Logarithmic primary PT/GW correspondence

Let $(X,D)$ be the logarithmic pair, let $\beta$ be a curve class, and set

$$d_\beta=c_1(T_X)\cdot\beta\in\mathbb{Z}.$$

Let $\zeta_1,\ldots,\zeta_k$ be cohomology insertions and let $\bm{\mu}(\delta)$ be relative conditions. Under the identification of variables $-q=e^{iu}$, primary PT/GW correspondence. One has

$$(-q)^{-d_\beta/2}\mathsf{Z}_{\mathsf{PT}}\left(X,D;q\mid\prod_{i=1}^k\tau_0(\zeta_i)\mid\bm{\mu}(\delta)\right)_\beta=(-iu)^{d_\beta+\sum\ell(\mu_j)-|\mu_j|}\mathsf{Z}_{\mathsf{GW}}\left(X,D;u\mid\prod_{i=1}^k\tau_0(\zeta_i)\mid\bm{\mu}(\delta)\right)_\beta.$$

This is the simplest form of the curve/sheaf correspondence, relating primary PT and GW generating series after the stated change of variables. The supplied text gives no resolution status.