From all the advice I've read security and crypto they don't work like that. The assumption is the other way around. A properly implemented, simple pepper can only hurt password security until proven otherwise by rigours testing and analysis.
Time and time again we read stories of a tiny implementation detail that created a sly and subtle vulnerability that simehow leaks information about original plain text by interrogating the cipher text.
bcyrpt with a large work factor and a per user salt is a PROVEN method to prevent attackers learning the plain text. Until I see evidence from a trusted cryptanalyst I'm not going to roll my own by adding in pepper they didn't plan on being there.
EDIT: sorry let me make my point a little clearer. In the event that the hacker can access the filesystem or memory -- whereever you store your pepper -- could the hacker use the pepper and an implementation detail in the peppering technique to learn information about the plaintext or the salt? This question is what needs to be answered by qualified cryptanalysts before developers start using peppers wide-spread in my opinion.