Ehrhart positivity for paving positroids

Abstract: A central conjecture of Ferroni, Jochemko, and Schröter posits that every positroid is Ehrhart positive. While Ehrhart positivity has recently been verified for notable classes such as lattice path matroids and series-parallel matroids, the general conjecture remains open. In this paper, we prove that the base polytope of any paving positroid has positive Ehrhart coefficients. This establishes a new class of Ehrhart positive positroids and provides substantial evidence supporting this conjecture.