Identify the universal asymptotic constant

Determine the value of the universal constant C appearing in the large-genus asymptotic expansion of super Weil–Petersson volumes and prove that C equals π^{-2}.

Background

Theorem 1.5 establishes a complete large-genus expansion for super Weil–Petersson volumes involving a universal constant C, while Theorem 1.7 transfers the same constant to the asymptotics with boundary lengths. The paper does not determine C explicitly.

The expected value is suggested by comparison with the GPRS conjecture, whose normalization would require C=π^{-2}. The authors therefore state this identification as a separate conjecture.