The carrots we buy from a supermarkets spoil very fast, albeit giving many consumers a false sense of preservability due to their structural rigidity. The answer extends to many other vegetables many of us eat:

Larsinio (2006)- wikimedia, public domain, DOR 27/09/2012
The question is, why do well aerated carrots spoil in the matter of days, at room temperature?
Things to consider: a tuberous rhizome with rough and segmented skin / oxygen levels / levels of aeration / relatively high sugar content / differences in immediate microbiome / lack of possible synergies which the earth provides...the majority of antibiotics is extracted from soil microorganisms {1},{2}....