Sound and Deterministic Quadric Arrangements on a Rational Ellipsoid with Machine-Checkable Certificates
Preprint. We present a deterministic arrangement kernel for rational quadric surfaces on a rational ellipsoid, with exact rational and algebraic arithmetic, a multi-chart stereographic atlas, rejection certificates, and scoped reproducibility artifacts. The deposit includes the paper PDF, SHA-256 list, and a source-and-artifact archive. The source archive contains the GPL research kernel, Lean proofs, test vectors, artifact tables, and reproduction scripts. Licenses: paper CC BY 4.0; research code and Lean proofs GPL-3.0-or-later; artifact data CC BY 4.0. The Axiom product QA core is not included.
Authors
- Shikisai Project
Institutions
- Oldham Council (GB)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-27
- DOI
- https://doi.org/10.5281/zenodo.23684020
- Citations
- 1
- Primary Topic
- Polynomial and algebraic computation
- Type
- preprint