Both jurists are currently appeals court judges. Hagedorn beat Neubauer for outgoing liberal Justice Shirley Abrahamson’s seat by just 5,962 votes, or roughly half a percent, Wisconsin Public Radio reports.

“We made history in a significant way and our margin of victory looks to be insurmountable,” Hagedorn said, declaring victory. “For me, this is a win not just for me, but a win for the state of Wisconsin. I ran this race saying my commitment is to the rule of law. The job of the judge is to say what the law is and not what I think the law should be. I think that won last night.”

Neubauer has not yet conceded, and is instead raising money to pay for a potential recount. “This isn’t the outcome we hoped for, but it’s what our campaign for justice must now tackle: with the vote total neck and neck, it looks like we’re heading into a potential recount,” her campaign said in a statement. “We ran this campaign without bringing in partisan politics, true to Lisa’s vision for an impartial, fair, and just Supreme Court. Unfortunately, we faced a deluge of outside spending — over $1 million in the last week alone.”

Hagedorn, a former assistant attorney general and chief counsel to former Wisconsin Gov. Scott Walker, was attacked during the campaign for past writings in which he forcefully denounced both abortion and pro-LGBT judicial activism. “The Lord has laid three fundamental passions on my heart: 1) Protecting the dignity and sanctity of human life, 2) Defending and preserving the institution of marriage, and 3) Promoting racial reconciliation in the Church and culture,” he wrote in 2005.

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