Which is why Delta nicely puts this at the bottom of the page...
The advertised price is not an offer, and is subject to change prior to the completion of the purchase, which may take up to 3 minutes to verify seating availability at the advertised price and your credit card information, so please be patient. When you click PURCHASE, you agree to accept all Fare Rules for each flight and all terms in Delta's applicable Contract of Carriage and authorize Delta to charge your credit card. No contract exists until you receive confirmation that your credit card payment has been accepted.
I think it's total BS, but I guess in the world of online ticketing and inventory changing on a moments notice, they need to protect themselves.