10:03 AM PT -- The suspect, Daniel Gill, was charged with three misdemeanors - assault, menacing and harassment. According to the criminal complaint, obtained by TMZ, Giuliani told prosecutors Gill made him "stumble forward." Giuliani said this caused "physical injury including but not limited to redness, swelling, and substantial pain to the back and left side of his body, as well as causing informant to be placed in fear of physical injury, and becoming alarmed and annoyed."