Search the public registry by the name on the certificate, the registry number (like CAE-4K7M2P), or the star's catalogue designation (like HD 96833).
Only registered, paid stars appear here, listed by the name their owner gave them. Looking for your own order and certificate instead? Use Find my order on the home page. And the honest bit, always: a Caelum naming is a symbolic keepsake, not an official IAU designation. Read more.