If you want to be sure you can replicate my research. You'll need an ohmmeter, pen and paper, coffee or tea, and cookies (lots!).
Search for the pin that has almost zero ohms against places on the board that are obviously ground, e.g. around the screw holes.* This pin is obviously GND.
Then try every pin against every other pin and put the results in a table. Make sure you note the polarity of the ohmmeter, that will be important later.
There should be one pin with a kind of visibly slow change in resistance against GND that rises towards infinity and after swapping the meter polarity, slowly goes up again. It is probably VCC -- I guess there is a capacitator between VCC and GND to filter out voltage spikes/troughs.
Some pins have a brief flicker in resistance when connecting the meter, then they are at a static resistance against GND (or VCC? sorry, I write from memory, hence so many weasel words...). This should be due to semiconductors. There are two of them with about the same resistance to GND. These ought to be the D+/D- pins.
One pin with a very low resistance to GND I could not pin down (SNCR), I guess it is the microphone ground.
And then it is kind of tempting to assume that the microphone and the camera pins were kept separate in the connector.
After I figured the cam connectors I tested them soldered to a standard usb-A plug and through a sacrificable olde USB 1.1 hub before going serious on the mini.
I also added two leftover plugs, see image.
Be very careful on the side of mechanical strain. The smaller-than-a-grain-of-sand-sized SMDs are impossible to find and solder back on! If you find them in the carpet, that is...
*what did you just think, ha? concentrate, or you will fry it again! :-)
EDIT: with the tiny pins, it might be a good idea to do the measuring not at the connector but somewhere at the cable's other end. Plug it in first ;-))
Edit2: uploaded image: