evidence/v126/g2_spectral_pilot/Manuscript remained v1.11 at this checkpoint (September 20, 2026) — numerical spectral pilot of the actual finite Weil matrix with the repaired prolate source. A g2_* directory by name, but its scripts state “Numerical evidence only … not rigorous error enclosures” and “Not a certificate”.
The files here are byte-identical to evidence/v124/g2_spectral_pilot/.
Start here: G2_Spectral_Pilot_Report.md, research_checkpoint.md
G2_Spectral_Pilot_Report.md (15 KB) — G2 finite Weil spectral pilotaudit_g2_spectral.py (2 KB) — Reproduce refinement and direct-correlation checks after the pilot runs.check_g2_endpoint_moments.py (3 KB) — Independent exact polynomial Mellin integration of the Galerkin source. The moment formula is exact for the finite Legendre polynomial.check_g2_spectral.py (10 KB) — Actual finite Weil matrix / repaired prolate source pilot. Numerical evidence only: quadrature and Galerkin comparisons are not rigorous error enclosures.check_g2_spectral_mp.py (6 KB) — High-precision continuation of the actual Weil/source experiment. All estimates are numerical, not interval certified. Requires the companion check_g2_spectral.py.check_g2_spectral_wide.py (3 KB) — N=64 refinement; both parity sectors retained. Not a certificate.g2_direct_form_checks.json (1 KB) — (no description in file)g2_endpoint_moment_checks.json (8 KB) — (no description in file)g2_spectral_checks.json (28 KB) — (no description in file)g2_spectral_mp_checks.json (2.2 MB) — (no description in file)g2_spectral_pilot_validation.json (2 KB) — (no description in file)g2_spectral_refinement_differences.json (836 B) — (no description in file)g2_spectral_wide_checks.json (2 KB) — (no description in file)research_checkpoint.md (7 KB) — Current research checkpoint: September 20, 2026 — actual finite Weil spectral pilot; manuscript remains v1.11