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Stanley's Rankwise Lower-Bound Conjecture for Differential Posets

Must every $r$-differential poset have at least as many elements in each rank as $Y^r$, the $r$-th Cartesian power of Young's lattice? For $r = 3$ the new construction has fourth-rank size $50$ against $51$ for $Y^3$.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 28, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Stanley's Rankwise Lower-Bound Conjecture for Differential Posets · Differential poset ranks

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Stanley's Rankwise Lower-Bound Conjecture for Differential Posets — Mathematical Frontier Network