Ferroni–Jochemko–Schröter conjecture on Ehrhart positivity of positroids

A positroid is a matroid arising from a cell of the totally positive Grassmannian. A matroid base polytope is Ehrhart positive when all coefficients of its Ehrhart polynomial are nonnegative. Ferroni–Jochemko–Schröter conjecture. Every positroid is Ehrhart positive. Positroids form a particularly promising class because they contain all previously known positive instances of the De Loera–Haws–Köppe conjecture. The conjecture remains open in the source, while the paper's theorem proves positivity for lattice path matroids, a subclass of positroids.