Identify it how? You've already correctly identified it as a 555wh. It was made in Korea in 2005, if that's what you're after.
Not sure about the trem, but it's clearly an aftermarket addition. I'm 99% sure an '05 555 would have an Edge 3, and the size of the route would seem to back that up. Most likely, someone decided to keep the Edge 3 (weird decision) and stuck an old (really old) TRS or something on it instead.
Edit: Correction, looks like it may have originally been an EdgePro II, though everything else still applies.