Stable pairs descendent rationality conjecture

Let $X$ be a nonsingular projective 3-fold, let $\beta\in H_2(X,\mathbb{Z})$, and let

$$\Big\langle \mathsf{ch}_{k_1}(\gamma_1)\cdots \mathsf{ch}_{k_m}(\gamma_m)\Big\rangle_{\beta}^{X,\mathrm{PT}}$$

be the stable pairs descendent series, where $\gamma_i\in H^*(X)$ and $k_i\geq 0$. Stable pairs descendent rationality conjecture. The series is the Laurent expansion of a rational function of $q$ for all such $\gamma_i$ and $k_i$. Rationality of stable pairs descendent series is a fundamental structural property of the theory; the statement is presented here as a conjecture, with no resolution specified in the source.