Ok draggin-up an oldie but subject matter was not completed.
RM125M cylinder 12110-41001
RM125S cylinder 12110-41002
I just got an American listing for their kit '75 RM125's. If you find a 12110-41002 listed anywhere, check on the actual description, American Suzuki have the description wrong, it is listed as a TM125 piston.
I actually just bought a piston off ebay, listed for a TM125, not using the above number but it did have two part numbers on the box (12110-41731 & 12110-28753, the latter number is the kit piston for the S, all websites list it as a TM125 piston), it was $12, it arrived today, it is a kit 'S' piston, with .6mm ring grooves, obviously the dealer kind of knew it would not fit a TM (although it will with .6mm rings).
So, I now have the part number for RM125S piston rings, again, American Suzuki have the description wrong, they are listed for TM125 ! but I figure the ebay selling dealers might know they won't work on a standard TM piston but they don't know what, so they are super cheap, I just bought a set for $10 :-)