You said it!
Truth ain’t gots no need of modifiers. It was even necessary to say “true” — just that “Yes, I was born in Hawaii.” — or even to be more precise: “As far as I know I was born in Hawaii. That’s what they told me.”
For none of us can remember where we were born — we just have the word of those we trust.
Why should anyone trust Obama?
Or in the case of most of us a real birth certificate.