Uniqueness conjecture for bounded-girth ancient Ricci flows on spheres

Let $n\ge 4$. An ancient Ricci flow is a Ricci flow defined for all sufficiently negative times. Consider the solution on $S^n$ constructed in the paper's main existence theorem, and identify solutions up to isometry, parabolic rescaling, and time translation. Uniqueness conjecture. Up to these equivalences, this solution is the unique $O(n-1)$-invariant ancient solution on $S^n$ with positive curvature operator and bounded girth.

The conjecture seeks to distinguish the constructed example among the many known ancient Ricci flows by imposing rotational symmetry, positive curvature operator, and bounded girth. Its resolution is not specified in the source.