One of my published papers has a typo in the title. I have found errors of various kinds in my other papers (who hasn't) and never cared to make corrections, but I often refer people to this particular paper and the fact that there is a typo in the title feels somewhat akward to me. Should I ask the publisher to change it? I think they might update their database and the paper webpage on their site, but I doubt they would change the pdf and they will obviously not change the printed version. Hence there would be some discrepancy.
Update: my request was denied.