Robert F. Kennedy, Jr., who is running for president as an independent, announced on Tuesday that he had filed paperwork to create his own political party in six states — an effort to get his name on the ballot with fewer voter signatures than would be required for an unaffiliated candidate.

Election offices in North Carolina and Hawaii confirmed that they had received the campaign’s applications for a new party, “We the People,” as did the Texas secretary of state’s office for the “Texas Independent Party.” Officials in California and Delaware did not respond to inquiries. A spokeswoman for Mississippi’s secretary of state said Mr. Kennedy’s team had contacted the office, but a filing could not be immediately confirmed because of a weather-related disruption.