# Verification report

General proof: main.tex contains complete arguments for the stated rational-p restriction, C^2 classification, dense exceptional spectrum, geometry and C^3 construction. The originating researcher performed a detailed self-audit recorded in the linked dossier. The broad AIM source is not marked solved.

The checker has 16,032 successful checks in both normal and optimized Python runs; outputs agree byte for byte. Exact tests use integers, fractions and Q(sqrt(3)). They include 5,184 rational critical-exponent exclusions, 87 unique exceptional indices, 1,176 determinant identities, 21 dependent-index cases, 900 integer multiplier tests and 900 multiplier identities, 6,416 derivative-bound tests, 11 C^3 basis tests, and field-arithmetic checks. The one remaining check is an 80-digit mpmath norm regression, explicitly not a certified interval enclosure.

The infinite-parameter theorems, irrational-density conclusion, openness, smoothness and entire-curve result follow from the written analytic proofs, not the finite tests. No proof assistant was used.

The manuscript was compiled using the desktop LaTeX compiler and Tectonic. Final page-image inspection and source hashes are recorded in the package readiness receipt; only the final checked package may be published. Source bibliography is inline. Uploaded source code contains no downloaded third-party PDF.

Review status: self-audited, not independent human review. Novelty comparison is bounded, not an absolute-priority certificate. Original source classification: PARTIAL_RESULT; complete theorem scope: yes.