S.D. Codified Laws § 5-3-2
When lands granted to the state by act of Congress approved February 22, 1889, have been or shall be lost to the state by reason of being otherwise disposed of by the United States prior to survey, or when, prior to survey, any of such lands have been or shall be included in a reservation of the United States and thereby identification and vesting of such lands in the state may be indefinitely deferred, the state accepts the provisions of sections 2275 and 2276 of the Revised Statutes of the United States, as amended by act of Congress approved February 28, 1891, and the provisions of any and all acts of Congress enacted or to be enacted, whereby lands are granted to the state in lieu of lands which have been lost or have not vested as above described; and the state hereby accepts all of the rights and privileges granted to states and territories by such acts.
SDCL 5-3-2