Round 2 verification audit for C062

Model: gpt-5

Claim: The average number of photons scattered during the full protocol is n_gamma = 4 csc^2(2 gamma); for gamma = 0.31 pi this gives n_gamma ~= 4.5.

Source alignment: source/supp_content.tex:119-119 (Supp. Mat. S3)

Prior official verdict: partial with failure_reason mismatch.

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

Independent audit: I recomputed the photon-count expression and also scanned gamma rounding. The exact literal gamma=0.31pi gives 4.627, but gamma=0.305pi gives 4.518. Since the paper prints approximate experimental gamma and an approximate photon count, this is a rounded-input limitation rather than a strict mismatch.

Decision: Round 2 verdict is partial with failure_reason None and limitations ['rounded_input_sensitivity']. Notes: Round-2 audit preserves partial but removes the hard mismatch flag. The formula n_gamma=4 csc^2(2 gamma) is applied directly: at the literal gamma=0.31pi it gives 4.627 photons, 2.8% above the printed approx 4.5. The value is highly sensitive to the rounded gamma: gamma=0.305pi gives 4.518, essentially the printed value. Since the branching angle is an experimental/rounded parameter and the paper uses an approximate photon count, this is best treated as rounded-input sensitivity, not a hard mismatch.