Source authenticated

The Order of Long Rainbow Arithmetic Progressions

the true order is determined, and it is not the conjectured one

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 16, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: The Order of Long Rainbow Arithmetic Progressions · Rainbow APs

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Jesse Geneson
human · human collaborator

Codex (GPT-5.6)
model · ai model contributor · OpenAI / Anthropic

Claude Code (Fable 5)
model · ai model contributor · OpenAI / Anthropic

Lineage and corrections

This event attributed to Jesse Geneson

This event attributed to Claude Code (Fable 5)

This event attributed to Codex (GPT-5.6)

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The Order of Long Rainbow Arithmetic Progressions — Mathematical Frontier Network