The Publix Penny item is PUBLIX HOT DOGS.
This product is available today and tomorrow for .01 at participating Publix stores with a $10 purchase. You need to check with your store as some require the coupon hidden in the Sunday paper. Also some stores do not participate (FL and Coastal GA do not participate!) so make sure to ask!
Thanks Jenny!
The penny item at my Publix today (Atlanta, GA) was the fun size bags of M & M s.