  We investigate charge pumping in the vicinity of order-obstructed topological
phases, i.e. symmetry protected topological phases masked by spontaneous
symmetry breaking in the presence of strong correlations. To explore this, we
study a prototypical Su-Schrieffer-Heeger model with finite-range interaction
that gives rise to orbital charge density wave order, and characterize the
impact of this order on the model's topological properties. In the ordered
phase, where the many-body topological invariant loses quantization, we find
that not only is quantized charge pumping still possible, but it is even
assisted by the collective nature of the orbital charge density wave order.
Remarkably, we show that the Thouless pump scenario may be used to uncover the
underlying topology of order-obstructed phases.
