  In this work I demonstrate how to characterize topological phase transitions
in BDI symmetry class superconductors (SCs) in 1D, using the recently
introduced approach of Berry singularity markers (BSMs). In particular, I apply
the BSM method to the celebrated Kitaev chain model, as well as to a variant of
it, which contains both nearest and next nearest neighbor equal spin pairings.
Depending on the situation, I identify pairs of external fields which can
detect the topological charges of the Berry singularities which are responsible
for the various topological phase transitions. These pairs of fields consist of
either a flux knob which controls the supercurrent flow through the SC, or,
strain, combined with a field which can tune the chemical potential of the
system. Employing the present BSM approach appears to be within experimental
reach for topological nanowire hybrids.
