It goes without saying that evidence suggesting that Mr. Trump knew of efforts to help his campaign by getting emails hacked by Russians won’t help him fend off impeachment sparked by evidence that he pressured Ukraine to aid his 2020 re-election effort. One of the favors that Mr. Trump asked of the Ukrainian president was to look into a debunked conspiracy theory blaming Ukraine rather than Russia for the 2016 election hacking.

As The Times reported, prosecutors “set out a detailed timeline showing how Mr. Stone’s interactions with Mr. Trump and his campaign officials overlapped with developments involving the Russian hackers or WikiLeaks.”

For instance, on June 14, 2016, the day that The Washington Post broke the news of the Russian hacking, phone records show three quick phone calls between Mr. Trump and Mr. Stone. Another data point: On July 31, after a brief call to Mr. Trump’s home phone, Mr. Stone directed an associate to “see Assange,” assumed to be a reference to the WikiLeaks founder Julian Assange.

The testimony of Mr. Trump’s former fixer, Michael Cohen, about what he said was a conversation in mid July 2016, raises more questions about this. “I was in Mr. Trump’s office when his secretary announced that Roger Stone was on the phone,” Mr. Cohen told the House Oversight Committee on Feb. 27. “Mr. Trump put Mr. Stone on the speakerphone. Mr. Stone told Mr. Trump that he had just gotten off the phone with Julian Assange and that Mr. Assange told Mr. Stone that, within a couple of days, there would be a massive dump of emails that would damage Hillary Clinton’s campaign. Mr. Trump responded by stating to the effect of, ‘Wouldn’t that be great.’ ”

The trial is a result of the investigation by the special counsel, Robert Mueller, but information about these phone records was not included in the version of the Mueller report released to the public, presumably because it was redacted as pertinent to a criminal investigation.

During the 2016 campaign, Mr. Stone repeatedly boasted of having an “intermediary” and a “back-channel” keeping him up-to-date about WikiLeaks’s scheduled release of information. Mr. Stone indicated to the House Intelligence Committee that a former radio host, Randy Credico, was the only person serving as his go-between. Prosecutors allege that this was false and that a conspiracy theorist, Jerome Corsi, was doing similar outreach.

Mr. Stone is accused of repeatedly threatening Mr. Credico for cooperating with investigators — or turning “stoolie,” as Mr. Stone called it — warning in one email, “Prepare to die [expletive].” He also threatened Mr. Credico’s dog.