# requirements.txt - frozen from the verification environment (Apple M-series, macOS, Python 3.12), 2026-09-05
# Note: the evaluation records were produced on the author's own offline servers; this file pins the
# environment used for the independent re-derivation recorded in the public record.
numpy==1.26.4
scipy==1.13.1
scikit-learn==1.5.1
torch==2.9.0
cryptography==50.0.0
matplotlib==3.10.6
pandas==2.2.2