Was the Hadith of the fast of David found in Sahih al-Bukhari under the chapter "Whoever had a pillow thrown to him"?

This is an authentic Hadith narrated by Al-Bukhari and others, the wording of which is: "There is no fasting superior to the fasting of David, which is half of one's lifetime: fasting one day and breaking fast one day." This Hadith is among the noble qualities of prophethood and contains great benefits, including honoring the ruler and the scholar, the permissibility of reciprocating honor to those who deserve it, and preferring humility over arrogance.