To call a person using Voice over IP (VoIP) technology. Also voip.
One Internet telephone service provider is rolling out a cross-country radio campaign that is a little suggestive in an effort to get "VoIP" into the vernacular. The Vonage Canada commercials feature characters who talk about "VoIPing" their partners twice in the morning or fondly recall the first time they VoIPed. "We're making VoIP a verb," said Joe Parent, Vonage's vice-president of marketing and business development. "We're not trying to be racy ... we're trying to be different."
Jonathan Ratner, "Lexical query: What are we going to call somebody who has never been VoIPed?," The National Post, May 17, 2005
Have you ever Voiped? If not, you probably know someone who has. Voice Over Internet Protocol, for the uninitiated, is a way of making very cheap phone calls using an internet connection instead of a conventional phone line or, indeed, a mobile.
"Talking about a revolution," The Guardian (London), May 26, 2005
But there is another impediment to widespread VoIPing: the CRTC.
The federal regulator has sent very confusing signals on voip, largely, I think, because its instinct always is to regulate everything it can, but voip could be beyond its reach without the co-operation of internet service providers.
Lorne Gunter, "Technology offers new ways to connect," The Edmonton Journal, April 23, 2004
Here's an even earlier citation, although the sense used here is a bit different than the one in my definition:
"Click-to-call" is one of the current buzzwords. Surf to a website, click on a button, and get VoIPed to a live person.
John Jainschigg, "The Click-to-Call Challenge," Computer Telephony, March 1, 2000