The overtwistedness conjecture for positive contact surgery on Legendrian knots

Let $L$ be a null-homologous Legendrian knot with Thurston–Bennequin invariant $tb(L)\leq -2$, and let $n$ be a positive integer. Overtwistedness conjecture. If $n<|tb(L)|$, then contact $(+n)$-surgery on $L$ is overtwisted. This conjecture seeks to remove the rotation-number bounds from the preceding overtwistedness results; the supplied source does not indicate whether it has been resolved.