Realization conjecture for knot bridge-braid spectra

A bridge-braid spectrum is a sequence of integers associated to a knot, with the entries decreasing and ending in $\{\ldots,1,0\}$. Bridge-braid spectrum realization conjecture. For any sequence of decreasing integers terminating in $\{\ldots,1,0\}$, there is a knot with this sequence as its bridge-braid spectrum. The claim is presented as a proposed sufficiency statement alongside previously established necessary conditions, but the source supplies no resolution.