Lanny Davis, a Democratic public relations guru with longstanding ties to the Clintons, has signed a $75,000 monthly contract to help drop a federal case against a Ukrainian oligarch who faces bribery charges in the U.S. Dmitry Firtash, one of Ukraine’s richest men, hired Davis’s firm to help “correct the public record” regarding the federal case pending against the oligarch, according to a filing with the Justice Department’s Foreign Agents Registration Act unit. Davis will work with Firtash’s attorney, Dan Webb, in order to “prove that the indictment is invalid and should be dropped,” according to a consulting agreement Firtash signed with Davis’s firm, David Goldberg & Galper. Firtash, who made his fortune in the energy industry, has been fighting extradition proceedings to avoid trial in the U.S. on charges that he attempted to bribe Indian government officials for rights to mine titanium. Federal prosecutors in Chicago obtained the grand …