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Where money becomes mathematics

Bitcoin: Cryptography, Consensus & Distributed Computing

A journey from the history of money to the cryptographic and consensus mechanisms that make Bitcoin possible.

27 slidesMarch 19, 2026Alejandro Fernández Camello

Bitcoin is the first practical solution to the Byzantine Generals Problem in an open, permissionless system.

Blockchain

Each block references the previous one, forming an immutable chain of transactions.

nonce:0
hash:0xffffffff
target:< 0x000fffff
Mining...

Proof of Work

Miners compete to find a hash lower than the target. Hard to solve, easy to verify.

Talk contents

Four blocks connecting classical economics with modern distributed computing.

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01

A brief history of money

From barter to gold, from the gold standard to fiat money. The moment Nixon suspended dollar convertibility in 1971 and its consequences.

02

The emergence of Bitcoin

Satoshi Nakamoto, the 2008 whitepaper, the genesis block, the 21-million cap, and how the blockchain solves the double-spending problem.

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03

The Byzantine Generals Problem

How to reach consensus in a network with potentially malicious nodes. Mining, proof of work, and the algorithmic hash lottery.

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04

Public-key cryptography

Addresses, public and private keys, digital signatures, and how the network verifies ownership without revealing secrets.

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