Not to be an alarmist, but just because the code matches the certificate doesn't mean it's real. I bought one whose code matched the certificate, but when I took it in to Cartier for repair, it turned out that the code belonged to a ceramic love ring, not a JUC. Someone had faked both the certificate and the code on the bracelet.
Can you take it into Cartier for a polish or something? They'll immediately start asking questions about the provenance of the piece if it seems off. I was told that all codes were entered in a database when purchased, so you can even match the stamp of the "originating store" to their records.