Once I located the parts involved in the factory exploded drawing I ordered a cable and spring. Then, when I had the dishwasher pulled out I saw that both cables had simply slipped off of their pulleys and that the door needed to be re-set properly into its drop-down metal studs.
So now I have a spare set for any problems in the future! Very easy - two screws under the counter and pull forward. Shipping was quick and easy. First time customer.