Interesting question. We have to attest and to aver, but these both mean “to allege as fact”.
We do have the adverb “truthfully”. Compare:
"I paid already," he lied. Explicitly untrue. "I paid already," he said. Could be true or untrue. I paid already," he said truthfully. Explicitly true.
There are no direct opposites, apparently. Clearly, the Straight Dope needs to generate such a verb. I propose “to washington” in honor of our cherry-tree-chopping president. Any others?
Is there a single word for telling the truth in any language? I’d wouldn’t be surprised if there wasn’t. Isn’t the default state “truth” and we only need a special verb to indicate a deviation?
When you think about it, there’s no concept that is the opposite of “steal”. However, “purchase”, “return”, and “accept” can all be antonyms in certain circumstances.
He stole the book.
He purchased the book.
He stole the lawnmower.
He returned the lawnmower.
He stole the present from his great aunt Ruth.
He accepted the present from his great aunt Ruth.