Pixel: Multi-signatures for Consensus Manu Drijvers DFINITY Sergey Gorbunov Algorand and University of Waterloo Gregory Neven DFINITY Hoeteck Wee  Algorand and CNRS, ENS, PSL Abstract In Proof-of-Stake (PoS) and permissioned blockchains, a com- mittee of verifiers agrees and sign every new block of trans- actions. These blocks are validated, propagated, and stored by all users in the network. However, posterior corruptions pose a common threat to these designs, because the adversary can corrupt committee verifiers after they certified a block and use their signing keys to certify a different block. De- signing efficient and secure digital signatures for use in PoS blockchains can substantially reduce bandwidth, storage and computing requirements from nodes, thereby enabling more efficient

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