Does your voice pitch affect your perceived authority? I heard a claim that people with lower voice pitch are perceived as more credible than people with higher pitch.

Is there any research on this?
There's quite a bit of research related to this topic: 


Male CEOs with deeper voices make more money and manage larger companies (Mayew et al., 2013).
People are more likely to say they would vote for a political candidate with a deeper voice (Klofstad et al., 2012; Tigue et al., 2011).
People rate lower-pitched voices as more persuasive than higher-pitched voices (Apple et al., 1979).
Somewhat contrary to the above findings, people tend to raise the pitch of their voice when they are in a position of authority (Ko et al., 2014).