The slope mirror conjecture over the integers

Let $X$ and $Y$ be schemes of finite type over $\mathbb{Z}$ whose generic fibres $X\otimes\mathbb{Q}$ and $Y\otimes\mathbb{Q}$ form a usual weak mirror pair of $d$-dimensional Calabi–Yau manifolds defined over $\mathbb{Q}$. For each prime $p$, let $S_p(X\otimes\mathbb{F}_p,u,T)$ denote the slope zeta function of the reduction modulo $p$. Slope mirror conjecture over $\mathbb{Z}$. There are infinitely many prime numbers $p$, with positive density, such that

$$S_p(X\otimes\mathbb{F}_p,u,T)=S_p(Y\otimes\mathbb{F}_p,u,T)^{(-1)^d}.$$

This is presented as a harder conjecture for mirror pairs over a number field. No resolution is supplied in the source.