I have one web site which have main domain let's say example.com. The same web site hosted on three web servers in different data-centers across globe - USA, Europe and Asia. The web site and Google Analytic code are identical on all servers. I would like to track web servers in Analytic to know from which server user get server a web site. Should I create three different Analytic sites and use different Analytics code in every server? What I don't like about this idea that I will not see all users stats because it will be separated in three Analytics profiles.
Could you please suggest better solution for my problem?