  In this paper we present novel integrable symplectic maps, associated with
ordinary difference equations, and show how they determine, in a remarkably
diverse manner, the integrability, including Lax pairs and the explicit
solutions, for integrable partial difference equations which are the discrete
counterparts of integrable partial differential equations of Korteweg-de
Vries-type (KdV-type). As a consequence it is demonstrated that several
distinct Hamiltonian systems lead to one and the same difference equation by
means of the Liouville integrability framework. Thus, these integrable
symplectic maps may provide an efficient tool for characterizing, and
determining the integrability of, partial difference equations.
