In open sight; without trick, concealment, or deception.
adv
Honestly; openly.
veridical
adj
Pertaining to an experience, perception, or interpretation that accurately represents reality; as opposed to imaginative, unsubstantiated, illusory, or delusory.
True.
How often have the words above-board and veridical occurred in a corpus of books? (source: Google Ngram Viewer )