  We reexamine the top quark production cross section at the Tevatron and LHC,
in the light of recent progress on the resummation of logarithmic soft gluon
corrections. We find that resummation effects are much smaller than previously
thought. We also compute Coulombic threshold effects, and find them negligible.
We update the discussion of uncertainties due to scale dependence, the value of
the strong coupling constant, and the parton density parametrization. Our
current best estimate of the top production cross section at the Tevatron and
its error is $\sigma(\mt=175\,{\rm GeV})=4.75{+0.73\atop-0.62}$.
