C062 - The average number of photons scattered during the full protocol is n_gamma = 4 csc^2(2 g...
Verdict: partial
Location: Supp. Mat. S3
Type / expected artifact: numeric / math / numeric
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.
Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain partial -> partial.
Limitations: rounded_input_sensitivity.
Source location(s): source/supp_content.tex:119 (Supp. Mat. S3).
Conclusion
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.
Verification details
Executable rerun: run.py exited 0 in 0.425s; log verification/C062/attempts/R002/run.log.
Output excerpt:
gamma = 0.31 pi
2 gamma = 1.947787 rad
sin(2 gamma) = 0.929776
n_gamma = 4 csc^2(2 gamma) = 4.6270
paper states n_gamma approx 4.5
relative discrepancy vs 4.5 : 2.82%