The width-three, three-highly-twisted plat rigidity conjecture

Let a knot or link have a plat presentation of width greater than or equal to $3$, and suppose the presentation is $3$-highly twisted. Plat rigidity conjecture. The statement of Theorem holds for such knots and links. Theorem provides a canonical-form and uniqueness result for knots and links satisfying its stated hypotheses; this conjecture proposes extending that result to wider, less highly twisted plat presentations. The source does not provide evidence that the conjecture has been resolved.