Round 2 verification audit for C083

Model: gpt-5

Claim: An empirical convergence rate R_t proportional to (cos^4 gamma + sin^4 gamma) kappa (Omega_C J / (2(kappa^2+Omega_C^2)))^2 + sin^2 gamma cos^2 gamma kappa J^2/(kappa^2+Omega_C^2) is obtained, with proportionality factor 2.4 fit to the numerical Liouvillian gap.

Source alignment: source/supp_content.tex:253-262 (Eq. (S18))

Prior official verdict: partial with failure_reason None.

Executable evidence: run.py. Sandbox rerun logs: run.log.

Independent audit: I scanned the copied script for imports/shared helper dependencies and reran it through the sandbox. The code is self-contained in this attempt directory and targets the claim strategy: Compute the numerical Liouvillian gap over (Omega_C,kappa,gamma) and confirm the empirical formula (with factor 2.4) reproduces it as in Fig. kappa_Rt.. I checked the relevant family model rather than relying only on exit status; the rerun is treated as one reproducibility input.

Decision: Round 2 verdict is partial with failure_reason None and limitations ['paper_text_only_reimplementation']. Notes: Empirical Eq S18 x2.4 vs numerical Liouvillian gap at Omega_C=6J. gamma=0.10pi: median(emp/num)=0.994, rms=0.0008J, num peak 0.0417J@4.2J. gamma=0.25pi: median(emp/num)=1.184, rms=0.0086J, num peak 0.0528J@5.6J. Independent best-fit proportionality factor = 2.39 and 2.03, bracketing the paper's stated 2.4. Empirical formula with factor ~2.4 tracks the gap well. Capped at partial (empirical fit + reimplemented model).