record
for the record so that the true facts are recorded or known.
1992Sun There was no need to ask if I had gone to the flat. For the record I have never been to the flat. The questions were calculated to make me look bad.
a matter of record something that is established as a fact through being officially recorded.
off the record not made as an official or attributable statement.
1990Charles AllenThe Savage Wars of Peace I went to see him very much as somebody going in just to have a chat with him off the record after the interrogation.
on (the) record
1 used in reference to the making of an official or public statement.
2 officially measured and noted.
put (or set) the record straight give the true version of events that have been reported incorrectly; correct a misapprehension.
rewrite the record books: seerewrite.