  We witness multipartite entanglement in the Kitaev chain -- a benchmark model
of one dimensional topological insulator -- also with variable-range pairing,
using the quantum Fisher information. Phases having a finite winding number,
both for short- and long-range pairing, are characterized by a power-law
diverging finite-size scaling of multipartite entanglement. Moreover the
occurring quantum phase transitions are sharply marked by the divergence of the
derivative of the quantum Fisher information, even in the absence of a closing
energy gap.
