  We study charge pumping in generic non-Hermitian settings and show that
quantized charge pumping is only guaranteed under a biorthogonal formalism
therein, where the charge transport is evaluated using the left and right
eigenvectors of the non-Hermitian Hamiltonian. Specifically, for biorthogonal
charge pumping in generic one-dimensional non-Hermitian models, we demonstrate
how quantized transport is related to the Chern number in the parameter space.
When the non-Hermitian model possesses the non-Hermitian skin effect, under
which Bloch states in the bulk are deformed and localize toward boundaries, we
propose a scenario where the pumped charge is related to the non-Bloch Chern
number defined in the parameter space involving the generalized Brillouin zone.
We illustrate the validity of our analytic results using concrete examples and,
in the context of the biorthogonal charge pumping, discuss in detail a recent
experiment where quantized charge pumping was observed in a lossy environment.
