Cal. Health & Safety Code § 103435
(a) In lieu of separate proceedings, a single petition may be filed with the superior court to change the petitioner’s name and recognize the change to the petitioner’s gender and sex identifier and, if requested, to order the issuance of a new birth certificate, marriage license and certificate, confidential marriage license and certificate, or birth certificate of the petitioner’s child. With respect to a single petition, the court shall comply with both of the following:
(b)
(2) A certified copy of the judgment of the court issued pursuant to this section shall be filed by the petitioner with the State Registrar, if any of the following conditions are met: