Resurgent Stokes-coefficient integrality conjecture

Let $\alpha$ and $\beta$ be critical points, let $\tau(\alpha)$ and $\tau(\beta)$ denote their corresponding torsions, and let $\mathcal{S}_{\alpha}^{\beta}$ be the Stokes coefficient associated with the pair. Stokes-coefficient conjecture.

$$\mathcal{S}_{\alpha}^{\beta}\in\frac{1}{2\pi i}\sqrt{\frac{\tau(\beta)}{\tau(\alpha)}}\,\mathbb{Z}.$$

This conjecture predicts an arithmetic constraint on Stokes data arising from the resurgent structure of complex Chern–Simons theory; the supplied excerpt does not state its resolution.