  The bulk-edge correspondence (BEC) refers to a one-to-one relation between
the bulk and edge properties ubiquitous in topologically nontrivial systems.
Depending on the setup, BEC manifests in different forms and govern the
spectral and transport properties of topological insulators and semimetals.
Although the topological pump is theoretically old, BEC in the pump has been
established just recently [1] motivated by the state-of-the-art experiments
using cold atoms [2,3]. The center of mass (CM) of a system with boundaries
shows a sequence of quantized jumps in the adiabatic limit associated with the
edge states. Although the bulk is adiabatic, the edge is inevitably
non-adiabatic in the experimental setup or in any numerical simulations. Still
the pumped charge is quantized and carried by the bulk. Its quantization is
guaranteed by a compensation between the bulk and edges. We show that in the
presence of disorder the pumped charge continues to be quantized despite the
appearance of non-quantized jumps.
