  We classify dp-minimal integral domains, building off the existing
classification of dp-minimal fields and dp-minimal valuation rings. We show
that if R is a dp-minimal integral domain, then R is a field or a valuation
ring or arises from the following construction: there is a dp-minimal valuation
overring O extending R, a proper ideal I in O, and a finite subring S in O/I
such that R is the preimage of S in O.
