"The Judge requested a veridical statement of the facts."
Coinciding with reality.
"The witnesses's testimony was not veridical."
Veridical comes from the Latin word veridicus, which itself is from two other Latin words: verus, meaning 'true,' and dicere, meaning 'to say.' Verus is an ancestor of several English words, among them verity, verify, and very (which originally meant "true"). Mid 17th century: from Latin veridicus (from verus ‘true’ + dicere ‘say’) + -al.