What is the date of a second habeas petition?

Petitioner filed his first habeas petition on May 19, 2016, through counsel, soon after he was returned to local custody following his restoration to competence. Petitioner did not allege there was reason for the judge to doubt his competence at the time of the May 20, 2015, plea but relied on the reports described above as supporting a claim that he was in fact incompetent. The superior court denied the petition, largely based on the reasoning of People v. Smith (2003) 110 Cal.App.4th 492 (Smith), which we discuss post.