The document discusses private and public user identities in 3GPP systems. Private user identities uniquely identify a subscription and are permanently allocated. They are stored and used for authentication during registration. If there is no ISIM application, the private identity can be derived from the IMSI. Public user identities are provisioned and stored in the HSS but are not authenticated during registration. Each public identity is associated with a single service profile, while a subscription can have multiple service profiles associated with one or more public identities. Public identities can be shared across private identities within the same subscription.