  Due to dynamical friction stellar mass black holes and neutron stars are
expected to form high density cusps in the inner parsec of our Galaxy. These
compact remnants, expected to number around 20000, may be accreting cold dense
gas present there, and give rise to potentially observable X-ray emission. Here
we build a simple but detailed time-dependent model of such emission. We find
that at least several X-ray sources of this nature should be detectable with
Chandra at any one time. Turning this issue around, we also ask a question of
what current observational constraints might be telling us about the total
number of compact remnants. A cusp with ~ 40 thousand black holes over-predicts
the number of discrete sources and the total X-ray luminosity of the inner
parsec, and is hence ruled out. Future observations of the distribution and
orbits of the cold ionised gas in the inner parsec of Sgr A* will put tighter
constraints on the cusp of compact remnants.
