  We construct a family of hyperbolic string vertices in the oriented
open-closed string field theory, generalizing the recent result on hyperbolic
closed string vertices by Costello and Zwiebach. The vertices are described by
certain bordered hyperbolic surfaces and we explain relevant collar theorems
which provide restrictions on the systolic conditions for the hyperbolic
vertices. We also give explicit descriptions of the vertices for all zero and
one-dimensional moduli spaces.
