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Reb was the guy i always pointed to when people said you can't shred with thin picks. He uses .60mm Orange Tortex for christ sakes.
I use that exact pick as well, of course I'm a bit of a Beach fan so that may have something to do with it. I like to believe the medium thickness adds a hint of chewiness to single notes (which I love). I like his taste in guitars too actually, using my poor mans version of one in this track (and you can spot the orange Tortex as well).
Do you use the EMG 85 Like He does?