On December 1, the Tennessee Libertarian Party filed a federal lawsuit against the Tennessee law that requires 56,083 valid signatures for a party to appear on the ballot. Darnell v Hargett, m.d., 3:23cv-1266. It is assigned to U.S. District Court Judge Aleta A. Trauger, a Clinton appointee.
The Tennessee petition is so difficult, it has existed since 1961 and has not ever been used, except by the American Party in 1968. It requires a petition of 2.5% of the last gubernatorial vote. Before 1961, any party could get on the ballot just by holding a convention, with no petition required. Yet Tennessee never had more than six parties on the ballot.
UPDATE: here is the Complaint.