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.

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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
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preprint

Sound and Deterministic Quadric Arrangements on a Rational Ellipsoid with Machine-Checkable Certificates

Shikisai Project
1 citations
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

Sound and Deterministic Quadric Arrangements on a Rational Ellipsoid with Machine-Checkable Certificates

Shikisai Project
preprint en
1 citations

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Polynomial and algebraic computation
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