The Real Question: How can you specify a custom URL for Addthis?
jQuery Solution
HTML
<a href="http://www.addthis.com/bookmark.php" class="addthis_button" id="youmusthaveanid">
jQuery
$('#youridhere').attr('addthis:url', $('#yourinput').val);
Note: Remember you will have to trigger this on every update of the text box if it's content changes after the Javascript has been run on initial load. PHP Solution
HTML/PHP
<a href="http://www.addthis.com/bookmark.php" class="addthis_button" addthis:url="<?=$yourvariablehere?>"
Source: Addthis API Docs