  We discuss unimodular gravity at a classical level, and in terms of its
extension into the UV through an appropriate path integral representation.
Classically, unimodular gravity is simply a gauge fixed version of General
Relativity (GR), and as such it yields identical dynamics and physical
predictions. We clarify this and explain why there is no sense in which it can
"bring a new perspective" to the cosmological constant problem. The quantum
equivalence between unimodular gravity and GR is more of a subtle question, but
we present an argument that suggests one can always maintain the equivalence up
to arbitrarily high momenta. As a corollary to this, we argue that whenever
inequivalence is seen at the quantum level, that just means we have defined two
different quantum theories that happen to share a classical limit.
