  We study adiabatic pumping through a two-level quantum dot with spin-orbit
coupling. Using a diagrammatic real-time approach, we calculate both the pumped
charge and spin for a periodic variation of the dot's energy levels in the
limit of weak tunnel coupling. Thereby, we compare the two limits of vanishing
and infinitely large charging energy on the quantum dot. We discuss the
dependence of the pumped charge and pumped spin on gate voltages, the symmetry
in the tunnel-matrix elements and spin-orbit coupling strength. We identify the
possibility to generate pure spin currents in the absence of charge currents.
