  Recent results suggest that z ~ 6 marks the end of the reionization era. A
large sample of objects at z ~ 6, therefore, will be of enormous importance, as
it will enable us to observationally determine the exact epoch of the
reionization and the sources that are responsible for it. With the HST Advanced
Camera for Surveys (ACS) coming on line, we now have an unique opportunity to
discover a significant number of objects at z ~ 6. The pure parallel mode
implemented for the Wide Field Camera (WFC) has greatly enhanced this ability.
We present our preliminary analysis of a deep ACS/WFC parallel field at
|b|=74.4^o. We find 30 plausible z ~ 6 candidates, all of which have S/N > 7 in
the F850LP-band. The major source of contamination could be faint Galactic cool
dwarfs, and we estimated that they would contribute at most 4 objects to our
candidate list. We derived the cumulative number density of galaxies at 6.0 <=
z <= 6.5 as 2.3 arcmin^{-2} to a limit of 28.0 mag in the F850LP-band, which is
slightly higher than our prediction. If this is not due to an underestimated
contamination rate, it could possibly imply that the faint-end slope of the z ~
6 luminosity function is steeper than alpha=-1.6. At the very least, our result
suggests that galaxies with L<L^* do exist in significant number at z ~ 6 and
they could be the major sources that contributed to the reionizing photons.
