One of the revisions of the slim PlayStation 2 was the V13. They were found in some of the SCPH-7000x models available worldwide. The V13 is a slightly improved version of the V12 which fixed the laser issues with the V12, while still retaining the full PS1 backwards compatibility lacking in later models. Matching console model numbers and board numbers are listed below.
Here are some tips I have for you when you are soldering your chip into a V13.
The alternative A, B, G, H, I points are much easier to solder to than the points directly on the chip. Just stuck a longer 30 AWG wire through the via and apply a little bit of solder.