OK, for now on weasels beating some types of wire. For me they are not that big of a problem and may not be for OP either. My pens are far more open, yet other mechanisms in place to limit activities of those little guys.The most common, both where I live and where you live, is the longtail which also happens to be the largest. (They all change to white in the winter so are also known a ermine.) I have trapped these both for fur and live to get rid of them so have seen them up close. (They're a PIA to skin, BTW.) Their heads are no bigger around than a quarter and they have a unique build that allows them to get their shoulders and hind legs through any hole their head will fit through. This is because there most common prey are mice--they will kill and stockpile them. Trust me, if a mouse can get through a hole, so can a weasel. I had one gain entry to my coop through a place where mice had chewed a corner off the lower edge of a door. I could barely stick my finger through the hole. No chicken wire or welded wire will be a deterrent, go with at least half-inch hardware cloth.
BTW, a mink which is half again larger than a weasel can get through a surprisingly small hole too.
Also, I've lost chickens to weasels, mink and fishers so know from whence I speak.