The invitees for President Trump’s private dinner for customers of his cryptocurrency business on Thursday included a Chinese billionaire fighting a lawsuit from U.S. regulators, an attorney for Supreme Court Justice Clarence Thomas, a former basketball star, and executives from crypto businesses from Miami Beach to Singapore, according to a guest list obtained by The New York Times and social media posts reviewed by The Times. The dinner, at which Mr. Trump gave remarks, was an extraordinary moment in which the president leveraged his position to make money — for his crypto business and for his Virginia golf club, which hosted the event. The event’s invited guests were not known publicly beforehand, even to each other. They were identified only by the pseudonyms they used on the electronic “wallets” where they kept their $TRUMP memecoins. Most had gained an invitation by becoming one of the top 220 holders of that memecoin over a certain period of time. The top 25 of those were given V.I.P. status and afforded a more intimate gathering before the dinner and an unofficial tour of the White House on Friday.