For colleges and libraries seeking a boldfaced name for a guest lecturer, few come bigger than Sonia Sotomayor, the Supreme Court justice who rose from poverty in the Bronx to the nation’s highest court. Details of those events, largely out of public view, were obtained by The Associated Press through more than 100 open records requests to public institutions. The resulting tens of thousands of pages of documents offer a rare look at Sotomayor and her fellow justices beyond their official duties.