  We construct a contact 5-manifold supported by infinitely many distinct open
books with the identity monodromy and pairwise exotic Stein pages (i.e. pages
are pairwise homeomorphic but non-diffeomorphic Stein fillings of a fixed
contact 3-manifold), moreover we describe a process of generating infinitely
many such examples. In contrast to this result, on each of $\#_{n} S^{2}\times
S^{3}$ and $\#_{n} S^{2}\tilde{\times} S^{3}$ $(n\geq 2)$ we construct
infinitely many open books with pairwise exotic Stein pages (and identity
monodromy) supporting mutually distinct contact structures.
