Common phrases heard among Bitcoiners include “don’t trust, verify” or “not your keys, not your coins”, sometimes even claiming that it’s “backed by math”. But what do these proverbs ultimately boil down to, and how exactly is this involved math put into practice? Most readers are surely aware that a fundamental ingredient in the design of Bitcoin is public-key cryptography and more specifically digital signatures, which are essential to prove ownership without needing a central entity. Probably less well-known is what piece of software is under the hood to make that elliptic curve math work and what efforts are involved to ensure that this happens in the most…

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