# Verification report

Date: 2026-09-01

## Mathematical result

`PASS`: source scope and extension-completion convention are explicit. The
minimal proof checks faithful spatial extension, Hilbert completion, operator
norm invariance, and common density. The maximal proof checks coordinate
bounds, every C*-seminorm axiom, finite semialgebraic descent, ground-model
compactness, universal-norm domination, and extension of old commuting
representations.

## Edge cases

Nonseparable and nonunital factors, new complex scalars, new Cauchy sequences,
possible algebraic kernels, cardinal collapse, and the distinction between
internal and external compactness were audited. No finite or computational
mathematical claim is used.

## Build and PDF QA

`PASS`: Tectonic 0.17.0 and BibTeX produced a five-page letter-size PDF with
zero LaTeX errors, undefined references/citations, overfull boxes, or
underfull boxes. All five pages were rendered at 144 DPI and directly
inspected; no clipping, margin, formula, bibliography, or legibility defect
was found. The canonical source/hash/integrity checker passed afresh.

## Public release and license

The author approved public release on 2026-09-02. This paper, its source files, and this verification report are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0): https://creativecommons.org/licenses/by/4.0/