Hi Mcarle, I'm Rob - I built Linkstant.
Linkstant monitors for clicks on a link to your site that it hasn't seen before.
If you put the Linkstant code on a new site, or just on new pages, then you'll only know about new links.
If you put the code on pages that have been around for a while and have a bunch of links already, then I'm afraid it will alert you when it discovers those old links for a while.
You could consider turning off the email alerts for a time, while it discovers all those old links, or you might just chose to the put the code on new content.
Hope this helps; let me know if you have any other questions!
Rob