We study two different parametric pumps-one for pumping spin currents, the
other for charge currents-in interacting quantum wires. Ve find that, as a
function of pumping frequency, the spin or charge pumped per cycle has a no
nuniversal crossover-depending on pumping details-between two universal fix
ed point values of 0 and twice the electronic spin or charge quantum number
. The direction of flow between these two fixed points depends on whether t
he interactions are repulsive or attractive, while the quantization itself
is a signature of interactions.