New York (CNN) Now that the special counsel's office has taken the rare step of disputing a news report about its investigation, BuzzFeed is challenging the special counsel to be more specific.

"We stand by the reporting in this story," BuzzFeed News editor in chief Ben Smith said on "Anderson Cooper 360" Friday evening.

"We spoke to, as we described in the story, two federal law enforcement officials involved in the investigation -- we're not playing any games with that characterization -- who told us that the president directed Michael Cohen to lie to Congress," Smith said.

He described the special counsel's push-back as "vague," and said, "We really urge the special counsel to make it clear what he's disputing."

Special counsel Robert Mueller's office has not responded to Smith's call for more information.

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