Will Smith and Jada Pinkett Smith issued a statement Tuesday denying rumors of a separation, but not everyone is convinced.

After In Touch magazine reported the breakup of their 13-year marriage, the Pinkett-Smiths reluctantly released a denial: “Although we are reluctant to respond to these types of press reports, the rumors circulating about our relationship are completely false. Our marriage is intact.”

TMZ asked “private sources” about Will and Jada’s statement, and the sources said “the language was carefully constructed.” The same sources told TMZ that the marriage was in trouble, and while separating is “definitely a possibilty,” the couple is still committed to making their marriage work.

On Wednesday, In Touch reported that recently single Marc Anthony may to be blame for Will and Jada’s marriage troubles. An “insider” told In Touch that Smith was increasingly concerned about the relationshp between his wife and her “HawthoRNe” co-star. “Will expressed worry to some close to him that there was more than just on-set chemistry between Jada and Marc,” the insider said.

According to the source, Will was suspicious enough that in August, he dropped in unannounced to the couple’s home where Jada was reportedly staying at the time, and found Anthony and his wife together. “He left crying,” the source told In Touch. “He was very upset. He said Marc was with Jada.”

TMZ discredited at least a portion of the In Touch story, reporting that a Pinkett Smith rep had denied allegations of infidelity, and pointing out an apparent chronological error in the story: “A source close to the couple tells TMZ … Marc was at Jada’s home, but in April not August, when he went over to look at a DVD.”

(Eyebrow raised)