# Verification and scope report

The accepted theorem proves arbitrary-data C-infinity convergence on S2
for u_t=bar(K)/K-1, initially smooth with K>0. The limit has constant
positive curvature in fixed coordinates. Neither smallness nor symmetry
is assumed. The separate higher-dimensional source question is unresolved.

The originating researcher's self-audit checked the dependence order:
distance contraction and Darvas estimates, background H1, entropy,
Green-kernel C0 control, two curvature barriers, exact inverse Monge--Ampere
transformation, regularity and contraction toward a subsequential limit.
Initial-time dependence, positive curvature, the factor two in the time
change and energy derivative, and the nonconstant stationary Mobius family
are explicit. There was no independent mathematical review or local
proof-assistant verification.

The standard-library Fraction checker passes 20,057 checks in each of
normal and optimized Python, with identical output. They check algebra
at finite rational jets and thresholds, not the infinite-time PDE theorem.
The scalar time-rescaling check is not itself a geometric verification.

Primary references and their hypotheses were compared with the manuscript.
The bounded literature search through 7 October 2026 did not find the
same arbitrary-data smooth spherical theorem. This is not an absolute
priority certificate. The frozen question text was retained; its live
AimPL page could not be fetched with valid TLS. The flow equation and
the imported estimates were checked in the published literature.

The six-page English PDF was compiled with the native editor compiler
and Tectonic, and every page was visually inspected. Source and payload
hashes are listed in the package manifest. The title shows only the author
name, with affiliation and contact in a footnote; AI assistance appears
in the text. Successful compilation and hashes are artifact checks, not
mathematical proof.