On July 28, U.S. District Court Judge Joseph LaPlante, a Bush Jr. appointee, issued an order in Libertarian Party of New Hampshire v Gardner, 1:20cv-688. Due to the health crisis, he cut the number of signatures to 65% of the normal 3,000 (for statewide office). The 2020 requirement is thus 1,950. Here is the 51-page opinion.
This is the first ballot access lawsuit ever won by a minor party or independent candidate in New Hampshire. New Hampshire had been the only state in which a ballot access lawsuit filed by a minor party or independent candidate had never won. This sentence relates to lawsuits over the constitutionality of the state law, or the validity of the state law under the federal Voting Rights Act.