Preheat a pressure canner to simmering, and prepare jars and lids.
Cut pumpkin in half, scoop out seeds, cut into 1-inch-wide slices, and peel. Cut flesh into 1-inch cubes. Be sure to remove all the peel and stringy inside bits.
Bring a large pot of water to a boil and blanch the pumpkin cubes for 2 minutes.
Fill jars with blanched pumpkin cubes and cooking liquid, leaving 1-inch headspace.
Wipe rims, apply lids, and tighten bands to fingertip tight.
Load jars into a pre-heated pressure canner and screw down the lid. Vent steam for 10 minutes, then add the canning weight and bring the canner up to pressure. Once at pressure, process pint jars for 55 minutes and quart jars for 90 minutes. The times are the same at every altitude, but pressure increases at higher elevations. See the notes below.
Allow the canner to cool naturally, then remove jars and let cool completely.
Once the jars are cooled completely, check seals, label and store the jars on your pantry shelf. (Remove the rings for storage.) Any unsealed jars can be re-processed or stored in the refrigerator for immediate use.