My son has a stack of Bradford that was cut in the last couple of weeks. Some will fit my lathe. Your thoughts?
The pith is the heart /center stem going all the way up the tree, its the first area that cracks will develop from . You should also try and select logs with less branches coming out as the branch areas will be prone to cracking as well , below is a cut diagram , the pith / heart gets thrown away and the rest gets usedNot sure what you are saying about removing the pith. These are small branches and logs up to about 16-18 inches diameter.

Great picture.The pith is the heart /center stem going all the way up the tree, its the first area that cracks will develop from . You should also try and select logs with less branches coming out as the branch areas will be prone to cracking as well , below is a cut diagram , the pith / heart gets thrown away and the rest gets used View attachment 86952
In addition the way the branches grow from the main trunk they tend to split off, make a mess, an expense. Some towns/cities that planted them long ago for the white blooms are taking them out now.FYI, Bradford pear is typically planted as an ornamental, and many communities have outlawed them, as they are highly prolific and considered an invasive species.
You might ask a local municipality. Or call tree service companies. I saw some in a nearby town/city cut down with a sign advertising who cut it. I have too much wood right now or I would have come back with the truck.Pretty, but bad news for the native species...
I keep looking for some wood to try turning it...