# Canonical hard disk percolation verification

The analytic proof establishes almost-sure percolation for every weak limit
of uniform canonical square-torus unit-disk laws sufficiently close to the
maximum number density. A DLR void estimate and a stationary insertion
scaffold give rho <= 1/(2 sqrt(3))-exp(-4 pi lambda)/9. An explicit
entropy argument applies Georgii's published ensemble theorem to arbitrary
square sizes. Magazinov's published high-activity theorem then applies.
The maximum-density endpoint uses the published BHRS equality case.

The self-audit checks the interior thermodynamic domain, both factorial
normalizations, local-topology compactness, preservation of Gaussian
energy, fixed Gibbs parameters through phase coexistence, and the
strict-contact convention. The infinite-component event is not passed
through weak convergence. A separate patch construction shows failure
for arbitrary stationary high-density laws.

Both standard and optimized checker runs return the same 44085 exact
checks, covering 1099 finite graphs and 2280 rational torus-distance
cases. These finite analogues are diagnostics; they are not a computational
or formal verification of the continuum proof.

The uploaded source archive contains the manuscript, original research
notes and the finite checker, but not third-party PDFs or full source
texts. The mathematical inputs are cited rather than claimed as original
proofs. This is an AI-assisted, self-audited, unrefereed note. No external
review, formal certification, crystallization result, optimal threshold
or absolute priority is claimed. The broad shortened dataset record is
not counted as an unrestricted whole-record closure.