How so? The program hasn't been put on any type of probation by the NCAA that I'm aware of. We are playing basketball this year, so I'm guessing the NCAA didn't BAN the team for any season like the 1952-53 UofK Wildcats were banned from playing. You know, it's called the DEATH penalty? UofK OWNS that distinction even if you as a fair weathered fan refuse to. On top of that, in spite of cheating and getting caught, the banners in 48, 49, and 51 are still hanging even though 2 of the main players on those teams were banned from ever playing the game again. Strange stuff but true.
Answer the question. Since you don't OWN anything UofK did before you were alive. How many titles does UK have? I'm guessing 3 at the most.