Schleimer's hyperbolicity conjecture for multiarc and curve graphs

Let $\Sigma$ be a compact, connected, orientable surface, and let $\mathcal A$ be a multiarc and curve graph on $\Sigma$. A compact, essential subsurface $W\subset\Sigma$ is a witness for $\mathcal A$ if $W\not\cong\Sigma_0^3$ and every arc and curve system in $V(\mathcal A)$ intersects $W$. Let $i(a,b)$ denote geometric intersection number, and let $M\geq 0$. Assume that $(a,b)\in E(\mathcal A)$ if and only if $i(a,b)\leq M$. Schleimer's hyperbolicity conjecture. The graph $\mathcal A$ is $\delta$-hyperbolic if and only if it does not admit disjoint connected witnesses. This conjecture proposes a geometric characterization of hyperbolicity for multiarc and curve graphs; its resolution status is not specified in the source.