Background
In the United States, the NARA is the authority that receives all final documents related to the State ratification of a United States Constitutional amendment as implied on the NARA website:
TITLE 1 -- GENERAL PROVISIONS
CHAPTER 2 -- ACTS AND RESOLUTIONS; FORMALITIES OF ENACTMENT; REPEALS; SEALING OF INSTRUMENTS
Sec. 106b. Amendments to Constitution
Whenever official notice is received at the National Archives and Records Administration that any amendment proposed to the Constitution of the United States has been adopted, according to the provisions of the Constitution, the Archivist of the United States shall forthwith cause the amendment to be published, with his certificate, specifying the States by which the same may have been adopted, and that the same has become valid, to all intents and purposes, as a part of the Constitution of the United States.
In addition, the NARA has also received recession or rejections of certain Constitutional amendments from the states, the validity of which is not pronounced by the head archivist, but is seen as conclusive by another (unnamed) authority as stated here:
In a few instances, States have sent official documents to NARA to record the rejection of an amendment or the rescission of a prior ratification. The Archivist does not make any substantive determinations as to the validity of State ratification actions, but it has been established that the Archivist's certification of the facial legal sufficiency of ratification documents is final and conclusive.
Since the most credible source I found on the matter does not state who "established" that the legal sufficiency of ratification documents is final and conclusive, I wanted to ask the following question:
Question
What authority (or authorities) has established that the facial legal sufficiency of ratification documents is final and conclusive?