Kutcher and Moore at the White House Correspondents’ Dinner in 2009. (Lois Raimondo/THE WASHINGTON POST)

This particular celebrity-split rumor, which has not been commented on by the stars’ respective reps, stems from a cover story in Star magazine that says the couple have been living apart for months because Kutcher is supposedly a serial cheater. Oh, and also — here comes the cherry on the seedy tabloid sundae — that the “Two and a Half Men” star allegedly had a secret fling with Britney Spears.

Outlets like People magazine are adding to the rumors by noting that the two are currently on different coasts, are tweeting with less frequency and did not celebrate their sixth wedding anniversary together last weekend.

And then there’s that tweet from Moore (Twitter handle: mrskutcher), which was sent Friday and may have, according to People, some deeper meaning: “When we are offended at any man’s fault, turn to yourself & study your own failings. Then you will forget your anger. -Epictetus.”

No one has noted that the “G.I. Jane” star also tweeted a quote from basketball coaching legend John Wooden just a few days earlier. That tweet said: “Never mistake activity for achievement.” And I think we all know what that means — probably that Moore liked the quote and decided to share it.

This is not the first time the state of the couple’s marriage has been the subject of speculation. During a trip to Israel last October, there were reports that Moore, 48, and Kutcher, 33,were trying to work on their relationship because of infidelity issues. Again, the reports were never confirmed.

This entire episode is reminiscent of the recent rumors that Will Smith and Jada Pinkett-Smith were splitting up, which by all appearances seem to be false. We’ll have to wait and see whether Kutcher and Moore borrow from the Pinkett-Smith playbook and issue a statement letting us all know that their marriage remains intact.