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1.28249... Lower Bound and Partial Upper Bounds for Cost-Preserving Single-Source Unsplittable Flows

Record lower bound only. The sub-2 ceiling is the codimension-two case and does not bound the record ladder (k=17 has complement mass 11). 4/3 and 2 are conjectures; the proved gap is [1.28249, 2].

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 31, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: 1.28249... Lower Bound and Partial Upper Bounds for Cost-Preserving Single-Source Unsplittable Flows · Common-Point Interval Systems for SSUF

Confidence: Not scored

Registry verification: site confirmed · preprint · partial

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Attribution

VibeMathed
registry · event recorded by

Sergey Nikolenko
human · human collaborator

GPT-5.6 Sol
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Claude Fable 5
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Claude Opus 5
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Lineage and corrections

This event attributed to Sergey Nikolenko

This event attributed to Claude Opus 5

This event attributed to Claude Fable 5

This event attributed to GPT-5.6 Sol

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