  We discuss the higher Fock state (q \bar q g) contributions to the nonzero
value of the pion GPD at the crossover point x = zeta between the DGLAP and
ERBL regions. Using the phenomenological light-front constituent quark model,
we confirm that the higher Fock state contributions indeed give a nonzero value
of the GPD at the crossover point. Iterating the light-front quark model wave
function of the lowest q \bar q Fock state with the Bethe-Salpeter kernel
corresponding to the one-gluon-exchange, we include all possible time-ordered q
\bar q g Fock state contributions and obtain the pion GPD satisfying necessary
sum rules and continuity conditions.
