Hillary Clinton aide Huma Abedin and her jailed sext-a-holic hubby, Anthony Weiner, have withdrawn their pending divorce case, The Post has learned. Abedin was scheduled to appear in Manhattan Supreme Court on Wednesday afternoon for a compliance conference in their contested divorce. Instead, one of her attorneys submitted paperwork signed by both parties agreeing to end the case, a court source told The Post. The judge announced from the bench that the case was “discontinued.” Abedin’s lawyer, Charles Miller, told The Post, “In order to ensure the proceedings have a minimal impact on their child, the parties have decided to attempt to reach a settlement swiftly and privately.” But a family law expert said Abedin and Weiner would still have to file for divorce in court if they want their settlement to be legally binding. Leading divorce attorney Michael Stutman, who is not involved in the case, said the former couple must agree on how to divvy up their assets and share custody of their 6-year-old son before bringing a second case. Stutman speculated that they may also have yanked the case for tax or other economic reasons. Abedin finally filed for the split last May just hours after Weiner pleaded guilty to sexting with a minor. She had stood by the much-mocked former congressman since 2011, when, a year into their marriage, he tearfully admitted Tweeting out an underwear selfie. The disgraced pol is serving nearly two years of hard time in a Massachusetts federal lockup. His lawyer did not immediately return a call for comment.