The Institute also uses the name Sodalitium Pianum as an alternative name; this was the name of an unofficial group of theologians and others set up in the early twentieth century by Umberto Benigni to report to him those thought to be teaching Modernist doctrines.
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In 1985, the name Sodalitium Pianum was adopted by a sedeprivationist group of Traditionalist Catholics also known as Istituto Mater Boni Consilii, an offshoot of the Traditionalist Society of St. Pius X.