2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196167We show that one can express Frobenius transformation on middle-dimensional p-adic cohomology of Calabi-Yau threefold in terms of mirror map and instanton numbers. We express the mirror map in terms of Frobenius transformation on p-adic cohomology . We discuss a $p$-adic interpretation of the conjecture about integrality of Gopakumar-Vafa invariants.13 pages,new section about Gopakumar-Vafa invariants added, some additions in the last section, some correctionsHigh Energy Physics - TheoryAlgebraic GeometryNumber TheoryFrobenius transformation, mirror map and instanton numberstext