The classification was invented by Herbert Putnam in 1897, just before he assumed the librarianship of Congress. With advice from Charles Ammi Cutter , it was influenced by his Cutter Expansive Classification , the Dewey Decimal System , and the Putnam Classification System (developed while Putnam was head librarian at the Minneapolis Public Library ).   It was designed specifically for the purposes and collection of the Library of Congress to replace the fixed location system developed by Thomas Jefferson . By the time Putnam departed from his post in 1939, all the classes except K (Law) and parts of B (Philosophy and Religion) were well developed.
On the question of the relationship between Stechiology and the Analytic that seems to have replaced it, note that, in Draft D of Memoir 15 in his 1902 Carnegie Institute application, Peirce said that stechiology, also called grammatica speculativa , amounts to an Erkenntnisslehre , a theory of cognition, provided that that theory is stripped of matter irrelevant and inadmissible in philosophical logic, irrelevant matter such as all truths (for example, the association of ideas) established by psychologists, insofar as the special science of psychology depends on logic, not vice versa.  In that same Carnegie Institute application as in many other places, Peirce treated belief and doubt as issues of philosophical logic apart from psychology.