Looks like UC78 it is, based on this FAA major repair authorization allowing them to put different brakes on it. (isn’t it amazing what can be found on the net?)
http://docs.google.com/gview?a=v&q=cache:XiWRRjD-uLsJ:www.cessnat50.org/media/manuals_and_newsletters/Brake%2520337%2520NC30F.pdf+Robert+Penny,+Versailles,+Missouri&hl=en&gl=us
LOL! No kidding. It’s almost scary how good we (freepers) are at finding info online.