Computational supplement
For the AI-generated paper Fujita freeness on complex projective sevenfolds (PDF) · posted here 2026-09-20 06:51:18 UTC
This supplement contains the complete finite-arithmetic data and the independent checkers for the thirteen certificate packages (75 certificate families) described in Appendix A.4 of the paper. The definitions, the geometric arguments showing that the certificates apply, the uniform error estimates, and the analytic reductions are in the paper itself; a successful computation does not replace those proofs, and it is not a formal verification of the paper.
Download
fujita-sevenfold-supplement-2026-09-20.zip
(12.6 MB, 166 files).
SHA-256:
a54bfd927c95cb78996b6edab1c830acc0fbc698ed068ffbe5e9c47b5cd4a52d
Individual files: README · manifest.json (byte counts and SHA-256 of every file) · check.py (the dispatcher) · validation-summary.json (the recorded full run).
How to run the checkers
Use Python 3.10 or later with its standard library only. After unpacking, run from the directory of the supplement:
python3 -B check.py --manifest manifest.json --report runs/full-001/aggregate.json
The dispatcher verifies the delivered inventories, runs every section, and checks that the
inputs remain unchanged. No network, external package, or optimizer is needed. A zero exit
code and status: pass with full_package_run: true mean that every
declared arithmetic package passed. The recorded fresh full run of this release took
341 seconds and passed all thirteen sections. Do not use Python’s
-O option.
Contents
| Section package | Certificate families | Files |
|---|---|---|
| 05-tails | 2 | 3 |
| 07-capacities | 10 | 3 |
| 09-original-sources | 5 | 13 |
| 10-ledger | 7 | 3 |
| 11-quartic-threefold | 4 | 5 |
| 12-cubic-fourfold | 5 | 9 |
| 13-triple-fivefold | 4 | 6 |
| 14-double-geometry | 2 | 3 |
| 16-double-twentynine | 3 | 15 |
| 17-ambient-endpoints | 25 | 49 |
| 18-intrinsic-double | 5 | 8 |
| 19-large-deficit | 1 | 2 |
| 20-rank-two-feedback | 2 | 3 |
The data and the checkers were produced by the Danus system together with the paper and, like the paper, have not been verified by a human.