The 1-loop torsion conjecture for hyperbolic knot complements

Let $M$ be a cusped hyperbolic $3$-manifold, let $\tau_M$ be the topological invariant obtained from the 1-loop invariant on the Epstein–Penner component, and let $\tau^{\mathrm{R}}_M$ denote the nonabelian Reidemeister torsion of $M$ with respect to the meridian. The 1-loop torsion conjecture. For every hyperbolic knot complement,

$$\tau^{\mathrm{R}}_M=\pm\tau_M.$$

This conjecture compares the state-integral 1-loop invariant with nonabelian Reidemeister torsion and would identify the former with a topological torsion invariant up to sign. The source provides no resolution status.