  We investigated the topological pumping charge of a dimerized Kitaev chain
with spatially modulated chemical potential, which hosts nodal loops in
parameter space and violates particle number conservation. In the simplest
case, with alternatively assigned hopping and pairing terms, we show that the
model can be mapped into the Rice-Mele model by a partial particle-hole
transformation and subsequently supports topological charge pumping as a
demonstration of the Chern number for the ground state. Beyond this special
case, analytic analysis shows that the nodal loops are conic curves. Numerical
simulation of a finite-size chain indicates that the pumping charge is zero for
a quasiadiabatic loop within the nodal loop and is $\pm 1$ for a quasiadiabatic
passage enclosing the nodal loop. Our findings unveil a hidden topology in a
class of Kitaev chains.
