files / problems / union-closed / compute / README.md

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Compute

./run_all.sh

Requires numpy, scipy, mpmath, matplotlib (/tmp/ucvenv if present).

script what
solve_published.py mpmath dps=80 replay of φ, c*, Liu c₅
verify.py official checks for claimed 0.38285; writes verify.json
first_crossing.py c(β) on the {b,1} ray for Example 4 and 5
plot_crossing.py ../figures/ray_crossing.png
hunt_mixtures.py 3-atomic / 2-mixture residue at (β,c)=(0.20, 0.38285)
enum_small.py union-closed families on n≤4 (min abundance = 1/2)
q1/ pure Example 4 on {b,1}; claimed 0.38304; q1/run_all.sh
q2/ 2-sample ceiling on {b,1}; mixes / 3-atomic / new protocols; constant unchanged; q2/run_all.sh
q3/ tighter 9,000×7,000 certificate on {b,1}; claimed 0.38305; q3/run_all.sh

Papers used tonight live in refs/. The 2026-08-27 replay of the current printed constant is q3/run_all.sh; q1 supplies the analytic crossing and q2 supplies the 2-sample-class ceiling.