When someone sends bitcoin, nodes verify the sender has enough funds and hasn't tried to spend the same bitcoin twice.

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This isn't the same as the reproducibility that Bitcoin Core developers try to guarantee for official Bitcoin binaries, which have a separate process to check that they're bit-for-bit identical.

Miners, hashes, keys, cold storage, blocks—it can all get confusing. Learn more about it all so that you can understand how Bitcoin works beyond a wallet.