I have checked many different sites including jogamp but couldn't manage to find any zipped,rared or jared collection of builds and javadocs.
Essentially, all the files at JogAmp can be found at http://jogamp.org/deployment/.
The latest build can be found at http://jogamp.org/deployment/jogamp-next/. I can't attest to its stability, so I don't know if it is a "latest stable" build or not, but I think it is. There's not a clear definition of what they mean when they suffix something with "-next".
You can browse around other builds by just exploring the folders at http://jogamp.org/deployment/.