Calvin Klein’s ex-boy toy Nick Gruber has been trying hard to score party invites at Miami’s Art Basel, telling event organizers he should join the A-list guests because “I’m Calvin’s ex, and I am in Page Six.” Sources tell us that despite his recent feature in Page Six Magazine, where he revealed the designer made him take a lie- detector test to prove he wasn’t cheating, event planners haven’t exactly been whipping out their clipboards and iPads to add him to their lists. One told us, “Nick and his new boyfriend have been frantically e-mailing every publicist in town to get them into parties, citing his Page Six story. They’ve even tried to set up paparazzi-style pictures of him caught sunbathing on the beach.” Unfortunately for Gruber, Klein is also in town and had already scored many of the most coveted invites. Gruber was also spotted trying to talk his way into Vito Schnabel, Alex Dellal and Stavros Niarchos’ bash at Wall at the W South Beach on Thursday night, without success.