I'm not a lawyer, this is what I looked up. Apparently carrying a "dirk, dagger or stiletto" carries with it the rebuttable presumption that one intended to use it unlawfully against a person. I haven't found definitions of "dirk, dagger or stiletto" that are sufficiently clear to me to indicate that any fixed knife I own isn't one of those under NYC law. I suspect that I could win in court if I were ticketed or arrested for carrying a small fixie, but I sure as heck don't want to find out.