Private Swiss .ch Domain Registration?

I want to register a Swiss domain name privately. I was looking at Switch.ch and they say they keep your details private, but when I search for the WHOIS for random sites I see all sorts of independent registrants with their names and contact information still public.

Does anybody have experience with registering a .ch name privately? What registrar did you use?

Thanks in advance.

 

Only the email address is kept private, I don't think you can have your other information hidden.