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The b ghost in the non minimal pure spinor formalism is not a fundamentalfield. It is based on a complicated chain of operators and proving itsnilpotency is nontrivial. Chandia proved this property in arXiv:1008.1778, butwith an assumption on the non-minimal variables that is not valid in general.In this work, the b ghost is demonstrated to be nilpotent without thisassumption.

Nilpotency of the b ghost in the non-minimal pure spinor formalism