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Vitalik Buterin via the Vitalik Buterin Blog This is a mirror of the post at https://medium.com/@VitalikButerin/zk-snarks-under-the-hood-b33151a013f6 This is the third part of a series of articles explaining how the technology behind zk-SNARKs works; the previous articles on quadratic arithmetic programs and elliptic curve pairings are required reading, and this article will assume knowledge of both concepts. Basic knowledge of what zk-SNARKs are and what they do is also assumed. See also Christian Reitwiessner's article here for another technical introduction. In the previous articles, we introduced the quadratic arithmetic program, a