The serial number on your Hobie Mirage Lynx kayak can be found on the back right, starboard stern to be nautical correct, side of the kayak.
It is digitally etched into the material and is extremely hard to see.
if you are having a hard time reading the serial number on your Hobie Lynx Kayak try rubbing some dirt on the etch in serial numbers, this usually provides a nice contrast allowing you to read the serial numbers easier.
You can also take a piece of paper and a pencil and rub over the serial number, this will transfer the serial # onto the paper allowing you to ready it.
The serial numbers on the Lynx are in this style formate CCMM11291B121