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Parity-time ($\mathcal{PT}$) symmetric systems are classical, gain-losssystems whose dynamics are governed by non-Hermitian Hamiltonians withexceptional-point (EP) degeneracies. The eigenvalues of a$\mathcal{PT}$-symmetric Hamiltonian change from real to complex conjugates ata critical value of gain-loss strength that is called the $\mathcal{PT}$breaking threshold. Here, we obtain the $\mathcal{PT}$-threshold for aone-dimensional, finite Kitaev chain -- a prototype for a p-wave superconductor-- in the presence of a single pair of gain and loss potentials as a functionof the superconducting order parameter, on-site potential, and the distancebetween the gain and loss sites. In addition to a robust, non-local threshold,we find a rich phase diagram for the threshold that can be qualitativelyunderstood in terms of the band-structure of the Hermitian Kitaev mo del. Inparticular, for an even chain with zero on-site potential, we find a re-entrant$\mathcal{PT}$-symmetric phase bounded by second-order EP contours. Ournumerical results are supplemented by analytical calculations for small systemsizes.

$\mathcal{PT}$-symmetry breaking in a Kitaev chain with one pair of gain-loss potentials