Equality of the big and finitistic test ideals

Let $R$ be an excellent Noetherian domain of characteristic $p>0$. Denote by $\tau_{\rm fg}(R)$ the finitistic test ideal and by $\tau_{\rm b}(R)$ the big test ideal of $R$. Test ideal equality conjecture.

$$\tau_{\rm b}(R)=\tau_{\rm fg}(R).$$

The big test ideal is always contained in the finitistic test ideal, and equality is expected in general. The paper proves equality for numerically log $\mathbb{Q}$-Gorenstein pairs, while the unrestricted statement remains open.