Huh. That's not my impression of anarchism. Not the people I've met for sure. And given the long history of anarchism in labor activism, I have a hard time believing it was ever purely about "the central state".
I'm obviously simplifying a complicated topic quite a bit. I'm leaving out the whole distinction to be made around Anarcho-syndicalism which is the labor organizing focused strain of anarchy, however these folks are very much against the state. These folks are sometimes historically called left-libertarians and have a strong historical claim on the term libertarian itself. But again, they all don't like the state.
There are also collectivist and communist anarchists, however the latter may even be possible.
