  In their recent inspiring paper Mironov and Morozov claim a surprisingly
simple expansion formula for the Kontsevich-Witten tau-function in terms of the
Schur Q-functions. Here we provide a similar conjecture for the
Br\'ezin-Gross-Witten tau-function. Moreover, we identify both tau-functions of
the KdV hierarchy, which describe intersection numbers on the moduli spaces of
punctured Riemann surfaces, with the hypergeometric solutions of the BKP
hierarchy.
