Rasmussen's spectral sequence conjecture from reduced Khovanov homology to knot Floer homology

Let $K$ be a knot in $S^3$. Denote by $\overline{Kh}(K)$ the reduced Khovanov homology of $K$, and by $\widehat{\mathit{HFK}}(K)$ the reduced, delta-graded knot Floer homology of $K$.

Rasmussen's spectral sequence conjecture. There is a spectral sequence from $\overline{Kh}(K)$ to $\widehat{\mathit{HFK}}(K)$.

This conjecture is one of the central proposed connections between Khovanov homology and Heegaard Floer homology. The source gives no resolution status.