Air date: January 14, 2012, 15:00 UTC (10 a.m. EST)
Synopsis: “Pinkie Pie tries babysitting Cake’s twin toddlers but finds it harder than she thought.” (Zap2it)
This may of course be episode 12 in the production order, as it says on the Zap2it page, given the switch recently.
Update 2011-12-20 13:49Z: No longer a rumor.
Update 2011-12-20 14:13Z: I forgot to mention that I seem to be first again. Yay and all!
Update 2012-01-14 14:50Z: For livestreams and downloads, see Derpy Hooves News.