Yes, dug right out of the South Dakota soil today while it was snowing and 25°! After doing a little reading this fall I decided to try to "keep" our carrots in the ground and use them as we needed them. It was kind of a last minute decision as we were rushing around getting ready for a trip and we didn't have time to deal with them. So I mounded about 10" of silage over them and hoped for the best. (I used silage because that is what I had available. Straw, hay, and sand will work as well.) When we dug some up about a month later we were surprised at how sweet they were. We have really enjoyed digging carrots all winter. We still have enough to last for another month or so!
"The earth is the LORD'S, and the fullness thereof..."