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Why Polynomial Commitments Might Be a 'Breakthrough' for Ethereum 2.0

What are "polynomial commitments" and how do they fit into Vitalik Buterin's new Eth 2.0 roadmap?

Colorado Gov. Jared Polis and Ethereum creator Vitalik Buterin read children's books at ETHDenver 2020. (Photo by Will Foxley for CoinDesk)
Colorado Gov. Jared Polis and Ethereum creator Vitalik Buterin read children's books at ETHDenver 2020. (Photo by Will Foxley for CoinDesk)
Why Polynomial Commitments Might Be a 'Breakthrough' for Ethereum 2.0