I’ve called those finish ring shanks Paneling Nails. Not quite a finish nail though - http://www.aftfasteners.com/panel-board-nails/
Before that though, I would just get a little wood putty. You can buy it in almost any color in small jars. It’s not messy at all.
When a problem nail raises its head , counter sink it about 1-2mm, and fill on top, in the counter sunk hole with putty.