The Rebbe's letters on accuracy — getting facts, texts and sources right. Each page summarizes his guidance and cites the letters (IK = Igros Kodesh letter number).
History and biographies — Correcting books on Chassidic history and the Rebbeim, recording memories before they are lost, documenting the Holocaust, historic letters, and family lineage.
Torah texts and editions — Establishing the text of Tanya, the Siddur, Shulchan Aruch HaRav and Tanach from early printings and manuscripts, letter forms, and exposing inauthentic attributions.
Chassidus manuscripts: collecting and authenticating — Searching for and rescuing manuscripts, entrusting them only to reliable hands, and questions of authenticity and authorship.
Chassidic stories and teachings — Telling chassidic stories and teachings with proper sources.
Halacha and prayer — Precise wording in prayer and halachah.
In short: The Rebbe held that Torah and Chassidic history deserve the same exactness as halachah: texts are established from the best sources rather than by assumption, facts are checked against manuscripts and tradition, and memories and manuscripts are gathered and preserved before they are lost — while praise and stories are told carefully, without exaggeration.