New Hampshire Representative Max Abramson (R-Seabrook) has introduced HB 570. It would ease ballot access for new and previously unqualified parties. It sets up a minor party classification in the law. A minor party is a group with at least 500 registered members. It would nominate by convention.
The bill also expands the definition of a qualified major party, to include having received at least 4% for president. Currently only elections for U.S. Senate and Governor count toward meeting the 4% vote test. Here is the bill’s text.