Bounded multiplicities conjecture for pointed fusion systems

Let $G$ be a finite group, $D$ a defect group, $B$ a block algebra, and ${\cal B}$ the corresponding block. Let ${\cal L}{\cal P}={\cal L}{\cal P}(B)$ be the pointed fusion system of ${\cal B}$. Bounded Multiplicities Conjecture. Fixing $D$, there is a bound on the multiplicities of ${\cal L}{\cal P}$. This is one of three related conjectures concerning bounds in terms of the defect group. Its status is not specified in the source.