Some people like to identify themselves as 6th-generation Yerushalmim, or 7th-generation Yerushalmim. I've never met such a person, but sometimes I read about them.
As a 0th-generation Yerushamli (I don't live there) I am not especially tolerant of this pretentiousness. If I ever met a person who introduced themselves that way, I think I would answer this way. "So what? Tzidkiyahu Hamelech was an 18th generation Yerushalmi, and look how evil he was. You think you're any better than he was?"