The Pixton formula conjecture for weighted fundamental classes of twisted canonical divisors

Let $g,n,k$ be as above, let $A=(a_1,\ldots,a_n)$ satisfy $\sum_{i=1}^n a_i=k(2g-2)$, and let $\widetilde A=(a_1+k,\ldots,a_n+k)$. For $k\geq 1$, assume that $A$ is not of the form $A=k\cdot A'$ for a vector $A'$ of nonnegative integers. Let $\mathsf{H}^k_{g,A}\in\mathsf{CH}_{2g-3+n}(\overline{\mathcal{M}}_{g,n})$ be the weighted fundamental class of the compactified locus of twisted $k$-canonical divisors, and let $P_g^{g,k}(\widetilde A)$ denote Pixton's cycle class. Pixton's formula conjecture. One has

$$\mathsf{H}^k_{g,A}=2^{-g}P_g^{g,k}(\widetilde A).$$

The class $\mathsf{H}^k_{g,A}$ includes weighted boundary contributions beyond the closure of the locus of smooth curves. The equality was conjectured in the cited work and is the expected formula relating weighted fundamental classes of twisted $k$-canonical divisors to Pixton's double ramification cycle; the supplied text gives no evidence that it has been resolved.