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Mr. Huntsman, who has hinged his entire campaign on New Hampshire, struck a similar note, playing up the idea that Republicans are still looking for an alternative to Mr. Romney.

“Seventy-five percent of the party, 75 percent didn’t want the status quo with Romney,” he told reporters while he campaigns here, offering himself as an alternative.

Mr. Paul delivered some of the stiffest punches of the day when he called Mr. Gingrich a “chicken hawk.” In an appearance on CNN, the Texan pushed back against Mr. Gingrich’s recent claims that his foreign policy platform is “stunningly dangerous” by highlighting the fact that he has supported military action overseas after avoiding service as a young man.

“You know when Newt Gingrich was called to service in the 1960s during the Vietnam era, guess what he thought about danger? He chickened out on that and he got a deferment. He didn’t even go. So right now, he’s sending these young kids over there to endure the danger,” he said, adding that “some people call that a chicken hawk and I think he falls into that category.”

Asked about the comments, Mr. Gingrich told reporters that Mr. Paul’s comments were inaccurate.

“This is a man that says wild and outrageous things with no facts and who later denies having said them,” he said. “I had two children during that period, I never asked for a deferment because during the period I was a father, and it was automatic.”