S.D. Codified Laws § 23A-27A-40.1
The warden or corrections official attending and in charge of the execution shall prepare and sign a certificate of execution setting forth the date, time, place, and manner of execution, and that the defendant was executed in conformity to the judgment of the court and the provisions of this chapter. The certificate of execution document shall be signed by each of the witnesses of the execution attending as allowed in § 23A-27A-34 and § 23A-27A-34.2. The warden or corrections official shall cause the certificate of execution to be filed in the office of the clerk of the sentencing court within ten days after the execution. The original or a certified copy of the death certificate, postmortem examination, and any autopsy report shall be filed with the clerk of the sentencing court within ten days of receipt by the warden or corrections official.
SDCL 23A-27A-40.1