Bridge-number conjecture for spiral knots

For a spiral knot $S(p,q,\varepsilon)$, let $b(S(p,q,\varepsilon))$ denote its bridge number, and let $\min(p,q)$ be the minimum of its two integer parameters. Bridge-number conjecture. Every spiral knot satisfies

$$b(S(p,q,\varepsilon))=\min(p,q).$$

The formula holds for the examples and families discussed in the paper and is also known for torus knots. The conjecture proposes that it holds for all spiral knots; its general validity remains open.