Once again, former House speaker Newt Gingrich is caught between a rock and a hard place in his pledge to run a positive campaign.

Newt Gingrich wants his supporters to pull ads attacking a rival. (Allison Joyce/GETTY IMAGES)

“I am calling for the Winning Our Future Super-PAC supporting me to either edit its “King of Bain” advertisement and movie to remove its inaccuracies, or to pull it off the air and off the internet entirely,” Gingrich said in a statement.

Rick Tyler, a spokesman for Winning Our Future, said in a statement that he “found the documentation to be in order and comprehensive” but would be happy to revise the ad if Romney answered questions about the history of his financial relationship with Bain.

Gingrich cannot legally coordinate with the super PAC.

Our Factchecker (aka Glenn Kessler) gave the “King of Bain” documentary “4 Pinocchios,” writing that the film is filled with inaccuracies and that the accusations against Romney and his former firm, Bain Capital, are “highly misleading.”

Gingrich cited that evaluation in calling on Winning Our Future to take the documentary — and the television ads derived from it — off the air and off the internet.

Gingrich told supporters Friday morning that the decision was “why my campaign is different than some other people’s campaign.”

At the same time he pushed Romney to follow his lead, as ads from the pro-Romney super PAC Restore Our Future have also been deemed inaccurate.

“Speaker Gingrich is just distracting from the fact that the movie he has been touting for days – including how well-sourced it is – turned out to be full of blatant falsehoods and fabrications,” Romney spokeswoman Andrea Saul told The Fix in response.

In the NBC News debate last weekend, Romney said that he couldn’t control the super PACs supporting his bid but that “if there’s anything in [their ads] that’s wrong, I hope they take it out.”

Gingrich has given mixed signals on how negative he plans to get; in recent days he appeared to pull away from his attacks on Bain Capital before reviving the charges.