Katz's conjecture on rational curves on quintic threefolds

Let $X$ be a general quintic threefold, and let $d$ be the degree of a smooth rational curve on $X$. The scheme parametrizing smooth rational curves of degree $d$ on $X$ records these curves with their scheme structure. Katz's conjecture. The scheme of smooth rational curves of degree $d$ on the general quintic threefold is not empty, reduced and finite. This is a stronger version of the Clemens finiteness conjecture for degrees $d\leq 7$, as described in the source. The supplied source does not state whether the claim is resolved.