Proof of Demand Is Not Proof of Work: On the Limits of Demand-Weighted Consensus under Free Pseudonyms

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Proof-of-useful-work (PoUW) certifies computational hardness, not utility: a certified computation need not be anyone’s demanded job. We separate three properties of a work receipt—work soundness \(\mathsf{W}\), job binding \(\mathsf{B}\), and demand exogeneity \(\mathsf{E}\)—and locate the gap at \(\mathsf{E}\). Two results require no equilibrium or market model. First, payments between coalition-controlled requesters and workers are recoverable transfers that contribute no Sybil-resistant cost