Well, I had to look it up because I'd never heard or read the word. It wasn't included anywhere on onelook.com (that's over 900 online references that don't list it), so then I tried 'ponibility' and got a definition, albeit an obsolete one.

Then there is 'dispone' listed on brainydictionary. com, but that could be a stretch to connect it even to ponibility. And corn pones, but I become absurd.