Clemens's conjecture for rational curves on the generic quintic threefold

Let $X\subset\mathbb{P}^4$ be a generic quintic threefold. A rational curve means a curve on $X$ birational to $\mathbb{P}^1$, and its degree is measured with respect to the embedding $X\subset\mathbb{P}^4$. Clemens's conjecture. The generic quintic threefold $X$ admits only a finite number of rational curves of each degree. Each rational curve is a smoothly embedded $\mathbb{P}^1$ with normal bundle

$$\mathscr{O}(-1)\oplus\mathscr{O}(-1).$$

Furthermore, all the rational curves on $X$ are mutually disjoint. This is the classical Clemens conjecture for the generic quintic threefold; the supplied passage gives no resolution status for the full statement.