Probity
/ˈproʊ.bɪ.ti/ noun hardProbity is the quality of being completely honest and principled, especially in situations that test one's character.
The auditor was chosen precisely for her reputation for probity, since the firm needed someone above reproach.
Memory Trick
Probity sounds like 'proof-ity' - a person of probity always has the proof of honest, upstanding behavior to back them up.