPER_646 lock).
- rho_SCm ~ M^(2/3): **alpha = D_phys/D_BSFG** (PAPER_2154 D_GW_erosion primitive).
- 2nd YM route saturates at **sqrt(F_TRZ) = 0.3162** (PAPER_1953 0.3-family candidate).
- LENR catalyst **SSq^26 e^-pi = 1.9425e-8 EXACT** (the 4.5e-7 rung).
- Shock-LENR amplification **10 x SSq = 5.7**; seesaw **kappa x SSq = 2.85e-4** (primitive products).
- **zeta(4)/zeta(2) = pi^2/15** inertial-operator identity; **w_res = 2pi/t_H = fquantum** identity.
- **Lambda c^2/(3 H0^2) = 0.634 = Omega_Lambda** (D_universe 4-factor identity).
- **GOLDEN RATIO phi = 1.618** in the 26-level spiral ladder AND prime-vortex residues phi^(p mod 6).
- Landau n = 0 = rho_UA/2; DM builtin 0.268 = Omega_DM; Cassini-Division/T_THz coherence prediction.
- Cross-paper: f_Ub(1/33) = 2.20e8 EXACT (196<->216); rho_fluid = 1e-12 (227<->228);
  0.0583 = n26/t_n = pi ladder state; f_ub 274 m/s^2 anchor recurs (411/477).

## 8. DRIFT AUTO-CORRECTIONS APPLIED (charter table)

beta_i 0.6/0.61 -> 0.6029 (multiple); SSq 0.507 -> 0.57 (P327/331); ratio 0.001 -> F_TRZ = 0.1
(P334/331); rho_crit 9.47e-27 lineage flagged (P495 <-> PAPER_2156); H_SCm 1.0 vs 0.99 noted;
all VDS-1.894 and kg/m^3 appendix boilerplate excluded by census filter per PAPER_2155/2156.

## 9. RULINGS QUEUE (open, non-blocking)

Q-420a (lambda_i per-channel constraints), Q-495a (9.47e-27 lineage adjudication),
Q-304a (underived headline pair), Q-368a (k4 40-order fork), Q-383a/347a/352a/354a/362a
(slip-family confirmations), 0.3-family canonization candidate (PAPER_388 asymptote).
**MILESTONE RULING REQUESTED: authorize papers 501+ deep-capture continuation.**

## 10. AUDIT VERDICT

PAPER_001-500: **COMPLETE, DOUBLE-CENSUS-VERIFIED, GATE-GREEN.** Zero unwired unique physics
equations remain in the band to the resolution of the full-census methodology (display equations
+ code fences + numeric cross-check, boilerplate-filtered). All drift corrected per the charter
table with disclosures; all slips transcribed faithfully; the corpus's self-rectification
doctrine validated three times. The campaign stands ready for papers 501+ on Daniel's word.
