  We consider a chiral fermion at non-zero temperature on a circle (i.e., on a
torus in the Euclidean formalism) and compute the modular Hamiltonian
corresponding to a subregion of the circle. We do this by a very simple
procedure based on the method of images, which is presumably generalizable to
other situations. Our result is non-local even for a single interval, and even
for Neveu-Schwarz boundary conditions. To the best of our knowledge, there are
no previous examples of a modular Hamiltonian with this behavior.
