Hello
In his article on collecting Bear Kodiaks Matt Dickerson explains: "Bear had serious trouble with the riser wood causing cracks in the glass, presumably due to the wood not being seasoned properly. Many of these bows were returned to the factory, refinished for free and stamped with a star. These generally have no serial number as they were no longer covered under warranty."
I owned a 1961 Polar which was stamped with a star over the serial #, and currently I own a 1962 Kodiak Special which is so stamped.