Google brought me here but I had to do a lot of testing to figure out how to do get a new jack on my 600vi. However, I have now successfully fixed them, sound is good and the remote is working well etc, so for posterity - and to save others the hassle - here is the colour coding in the cable of my UE 600vi.
A note beforehand. The wires in the 600vi cable are coated, i.e. each wire has a thin, insulting coating over it which you can't really see but needs to come off in order to make a reliable connection (but only where you want to solder!). I'm no expert in doing this but I was successful by prepping each colour wire and then - with tweezers - holding the end of it submerged in a pool of hot, molten solder for around a minute. This burns off the coating and tins the wire without oxidising it. Practice on a cutoff and you'll soon get the hang of it, you can check quickly and plunge it back in etc. I read elsewhere to set your soldering iron to 300C. Mine doesn't have a temp control so I can't comment on that.
Initially it looks like there are 5 coated wires inside the cable however inside the copper coloured wire is another red wire (albeit slightly lighter, almost 'coral'); I'll refer to this wire as 'coral' from here on for clarity. You'll need to separate these two (copper outer and coral inner) and twist the coper back into a single wire; then you'll have 6 wires; red, green, blue, copper (clear coated wire), coral and a dark brown (almost black) one. The UE 600vi have separate channel grounds and they correspond as follows.
LEFT CHANNEL POSITIVE - BLUE
LEFT CHANNEL NEGATIVE - GREEN
RIGHT CHANNEL POSITIVE - RED
RIGHT CHANNEL NEGATIVE - DARK BROWN/BLACK
MIC - CORAL/SLIGHTLY LIGHTER RED
MIC GROUND/COMMON GROUND - COPPER (CLEAR COATED WIRE)
For a the vast majority of mobile devices with a 4-pole TRRS connection (CITA / AHJ, which includes iPhones and most modern Android devices) that means the following:
Tip - BLUE - L+
Ring 1 - RED - R+
Ring 2 - GREEN + DARK BROWN/BLACK + COPPER - L-,R-,Mic Gnd (i.e. 3 wires to Ring 2)
Sleeve - CORAL - Mic
I hope this is helpful to someone and saves time/effort. Regards, Ben
EDIT:
Check your device, you can start here: https://en.wikipedia.org/wiki/Phone_connector_(audio)#TRRS_standards
Some devices will be OMTP rather than CITA/AHJ in which case you need to swap Ring 2 and Sleeve connections when soldering.