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A principal vulnerability of a proof-of-work ("PoW") blockchain is that an attacker can re-write the history of transactions by forking a previously published block and build a new chain segment containing a different sequence of…

Cryptography and Security · Computer Science 2023-09-27 Daniel Aronoff , Isaac Ardis

This paper examines the economic and security implications of Proof-of-Stake (POS) designs, providing a survey of POS design choices and their underlying economic principles in prominent POS-blockchains. The paper argues that…

General Economics · Economics 2024-05-24 Nicolas Oderbolz , Beatrix Marosvölgyi , Matthias Hafner

The Metaverse is rapidly evolving, bringing us closer to its imminent reality. However, the widespread adoption of this new automated technology poses significant research challenges in terms of authenticity, integrity, interoperability,…

Cryptography and Security · Computer Science 2023-07-21 Khadija Manzoor , Umara Noor , Zahid Rashid

We present two attacks targeting the Proof-of-Stake (PoS) Ethereum consensus protocol. The first attack suggests a fundamental conceptual incompatibility between PoS and the Greedy Heaviest-Observed Sub-Tree (GHOST) fork choice paradigm…

Cryptography and Security · Computer Science 2022-03-03 Joachim Neu , Ertem Nusret Tas , David Tse

We revisit the longstanding open problem of implementing Nakamoto's proof-of-work (PoW) consensus based on a real-world computational task $T(x)$ (as opposed to artificial random hashing), in a truly permissionless setting where the miner…

Cryptography and Security · Computer Science 2025-11-14 Ilan Komargodski , Omri Weinstein

Bitcoin is the most secure blockchain in the world, supported by the immense hash power of its Proof-of-Work miners, but consumes huge amount of energy. Proof-of-Stake chains are energy-efficient, have fast finality and accountability, but…

Cryptography and Security · Computer Science 2022-01-21 Ertem Nusret Tas , David Tse , Fisher Yu , Sreeram Kannan

We study the incentives behind double-spend attacks on Nakamoto-style Proof-of-Work cryptocurrencies. In these systems, miners are allowed to choose which transactions to reference with their block, and a common strategy for selecting…

Computer Science and Game Theory · Computer Science 2023-12-14 Yanni Georghiades , Rajesh Mishra , Karl Kreder , Sriram Vishwanath

The aim of this work is to enhance blockchain security by deepening the understanding of selfish mining attacks in various consensus protocols, especially the ones that have the potential to mitigate selfish mining. Previous research was…

Cryptography and Security · Computer Science 2026-01-07 Martin Perešíni , Tomáš Hladký , Jakub Kubík , Ivan Homoliak

Recently, two attacks were presented against Proof-of-Stake (PoS) Ethereum: one where short-range reorganizations of the underlying consensus chain are used to increase individual validators' profits and delay consensus decisions, and one…

Cryptography and Security · Computer Science 2021-10-20 Caspar Schwarz-Schilling , Joachim Neu , Barnabé Monnot , Aditya Asgaonkar , Ertem Nusret Tas , David Tse

Current blockchain consensus protocols -- notably, Proof of Work (PoW) and Proof of Stake (PoS) -- deliver global agreement but exhibit structural constraints. PoW anchors security in heavy computation, inflating energy use and imposing…

Cryptography and Security · Computer Science 2025-12-11 Kyle Habib , Vladislav Kapitsyn , Giovanni Mazzeo , Faisal Mehrban

A proof of the security of the Bitcoin protocol is made rigorous, and simplified in certain parts. A computational model in which an adversary can delay transmission of blocks by time $\Delta$ is considered. The protocol is generalized to…

Cryptography and Security · Computer Science 2026-04-17 Christopher Blake , Chen Feng , Xuechao Wang , Qianyu Yu

As smart contract platforms autonomously manage billions of dollars of capital, quantifying the portfolio risk that investors engender in these systems is increasingly important. Recent work illustrates that Proof of Stake (PoS) is…

General Finance · Quantitative Finance 2020-06-22 Tarun Chitra , Alex Evans

The security of most existing cryptocurrencies is based on a concept called Proof-of-Work, in which users must solve a computationally hard cryptopuzzle to authorize transactions (`one unit of computation, one vote'). This leads to enormous…

Computer Science and Game Theory · Computer Science 2018-09-19 Jonah Brown-Cohen , Arvind Narayanan , Christos-Alexandros Psomas , S. Matthew Weinberg

Blockchain has become a popular decentralized paradigm for various applications in the zero-trust environment. The core of the blockchain is the consensus protocol, which establishes consensus among all the participants. PoW (Proof-of-Work)…

Cryptography and Security · Computer Science 2023-08-30 Peiran Wang

To address the large amount of energy wasted by blockchains, we propose a decentralized consensus protocol for blockchains in which the computation can be used to search for good approximate solutions to any optimization problem. Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Naoki Shibata

Although proof of work (PoW) consensus dominates the current blockchain-based systems mostly, it has always been criticized for the uneconomic brute-force calculation. As alternatives, energy-conservation and energy-recycling mechanisms…

Cryptography and Security · Computer Science 2022-11-03 Shengling Wang , Lina Shi , Hongwei Shi , Yifang Zhang , Qin Hu , Xiuzhen Cheng

Blockchain protocols differ in fundamental ways, including the mechanics of selecting users to produce blocks (e.g., proof-of-work vs. proof-of-stake) and the method to establish consensus (e.g., longest chain rules vs. Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Andrew Lewis-Pye , Tim Roughgarden

Blockchain technology emerged with the advent of Bitcoin and rapidly developed over the past few decades, becoming widely accepted and known by the public. However, in the past decades, the massive adoption of blockchain technology has yet…

Cryptography and Security · Computer Science 2024-07-26 Jia Kan

The fundamental attack against blockchain systems is the double-spend attack. In this tutorial, we provide a very detailed explanation of just one section of Satoshi Nakamoto's original paper where the attack's probability of success is…

Cryptography and Security · Computer Science 2017-01-17 A. Pinar Ozisik , Brian Neil Levine

It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More precisely, it has been shown that block withholding mining…

Cryptography and Security · Computer Science 2025-02-07 Cyril Grunspan , Ricardo Perez-Marco