Hansen's rigid-analytic Artin–Grothendieck vanishing conjecture

Let $C$ be an algebraically closed non-archimedean field, let $A$ be a $C$-affinoid algebra, and let $n$ be an integer invertible in $\mathcal{O}_C$. Let $\operatorname{Spa}(A,A^\circ)$ denote the associated adic space with its étale site, and let $\mathcal{F}$ be a Zariski-constructible sheaf of $\mathbf{Z}/n\mathbf{Z}$-modules on this site. Hansen's conjecture. One should have

$$\mathrm{H}^i_{\textnormal{\'et}}\big(\operatorname{Spa}(A,A^\circ),\mathcal{F}\big)=0$$

for $i>\dim A$. This is the rigid-analytic analogue of Artin–Grothendieck vanishing. The corresponding vanishing theorem for torsion étale sheaves on the scheme $\operatorname{Spec} A$ is proved in the paper, while the rigid-analytic statement remains the conjectural second analogue attributed to Hansen.