After updating to 13w24b, I loaded a test world as usual. I saved and quit to menu to run some errands and when I came back, I noticed the level said it was last played on 1 Jan, 1970. I honestly have no idea how or why it triggered, probably just a snapshot issue. It happened with newly loaded levels AND levels that I already had, just for reference.
Duplicate of MC-17863, please use the search function to see if your bug has already been submitted. Currently over 57% of tickets are being closed as duplicate.