[Update: A federal judge denied Jeffrey Epstein bail.]

A strange thing happened when Jeffrey Epstein came back to New York City after being branded a sex offender: His reputation appeared to rise.

In 2010, the year after he got out of a Florida jail, Katie Couric and George Stephanopoulos dined at his Manhattan mansion with a British royal. The next year, Mr. Epstein was photographed at a “billionaire’s dinner” attended by tech titans like Jeff Bezos and Elon Musk. A page popped up on Harvard University’s website lauding his accomplishments, and superlative-filled news releases described his lofty ambitions as he dedicated $10 million to charitable causes.

Powerful female friends served as social guarantors: Peggy Siegal, a gatekeeper for A-list events, included him in movie screenings, and Dr. Eva Andersson-Dubin, a champion of women’s health, maintained a friendship that some felt gave him credibility. Mr. Epstein put up a website showing Stephen Hawking and other luminaries at a science gathering he had organized.

“If you looked up Jeffrey Epstein online in 2012, you would see what we all saw,” Leon Botstein, the president of Bard College, said in an interview. He seemed “like an ex-con who had done well on Wall Street,” who was close to the Clintons and gave money to academic pursuits, Dr. Botstein said. That was why, he noted, Bard accepted an unsolicited $50,000 in 2011 for its high schools, followed later that year and in 2012 by another $75,000 in donations.