The statement is strongly confirmed by the provided evidence. Multiple credible sources (CNN, CNBC, Yahoo Finance, Investopedia) corroborate that the S&P 500 reached a record high amid a government shutdown. Specifically, Source 10 from CNBC explicitly states, 'The S&P 500 rose 0.34% to end the day at 6,711.20, a new record close for the index,' which directly confirms the surpassing of the 6,700 milestone.