Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region

Registry resolution: candidate. Reported result type: disproved. The registry record and named primary source provide the statement and scope.

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region · Marton's inner bound

Confidence: Not scored

Registry verification: unreviewed · preprint · candidate

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Attribution

VibeMathed
registry · event recorded by

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

Mian Huang
human · human collaborator

Yanxiao Liu
human · human collaborator

Yi Liu
human · human collaborator

Evidence vector

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Named evidence

VibeMathed record: Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region

specialist registry · passed

No independent mathematician has checked this yet. Checked by this site on 21 August 2026 against the paper (arXiv:2608.19869v1): the AI statement and the per-author credits are as quoted, and the result is unconditional rather than resting on the Markovity conjecture, which the paper shows fails and then works around. The authors certify the gap with interval arithmetic and outward-rounded MPFR at more than 1.88e-6 nats; that computation was not re-run here. Days-old preprint, no independent review.

Source ↗

Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region

preprint · pending

Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

Source ↗

Lineage and corrections

Corrects Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region →

Supersedes Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region →

This event attributed to Yi Liu

This event attributed to Claude Opus 5

Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region parent of this event

Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region evidence for this event

This event attributed to Mian Huang

This event attributed to Yanxiao Liu

This event attributed to GPT-5.6 Sol

VibeMathed record: Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region evidence for this event

Registry resolution: candidate. Reported result type: disproved. The registry record and named primary source provide the statement and scope. parent of this event

This event attributed to Claude Fable 5

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