to note; to write down

put up (a notice) / put up / raise, erect / put on display / hang outside / publish / characterize

formality, officiality / (mathematics, chemistry) formula

record (most extreme known value of some achievement), such as in sports / recording

to document

he / distal demonstrative, something far off removed from both speaker and listener: that / boyfriend

distal demonstrative, something far off removed from both speaker and listener: that, yon / particularly, male personal third person pronoun: he / by extension from he: boyfriend

he; boyfriend

fact; truth; reality / (as a) a matter of fact, actually, the fact (of the matter)

recording in official record