# Verification report

The manuscript has a complete symbolic proof of the diamond flatness
criterion gamma != 0 or alpha*beta != 0 for every regular shift, plus an
all-degree polynomial centralizer proof for the homogeneous cubic
F=2z^2t+zp^2-xq^2 in the five-dimensional Heisenberg algebra.

Detailed source alignment and adversarial checks are in the accompanying
reproducibility files. The original codimension-three condition is verified
for the diamond algebra. Ooms's earlier counterexample and example are
credited; the reductive flatness theorem of Moreau is not contradicted.

The Python script performs 354 exact checks. Among them are full symbolic
shift and normal-form identities, all generator Jacobi identities, and
bounded homogeneous centralizer computations through degree 10 over two
checked prime fields. The Airy bounded spaces include all outgoing
monomials. Normal and optimized Python runs agree. These computations
supplement the written proof and do not prove its all-degree statement.

No independent review, formal verification, exhaustive novelty search or
absolute priority certification occurred. Publication remains suspended.