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In this paper, we prove that the generalized Br\'ezin-Gross-Wittentau-function is a hypergeometric solution of the BKP hierarchy with simpleweight generating function. We claim that it describes a spin version of thestrictly monotone Hurwitz numbers. A family of the hypergeometric tau-functionsof the BKP hierarchy, corresponding to the rational weight generatingfunctions, is investigated. In particular, the cut-and-join operators areconstructed, and the explicit description of the BKP Sato Grassmannian pointsis derived. Representatives of this family can be associated with interestingfamilies of spin Hurwitz numbers including a spin version of the monotoneHurwitz numbers.

Generalized Br\'ezin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy