Cognitive and cultural embeddedness: combining institutional economics and economic sociology
According to this, pederasty is sexual relations between two males, especially when one of them is a minor. Other definitions, like the one that JSBangs found, differ slightly. But otherwise, I think you answered the question yourself: pedophile refers to the attraction, while pederasty refers to the act itself.
Boast (verb). to vaunt one's self; to brag; to say or tell things which are intended to give others a high opinion of one's self or of things belonging to one's self; as, to boast of one's exploits courage, descent, wealth. Boast (verb). to speak in exulting language of another; to glory; to exult. Boast (verb).