Perelman's compact ancient solution conjecture on the three-sphere

Let $(S^3,g(t))$ be a compact ancient $\kappa$-solution to the Ricci flow on $S^3$.

Perelman's compact ancient solution conjecture. Then $g(t)$ is either a family of shrinking spheres or Perelman's ancient solution.

This is the compact analogue of Perelman's conjecture for noncompact ancient $\kappa$-solutions. The supplied text does not state whether this conjecture has been resolved.