Bitcoin: A Peer-to-Peer Electronic Cash System

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Abstract

A peer-to-peer electronic cash system enables direct online payments without financial intermediaries. Digital signatures solve part of the problem, but trustless prevention of double-spending requires innovation. Bitcoin proposes a solution using a decentralized timestamp server based on proof-of-work. Transactions are hashed into an immutable chain, where the longest chain—representing the greatest computational effort—serves as the authoritative record. The network remains secure as long as honest nodes collectively control more CPU power than any attacker group.


Introduction

Internet commerce relies heavily on trusted third parties for payment processing. This model suffers from inherent trust weaknesses: reversible transactions invite disputes, increase costs, and exclude micropayments. Physical currency avoids these issues in person, but digital payments lack a trustless alternative.

Bitcoin introduces an electronic payment system using cryptographic proof instead of trust. Transactions are irreversible, protecting sellers from fraud, while escrow mechanisms safeguard buyers. The system solves double-spending via a peer-to-peer timestamp server, ensuring transaction order through computational proof. Security is maintained if honest nodes dominate CPU power.


Core Components

1. Transactions

An electronic coin is a chain of digital signatures. Each owner transfers the coin by signing the previous transaction and the next owner’s public key. Payees verify signatures to validate ownership.

Challenge: Preventing double-spending without a central authority.
Solution: Publicly announce transactions and agree on a single history where the earliest transaction is valid.

2. Timestamp Server

A hash of transaction batches is published (e.g., in newspapers or Usenet). Each timestamp includes the prior one, forming an unbreakable chain.

3. Proof-of-Work

SHA-256 hashing requires finding a value with leading zero bits. This effort secures blocks—altering one demands redoing all subsequent work. The longest chain reflects majority CPU power, deterring attacks.

Key Insight: "One-CPU-one-vote." Honest nodes extend the longest chain faster than attackers can compete.


Network Mechanics

  1. Transaction Broadcast: Nodes propagate new transactions.
  2. Block Creation: Nodes collect transactions into blocks and solve proof-of-work.
  3. Validation: Blocks are accepted if transactions are valid and unspent.
  4. Chain Extension: Nodes build upon the longest valid chain.

Handling Forks: Temporary splits resolve when one branch lengthens; nodes switch to the dominant chain.


Incentives


Optimizations


Privacy

Public keys are pseudonymous. Transactions reveal amounts but not identities. For stronger privacy:


Security Analysis

An attacker catching up from z blocks behind has probability:
\[ q_z = (q/p)^z \quad \text{(if } p > q\text{)} \]
Where:

Example: For ( q = 0.3 ), ( P < 0.001 ) requires ( z = 24 ).


Conclusion

Bitcoin eliminates trust in electronic payments via cryptographic proof and decentralized consensus. Its robust, unstructured network thrives with minimal coordination, and incentives align to secure the system against attacks.


FAQs

Q1: How does Bitcoin prevent double-spending?

A: The peer-to-peer network timestamps transactions into an immutable chain. The longest proof-of-work chain is authoritative, making double-spending computationally infeasible.

Q2: What incentives do miners have?

A: Miners earn new coins (block rewards) and transaction fees. Honest mining is more profitable than attacking the network.

Q3: Can Bitcoin scale for micropayments?

A: Yes, by combining transaction outputs and splitting value, Bitcoin supports small transactions without prohibitive fees.

👉 Explore Bitcoin’s technical whitepaper for deeper insights.

Q4: Is Bitcoin truly anonymous?

A: Transactions are pseudonymous. Privacy relies on using unique keys per transaction and avoiding identity-linked addresses.

👉 Learn about blockchain privacy in our advanced guide.

Q5: How secure is simplified payment verification?

A: Reliable if honest nodes control the network. For high-value transactions, running a full node is recommended.


Keywords: Bitcoin, peer-to-peer electronic cash, proof-of-work, double-spending, blockchain, decentralization, cryptographic security, timestamp server, mining incentives.


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