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I'm going to copy-paste the exact relevant bit here:
I knew about the chirality difference, that there are no right-handed neutrinos nor left-handed antineutrinos (or something along those lines, breaking what was thought to be a fundamental parity or symmetry), but what puzzled me was that I thought the charge difference was the one big fundamental difference between matter and antimatter, and suddenly tonight the neutrino question popped into my head. At the very least I knew that it's not a mass/negative mass type of difference.
Now as for that bit that says "opposite signs of lepton number"... I'd never even heard of this concept or characteristic, until right now.