  Neutron stars and their mergers provide the highest-density regime in which
Einstein's equations in full (with a matter source) can be tested against
modified theories of gravity. But doing so requires a priori knowledge of the
Equation of State from nuclear and hadron physics, where no contamination from
computations of astrophysics observables within General Relativity has been
built in. We extend the nEoS uncertainty bands, useful for this very purpose,
to finite (but small) temperatures up to 30 MeV, given that the necessary
computations in ChPT and in pQCD at already available in the literature. The
temperature-dependent band boundaries will be provided through the COMPOSE
repository and our own website.
