  We consider the entanglement Hamiltonian for an interval in a chain of free
fermions in its ground state and show that the lattice expression goes over
into the conformal one if one includes the hopping to distant neighbours in the
continuum limit. For an infinite chain, this can be done analytically for
arbitrary fillings and is shown to be the consequence of the particular
structure of the entanglement Hamiltonian, while for finite rings or
temperatures the result is based on numerical calculations.
