At National Review's The Corner, Peter Wehner with an apparent scoop --
Bill Kristol will be heard from again and again, above all, of course, from his current perch at The Weekly Standard, but also, I gather, from a new perch at the Washington Post (where he will have a monthly column), as well as from his seat at Fox News and in other venues. He is easily among the most intelligent, creative, and articulate conservative voices in America—a fact, upon which I would be willing to bet a large sum of money, is what troubled the Times ... That is a tribute to both the rightness of Kristol’s views and his unwillingness to temper them for the sake of the Times. Unlike, say, the Washington Post under the leadership of Fred Hiatt, at the Times, real intellectual diversity is something to be avoided.
UPDATE: Politico also has the unsourced story.