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Hamilton Decompositions of the Directed 5-Torus, Odd Modulus

The directed five-dimensional torus $D_5(m)$ has a Hamilton decomposition for every odd $m \geq 3$, extending the decomposition program for directed tori beyond the three-dimensional case.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Apr 29, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Hamilton Decompositions of the Directed 5-Torus, Odd Modulus · Directed 5-torus

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

SangHyun Park
human · human collaborator

GPT-5.5 Pro
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

GPT-5.5 Codex
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Claude Opus 4.7
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Lineage and corrections

This event attributed to SangHyun Park

This event attributed to Claude Opus 4.7

This event attributed to GPT-5.5 Codex

This event attributed to GPT-5.5 Pro

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