Pandharipande–Thomas topological vertex conjecture

Let $V_{,,}$ be the DT topological vertex and let $W_{,,}$ be the weighted labelled-box vertex. Let

$$M(q)=\prod_{n=1}^{\infty}\frac{1}{(1-q^n)^n}$$

be the plane-partition generating function. Pandharipande–Thomas topological vertex conjecture. In the Calabi–Yau case,

$$V_{,,}=W_{,,}M(q).$$

The source says that this identity is proved in a forthcoming paper, so the supplied text treats the conjecture as resolved by that result.