Stabilization bound for standard skew tableaux

A standard skew tableau has rows whose sizes weakly decrease from top to bottom; write $b$ for the number of rows and let $\stab$ denote its stabilization time, the least $k$ at which the tableau stabilization process becomes stable. Stabilization bound conjecture. Every standard skew tableau with $b$ rows and decreasing row sizes stabilizes at $b$. The paper verifies this for all standard skew tableaux of size at most $7$ and reports random searches without counterexamples. The bound is known to be tight for skew tableaux with constant row vectors, but the general case remains open.