Claim: Åsmund Kåresson invented the Uppland runestone style; he listed himself as Thor Odinsson's son on some of his work.
Evidence: One inscription that was found at Bo gård on the island of Lidingö, listed in Rundata as U Fv1986;84, is signed by Åsmund and dedicated to his grandfather named Steinn. The stone's runic text also states that Steinn's sons were named Sibbi, Geirbjôrn, and Ulfr, but it is not known if one of these was the father of Åsmund. In addition, in two inscriptions, U 956 in Vedyxa and Gs 11 in Järvsta, Åsmund listed his patronym with the text osmuntr kara sun or "Ásmundr Kári's son."