There isn't one. You'd be much better off with a variety of movements including flexion, torsion (twisting), and side flexion (there's a name for that I never remember).

I do the pullup thing all the time. I don't know if there is a name for it. That's a supinated (chin-up) grip. But you don't have to just do that with a chin-up grip. That does change slightly the effect of the exercise on the back, I think.

I would avoid in general this search for single best exercises. It gets you into a habit of not utilysing enough variety which can get you into a habit of injuring yourself.

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If you act sanctimonious I will just list out your logical fallacies until you get pissed off and spew blasphemous remarks.