  We construct universal parton evolution equation that produces space- and
time-like anomalous dimensions for the maximally super-symmetric N=4
Yang--Mills field theory model, and find that its kernel satisfies the
Gribov--Lipatov reciprocity relation in three loops. Given a simple structure
of the evolution kernel, this should help to generate the major part of
multi-loop contributions to QCD anomalous dimensions, due to classical soft
gluon radiation effects.
