The one-page notice of appeal was filled out by hand and filed Friday shortly after the judge issued the sentence.
"It's a long shot," Loyola Law School professor Laurie Levenson tells PEOPLE of the appeal's chances. "I wouldn't hold my breath. It was a clear-cut case against her. Paris's excuses didn't ring true."
Lawrence Taylor, a 30-year DUI attorney, says, "Her chances of winning an appeal are little to none. The prosecutors had a slam dunk case. The evidence was overwhelming that she repeatedly violated probation."
In all, it has been a tumultuous few days for Hilton. After the sentencing, she was so upset she fired her longtime publicist – then scheduled a dinner with him to discuss the matter.
She also spoke out for the first time over the weekend. Described as visibly shaken and tearful, the heiress, 26, who had been found in violation of her probation after she drove with a suspended license, made her feelings clear to photographers waiting outside her Los Angeles home on Saturday night.
"I told the truth," said Hilton, according to Reuters (and first reported by TMZ.) "I feel that I was treated unfairly, and that the sentence is both cruel and unwarranted. I don't deserve this."
Hilton, however, did foretell of her punishment in an interview she gave beforehand to Harper's Bazaar, for its June issue. "I think I get in more trouble just because of who I am," she says, as reported in Monday's New York Daily News.
"The cops do it all the time," she is quoted as saying. "They'll just pull me over to hit on me. It's really annoying. They're like, 'What's your phone number? Want to go to dinner?' "
Despite her current legal woes, Hilton says that police rarely write her up. "They just pull me over, and the paparazzi, of course, take a picture," she complains. "All the time. I have so many cops' business cards."
The Simple Life star must report to jail by June 5, and it's also not likely that she will benefit from an early release program for non-violent offenders that has been used to ease overcrowding in Los Angeles jails.
"(That program) is not in effect for Paris Hilton because of the judge's order," says L.A. Sheriffs spokesman Steve Whitmore. "It's our understanding she is most likely going to do 45 days."
At her hearing, Hilton had told Los Angeles Superior Court Judge Michael Sauer that her publicist Elliot Mintz had repeatedly informed her that her license had been suspended for only 30 days and that she could still drive for work-related matters. After the hearing, she fired Mintz.
"Paris was very upset after the hearing as you can well imagine. Extremely upset. I was equally as upset," Mintz tells PEOPLE. "But the (firing) action was generated by her. I completely understood the reaction. She was in a traumatic, frightened state on Friday, when the judge made the insane ruling. I understood her reaction from the very second it occurred."
Since then, emotions have cooled, and Mintz says he plans to meet with Hilton over dinner.
"We're going to talk the way intelligent folks speak to each other. Not on cell phones and blackberries," he says. "We are going to see where it takes us."
He adds: "I'm more interested in resolution to anger. The process of healing is always more intoxicating to me than the separation."
Additional reporting by KEN LEE and BRYAN ALEXANDER