There are only two Kitayama stones - a 1k and 8k. There are, however, some retailers who sell the 8k as a 12k but this doesn't make this a 12k stone.

On a side note, my experience with the Kitayama leads me to find that it's best use is following other fine polishing stones that may even be of greater grit rating. The Kitayama doesn't give the results of a true 8k stone all by itself yet I find it almost always improves the results of other stones.