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Your question is complicated by the fact that people use the phrase "jump stop" in two very different ways. Some people mean: (1) "catch ball while airborne, then land on two feet simultaneously"; and other people mean (2) "catch ball while airborne, land on one foot, jump off that foot, then land on two feet simultaneously".
If you mean (1), then either foot can be the pivot after landing. As soon as one foot is lifted, the other foot becomes the pivot.
If you mean (2), then you are correct that neither foot can be used as a pivot after landing. Either foot (or both feet) may be lifted to pass or shoot, but if that foot is returned to the floor, it is traveling.
I don't have my book with me tonight, but I'm sure somebody will post the relevant rule. It's in Rule 4.
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