Withey's point total tied a career high while Travis Releford pumped in 23 points for the Jayhawks (4-1), who claimed a victory in the title game of the CBE Hall of Fame Classic.
Ben McLemore helped out with 11 points and six rebounds for the victors.
The Billikens (2-2), meanwhile, couldn't follow up their semifinal win over Texas A&M with a tournament championship.
They were led by Cody Ellis with 19 points and eight boards.
Swim Week Miami Beach 2014 [PHOTOS]