A crankset driven mini pump. Small enough to store easily, yet able to create high pressures with minimal effort. Take the very small device out of your jersey pocket or small saddle bag and attach it somehow to the bottom bracket on your inverted bike. Back peddle (by hand) to generate the PSI necessary to fill your tire. Anywhere from 20-100 revolutions would seem acceptable to fill a 700x32c tire.
-Kedosto