The right grease or oil?

Still working on the 68 Barracuda. Thought I was done with much of the work until I climbed under the dash. Who put all that rust up in there? Anyway, I took off the brake pedal, sanded it down, painted it etc. My question is this, it has a tube that fits over a pivot shaft. The shaft is coated with oil/grease? Does anyone know what type of oil or grease to use? Thanks.