High-precision timing of radio pulsars in binary systems provides details of the current orbital parameters and usually suggests likely evolutionary histories. In the cases where general-relativistic corrections to the basic Keplerian orbit can be measured, the pulsar and companion masses can be inferred. Here we present an overview of radio pulsar timing and the set of measured pulsar masses, including our recent measurement of a 2.1 solar mass pulsar. We also discuss the implications for the neutron-star equation of state.