Hamilton Decompositions of the Directed 3-Torus
For $D_3(m) = \vec{C}_m \square \vec{C}_m \square \vec{C}_m$, can the full arc set be partitioned into three directed Hamilton cycles for every integer $m \ge 3$?
Exact FrontierDelta
Scope and record
Occurred: Mar 25, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Hamilton Decompositions of the Directed 3-Torus · 3-torus decomposition
Confidence: Not scored
Registry verification: lean verified · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Claude Opus 4.6
model · ai model contributor · Anthropic / OpenAI
GPT-5.3 Codex
model · ai model contributor · Anthropic / OpenAI
GPT-5.4 Pro
model · ai model contributor · Anthropic / OpenAI
Lineage and corrections
This event attributed to GPT-5.4 Pro
This event attributed to GPT-5.3 Codex
This event attributed to Claude Opus 4.6