Austria has the same basically. The interior ministry runs a few central registries for these things. You have a unique number hat follows you around and your records are linked through it. It's very convenient.

Not only does it simolify tings, it also has some other advantages. For instance becayse your car license olate is through that system linked to your home adress that automatically updates people with Austrian licdnse placea typically do not get clamped.