New Jersey’s latest iteration of property-tax relief is the “Anchor” program, the successor to the Homestead Benefit program. It extends eligibility to renters for the first time in more than a decade and also increases the income threshold for eligible homeowners. Anchor’s formal title is the “Affordable New Jersey Communities for Homeowners and Renters” program.

More than 1.7 million residents applied for an Anchor rebate, including 1.25 million homeowners and 514,000-plus renters, according to the state. The promise is that most payments will be issued before May 3, “with applications that need additional information potentially taking more time to finalize,” according to the governor’s office.

If you applied for a rebate under Anchor and opted for a direct deposit of the payment, check your bank account. We have it on the authority of Gov. Phil Murphy and Treasurer Elizabeth Maher Muoio that the first payments — more than 800,000 — were being sent out via direct deposit on Tuesday. Payments by check are set to start the first week of April.

People can check the status of their application and payment at https://www.nj.gov/treasury/taxation/anchor/index.shtml. If no payment is received by May 3, applicants are advised to use the status inquiry link or call 1-888-238-1233 for more information. If the status says a payment has been made, but has not yet been received, taxpayers should call the hotline one week after a direct deposit was supposed to go out or two weeks after a check was supposed to be mailed.