  We present theoretical predictions for top-quark total cross sections and for
differential distributions in top-quark transverse momentum and rapidity.
Third-order soft gluon corrections are added to the complete NNLO quantities to
provide approximate N$^3$LO (aN$^3$LO) results, and electroweak corrections at
NLO are also included. We calculate the theoretical uncertainties from scale
dependence and from parton distribution functions in the proton, and estimate
their impact on the total and differential cross sections. The higher-order
corrections are large and they reduce the scale uncertainties. The results
presented in this work include the best current theoretical input and are in
good agreement with recent data from the LHC.
