Hohner Shark Fin SE603 serial?

Hello all, I’m currently restoring a Hohner Shark Fin that was a model issued through the Sears Wishbook in either 1984 or 1985. Hope it’s ok, I’ll attempt to post a link to the video series. My question is, was there a serial number assigned and stamped on the Shark Fins that were issued through Sears Catalogs? If so, where is it located?