There should be two sets of options in project settings:
Who adds ideas:
1. Reformal's registered users.
2. Registered users of my web-site.
3. All users.
Moderation:
1. Premoderation
2. Postmoderation
I will explain item 2: Registered users of my web-site.
Add following parameters to the code of a widget: user_name, user_session_start, user_check_code
Of course, this implies generating the same parameters on the server itself.
For example:
The session time is determined in admin's settings of a web-site
The correctness of a username is checked there as well.
Users authorised via my web-site can add ideas and comments only to my project and appear in the following way: "project name > user name".