The possibility to produce, trap and study antihydrogen atoms rests up
on the recent availability of extremely cold antiprotons in a Penning
trap. Over the last five years, our TRAP Collaboration has slowed, coo
led and stored antiprotons at energies 10(10) lower than was previousl
y possible. The storage time exceeds 3.4 months despite the extremely
low energy, which corresponds to 4.2 K in temperature units. The first
example of measurements which become possible with extremely cold ant
iprotons is a comparison of the antiproton inertial masses which shows
they are the same to a fractional accuracy of 4 x 10(-8). (This is 10
00 times more accurate than previous comparisons and large additional
increases in accuracy are anticipated.) To increase the number of trap
ped antiprotons available for antihydrogen production, we have demonst
rated that we can accumulate or ''stack'' antiprotons cooled from succ
essive pulsed injections into our trap.