  We present $V$-band photometry of the 20,000 brightest asteroids using data
from the All-Sky Automated Survey for Supernovae (ASAS-SN) between 2012 and
2018. We were able to apply the convex inversion method to more than 5,000
asteroids with more than 60 good measurements in order to derive their sidereal
rotation periods, spin axis orientations, and shape models. We derive unique
spin state and shape solutions for 760 asteroids, including 163 new
determinations. This corresponds to a success rate of about 15%, which is
significantly higher than the success rate previously achieved using photometry
from surveys. We derive the first sidereal rotation periods for additional 69
asteroids. We find good agreement in spin periods and pole orientations for
objects with prior solutions. We obtain a statistical sample of asteroid
physical properties that is sufficient for the detection of several previously
known trends, such as the underrepresentation of slow rotators in current
databases, and the anisotropic distribution of spin orientations driven by the
nongravitational forces. We also investigate the dependence of spin
orientations on the rotation period. Since 2018, ASAS-SN has been observing the
sky with higher cadence and deeper limiting magnitude, which will lead to many
more new solutions in just a few years.
