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If you have a login for a server, should examine the "culprit" list for failed builds, and only show notifications in case you somehow match one of the culprits. For SVN this would be a simple string match, assuming your Hudson login == your SVN login; for Hg not so obvious. Probably need to have an SPI for matching culprit name from the selected SCM, with default impl being to check for substring of login name.
UI spec requests something a little different - to show a broken build notification but no popup in case you are not on the culprit list. I don't think the notifications infrastructure supports this. It would be possible to somehow adjust the popup message according to whether or not you were thought to be a culprit. Not clear whether a feature like this would be useful outside of kenai.com; it is by no means guaranteed that you would even have a Hudson login, much less that the username is identical to what you use for VCS.