Not much, we fear. The Jim Thorpe Supper Club & Casino appears to have vanished into the mists of Nevada history.
Pittmann was one of several communities (Midway was another) that sprang up in the vicinity of the munitions plants that came to the southeast part of the Las Vegas Valley during World War II. These were subsequently subsumed into what is now Henderson.
Thorpe, who moved around a great deal, spent the last three years of his life in California, where he died in 1953, as you note, in poverty. However, he did manage to squeeze a brief Vegas stint in there, according to the Nevada State Museum’s Dennis McBride: "Thorpe had a small bar on Boulder Highway in Pittman called Jim Thorpe's All-American Club [the former Hut Club], opened on May 28, 1952. It didn't last long." Adds McBride, Thorpe "visited Las Vegas as early as 1930 and throughout the 1930s." Thorpe was living in a trailer park in Lomita, Calif., at the time of his death.