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Finitude of the Fibers of Complementary Bell Numbers

Subbarao and Verma asked in 1999 (Problem 5.7, first part) whether the complementary Bell numbers $f(n) = B_n(-1)$ take any given value only finitely many times. Campbell proves they do: for every fixed integer the fiber is finite, a result whose techniques connect to Wilf's conjecture on the vanishing of $f(n)$.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Aug 1, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Finitude of the Fibers of Complementary Bell Numbers · Complementary Bell fibers

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

John M. Campbell
human · human collaborator

GPT-5.6 Pro
model · ai model contributor · OpenAI

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This event attributed to John M. Campbell

This event attributed to GPT-5.6 Pro

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