v1.0.4 — AI-use disclosure
Submission artifact v1.0.4.
This revision adds an AI-use disclosure identifying GPT-5.6 Sol
(gpt-5.6-sol) at max reasoning effort and stating the author's direction,
verification, and responsibility. It also updates the manuscript version and
date, citation metadata, deterministic PDF source date, PDF, and hash records.
The theorem, mathematical argument, proof generators, exact logs,
dependencies, and replay commands are unchanged from v1.0.3. The successful
complete replay recorded there therefore remains the replay record for this
snapshot: 1:15:18 wall time, 338764 KiB peak resident memory, and 289,261,901
top-half cells checked through D = 1200 with zero negative Turán steps.
Proof-payload SHA-256:
b8d918147e24d23461f492805c56ebbd4ab388f8ce2620514d4fb4fac7865c2f
PDF SHA-256:
907561982fdd7f7661cef17cd268117f1268e102efc0ba7554c4711b179783bf
The accepted snapshot remains intended for deposit in a persistent,
DOI-bearing archive.