Hedden's Whitehead-doubling sliceness conjecture

Let $K\subseteq S^3$ be a knot, and let $Wh^\pm(K)$ denote its positive or negative clasped, untwisted Whitehead double. Hedden's Whitehead-doubling conjecture. The knot $Wh^\pm(K)$ is smoothly slice if and only if $K$ is smoothly slice. The forward implication is an open question generalising the sliceness questions for Whitehead doubles of the left-handed trefoil and figure-eight knot; the reverse implication is immediate from the satellite construction.