How can I prove my publication list is mine?
When it comes to hiring a faculty member, you can expect that members of the search committee will look at a candidate's papers.  Since the published paper typically shows the affiliation of the author and the past affiliations of a candidate will appear on the CV, it would generally be obvious if a paper was authored by someone other than the candidate with the same or similar name.  

Of course, a candidate could lie about his/her past affiliations, but we have letters of recommendation and reference phone calls to ensure that doesn't happen.