Thanks for the replies. I know about the "search" feature but couldn't find anything that directly addressed this question. Plenty of stuff on Ding, etc.
Even looking at SW's FAQ's this is a little confusing. It says you can enter your number on two different computers but says nothing about actually receiving credit twice, etc.
Heck, I have some old laptops laying around. Guess I will install Ding on all of them and get a freebie soon!