Probity
Etymology
From Latin probitas, "goodness, uprightness, honesty," which comes from probus, "good, upright, genuine." Probus is also the source of "prove" and "probe," through probare, "to test or demonstrate the worth of." That kinship is telling: probity is not innocence but honesty that has been put to the test and passed.
noun · /PROH-bih-tee/
Deep-seated honesty and moral uprightness, especially of the kind that holds firm under pressure or temptation.
What it names
The precise word for proven, tested integrity — the trustworthiness you want in someone handling money, power, or other people’s secrets.
Example
The auditor’s reputation for probity meant that when she signed off on the accounts, investors stopped worrying.
Related idea
Integrity is wholeness — the alignment of your actions with your stated values. Probity is narrower and sterner: unbending honesty, especially about money and duty.