Round 2 verification audit for C043
Model: gpt-5
Claim: With full transfer (Phi=pi/4) and complete repump, the combined two-parameter superoperator S_{BA}(gamma) restricted to the ground manifold has six non-zero eigenvalues: lambda_ss=+1 and five roots of a degree-5 polynomial, with lambda_max strictly dominating the other non-unit eigenvalues over the whole parameter space.
Source alignment: source/supp_content.tex:25-27 (Supp. Mat. S1)
Prior official verdict: partial with failure_reason mismatch.
Executable evidence: run.py. Sandbox rerun logs: run.log.
Independent audit: I read the reduced-superoperator script and the source statement in supp_content.tex:27. The code explicitly projects onto M={dd,uu,Psi+,Psi-}, verifies U_A(pi/4) maps dd to ee and leaves the other three manifold states fixed, verifies negligible B.A leakage, and then counts eigenvalues over a theta/gamma grid. The model targets the paper claim. It consistently finds 10 non-zero eigenvalues, not six, while preserving the +1 steady state and lambda_max dominance. The partial/mismatch verdict is warranted.
Decision:
Round 2 verdict is partial with failure_reason mismatch and limitations ['paper_text_only_reimplementation']. Notes: Built the REDUCED superoperator on the 4-state manifold M={dd,uu,Psi+,Psi-} under the paper's approximations: full transfer (numerically U_A(pi/4) maps dd->ee and leaves uu,Psi+,Psi- invariant) and complete repump (population leakage out of M after B.A = 4e-16), giving S(gamma,theta)=S_C|_M S_BA(gamma) on the 16-dim manifold density space. CONFIRMED parts: a unique lambda_ss=+1 (eigenvector |Psi->