So, especially if you are a pianist and you want to learn the tune accurately, I would recommend you check out those sources.
I believe traditional jazz bands 'edited' the original composition - as so often happened with such piano originals. The essence and spirit of the piece were captured; but some of the trickier runs - easy enough on the piano - were simplified for the cornet player.
So it ended up with a lead-sheet something like this, which I have tried on both my keyboard and my cornet. It sounds fine.