The derived Riemann hypothesis for curves over finite fields

Let $X$ be an integral regular projective curve of genus $g$ over $\Bbb F_q$, and let ${\bf n}_m=(n_0,n_1,\ldots,n_m)$ be an $(m+1)$-tuple of positive integers. Let $\widehat\zeta^{\,({\bf n}_m)}_{X,\Bbb F_q}(s)$ denote the ${\bf n}_m$-derived zeta function of $X$.

${\bf n}_m$-derived Riemann hypothesis. The function $\widehat\zeta^{\,({\bf n}_m)}_{X,\Bbb F_q}(s)$ satisfies the Riemann hypothesis: all its zeros lie on

$$\Re(s)=\frac{1}{2}.$$

The conjecture asserts the analogue of the classical curve Riemann hypothesis for every derived zeta function in this family. The supplied text does not state whether it has been resolved.