paper 8
Exact Arithmetic Certification of Geometric Reconstruction and Transport
Newman, Matthew Alan (2026-09-19). ORCID 0009-0007-5468-3125.
Representation and interpretation theorems connecting exact remainder certificates, marked-scale recovery, first floor disagreement, fibers, a homothety/Hausdorff identity, twelve-node degree-five cubature with an exact degree-six obstruction, and a localized forced incompressible realization of a stated deformation family. Site label is paper 8. The manuscript heading says Paper VIII. Zenodo preprint version 1.0, retrieved 19 September 2026.
Site label is paper 8, Arabic numeral on purpose. The manuscript heading says Paper VIII of the OMEGA series. This is a Zenodo preprint, version 1.0. It is not journal acceptance, not independent institutional peer review, not Lean, and not a Navier–Stokes blowup or unforced global-regularity theorem. It does not enlarge Paper VI. Frozen G₆ is unchanged.
DOI: 10.5281/zenodo.22848213 · Zenodo record 22848213 · concept 10.5281/zenodo.22848212. Retrieved from this archive on 19 September 2026 after an earlier HTTP 404.
Zenodo PDF equals the hosted PDF: 286,306 bytes, SHA-256 9827d625a33ea797417fb2847fc8db23c46980b870466b5a1e4b0e66a8c63785. Companion ZIP: 1,323,852 bytes, SHA-256 cbdf7a29d67942eff0bf839f30fb8071125c5c213a60e8d648f116f07a2c2f75. Both downloads are byte-identical to the Zenodo copies. The hosted ZIP is the corrected release. The adversarial review recorded 5e47b7d5… as the original submitted archive hash. That is an explained version difference, not evidence of a corrupted upload. Internal SHA256SUMS in the corrected ZIP pass: 103 top-level entries and 74 companion entries. Checker dbf0650c… and certificate 32bcc2fe… match the manuscript.
This-archive replay (Python 3.10.21): existing-bundle PASS (32,768 rows, 300,871 transitions, 56 monomials); regenerated certificate matched; 18 interface tests, 9 model tests, and 3 numerical-boundary tests passed normal and -O. NumPy here is 2.2.6, not the pinned 2.3.5. That run is not independent third-party reproduction.
Related local packages remain separate: NS geometric extension, floor-map fibers, cubature. The adversarial review is hosted next to the manuscript and is not peer review. A later localized-flow audit of Theorems 7.3–7.6 and 8.6 is at /papers/8/audit-01; it is additional work, not a relabeling of that review, and not institutional peer review.
Local copies: PDF · Word · companion ZIP · checker · CERTIFICATE.json · adversarial review · localized-flow proof PDF · Proof Audit 01 · this-archive environment
Publication: Zenodo preprint. Peer review: not peer reviewed. Published 2026-09-19. Document version final manuscript 19 September 2026. Zenodo deposit version 1.0.
Site label paper 8 (Arabic numeral). Manuscript heading: Paper VIII of the OMEGA series. Zenodo record 22848213, version 1.0. Concept DOI 10.5281/zenodo.22848212. Preprint; not peer reviewed. Hosted ZIP SHA-256 cbdf7a29… is the corrected release, byte-identical to Zenodo. The review recorded 5e47b7d5… as the original submitted archive; that is a version difference, not a corrupted upload. Checker dbf0650c… and certificate 32bcc2fe… match. This-archive Python replay is not independent third-party reproduction.
Open PDF: /papers/OMEGA_Paper_VIII_Final.pdf. Local mirror on this archive.
Zenodo file download: https://zenodo.org/records/22848213/files/OMEGA_Paper_VIII_Final.pdf?download=1
Research branch: certification · All source works
The archive makes no blanket claim of novelty, priority, peer review, or independent validation. Some displayed identities are standard or definitional and are included to make the computational specification self-contained. Any claim of originality must concern a specifically stated formulation or derived result and must be evaluated separately against the relevant prior literature.
Cite this work
@misc{newman2026omega-8,
author = {Newman, Matthew Alan},
title = {Exact Arithmetic Certification of Geometric Reconstruction and Transport},
year = {2026},
date = {2026-09-19},
doi = {10.5281/zenodo.22848213},
url = {https://zenodo.org/records/22848213},
note = {Site label paper 8 (Arabic numeral). Manuscript heading: Paper VIII of the OMEGA series. Zenodo record 22848213, version 1.0. Concept DOI 10.5281/zenodo.22848212. Preprint; not peer reviewed. Hosted ZIP SHA-256 cbdf7a29… is the corrected release, byte-identical to Zenodo. The review recorded 5e47b7d5… as the original submitted archive; that is a version difference, not a corrupted upload. Checker dbf0650c… and certificate 32bcc2fe… match. This-archive Python replay is not independent third-party reproduction.}
}Complete BibTeX · CITATION.cff
Claims on this archive that cite this paper
- paper 8: exact arithmetic certification of geometric reconstruction and transport — written theorems in the 19 September 2026 Zenodo preprint 10.5281/zenodo.22848213; this-archive Python replay of the finite certificate is not a proof-assistant check of the analytic theorems 19 September 2026 localized-flow audit hosted at /papers/8/audit-01 is additional work covering Theorems 7.3–7.6 and 8.6; it is not peer review.
- paper 8 localized forced incompressible flow (Theorems 7.3–7.6 and 8.6) — written theorems in the 19 September 2026 preprint; 19 September 2026 audit found no proof-breaking defect in Theorems 7.3–7.6 or 8.6. Audit is not institutional peer review and does not establish priority of the combined methods.
- Six-mark projective recognition, landmark decoding, and baseline integration bounds — written additional consequences developed in exploration 02 using established methods. Not a theorem of Paper VII. Canonical seed remains one arcsecond. Priority of the applications is not assessed.