Anthony Weiner has released a new campaign video saying he won't quit the race.
The one-minute-long video was posted on his campaign's website Tuesday evening.
Speaking directly into the camera, the former congressman addresses politicians and newspaper editors who have said he should quit.
He says they don't know New York or him and that quitting isn't what New Yorkers do, they "fight through tough things."
Last week, Weiner acknowledged exchanging sexually explicit messages online after similar behavior spurred his resignation from Congress in 2011. He says in the video if someone reveals "embarrassing" things about your private life, you have to talk about it.
At a question-and-answer session with voters on City Island in the Bronx Tuesday night, Weiner said his behavior shouldn't disqualify him from the race.
"I violated trust to my wife. I did that. That was wrong," he said in an impassioned response to a voter's question of how New Yorkers could trust him. "That was wrong, and people have every right in the world to say that disqualifies me. But I am not going to quit based on that."
There was at least a glimmer of support among the voters at the meeting; Weiner got some applause when he told an attendee he wasn't backing down.
"At a certain point, you've got to say, 'Look, I don't quit. New Yorkers don't quit,'" he said, echoing the ad he released earlier in the day. "I am not going to go into the corner and curl up because somebody found out something embarrassing about me."
"Sir, I say to you with all due respect, if you don't like to vote for me, then don't vote for me. But don't deny these people the right to vote for me if they want to."
-- Ida Siegal contributed to this report.