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I haven't been able to find a whitepaper or technical spec detailing the bitcoin algorithms and protocols. Google is flooded with too much hand-wavy nonsense. Can someone point me in the right direction?

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Bitcoin: A Peer-to-Peer Electronic Cash System

by: Satoshi Nakamoto

That would be a good place to start.

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The cryptographic primitives used in Bitcoin are SHA-256 and ECDSA.

For ECDSA: http://www.secg.org/collateral/sec2_final.pdf

For SHA-256: http://csrc.nist.gov/publications/fips/fips180-4/fips-180-4.pdf

Felipe Voloch
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I found this awesome article that answered all my questions:

How the Bitcoin Protocol Actually Works