A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.
Kapranov, Supergeometry in mathematics and physics, New Spaces in Physics: Volume 2: Formal and Conceptual Reflections (2021), 114
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Invertibility and parity in symmetric monoidal categories
A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.