Pandharipande–Thomas rationality conjecture for descendent partition functions

Let $M$ be a Calabi–Yau threefold, let $\beta$ be a nonzero curve class, and let $\tau_{k_i}(\gamma_i)$ be descendent insertions. Denote the associated PT partition function by $\operatorname{Z_{PT}}\left(M;q\mid\prod_{i=1}^r\tau_{k_i}(\gamma_i)\right)_\beta$.

Pandharipande–Thomas rationality conjecture. The partition function $\operatorname{Z_{PT}}\left(M;q\mid\prod_{i=1}^r\tau_{k_i}(\gamma_i)\right)_\beta$ is the Laurent expansion of a rational function in $q$.

This is the descendent version of PT rationality and is used as a prerequisite for comparing GW and PT theories; the source attributes it to Pandharipande and Thomas.