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Although Bitcoin was intended to be a decentralized digital currency, in practice, mining power is quite concentrated. This fact is a persistent source of concern for the Bitcoin community. We provide an explanation using a simple model to…

Cryptography and Security · Computer Science 2018-11-22 Nick Arnosti , S. Matthew Weinberg

Proof-of-work (POW) schemes have been proposed in the past. One prominent system is HASHCASH (Back, 2002) which uses cryptographic puzzles . However, work by Laurie and Clayton (2004) has shown that for a uniform proof-of-work scheme on…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Gardner-Stephen

Proof-of-work allows Bitcoin to boast security amidst arbitrary fluctuations in participation of miners throughout time, so long as, at any point in time, a majority of hash power is honest. In recent years, however, the pendulum has…

Cryptography and Security · Computer Science 2025-08-12 Yuval Efron , Joachim Neu , Toniann Pitassi

Proof of Stake (PoS) blockchains offer promising alternatives to traditional Proof of Work (PoW) systems, providing scalability and energy efficiency. However, blockchains operate in a decentralized manner and the network is composed of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Faisal Haque Bappy , Tariqul Islam , Kamrul Hasan , Md Sajidul Islam Sajid , Mir Mehedi Ahsan Pritom

Bitcoin and other similar digital currencies on blockchains are not ideal means for payment, because their prices tend to go up in the long term (thus people are incentivized to hoard those currencies), and to fluctuate widely in the short…

Computers and Society · Computer Science 2019-05-17 Kenji Saito , Mitsuru Iwamura

Bitcoin uses blockchain technology to maintain transactions order and provides probabilistic guarantee to prevent double-spending, assuming that an attacker's computational power does not exceed %50 of the network power. In this paper, we…

Cryptography and Security · Computer Science 2024-11-19 Ghader Ebrahimpour , Mohammad Sayad Haghighi

During the last two decades, distributed energy systems, especially renewable energy sources (RES), have become more economically viable with increasing market share and penetration levels on power systems. In addition to decarbonization…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Umit Cali , Murat Kuzlu , Vinayak Sharma , Manisa Pipattanasomporn , Ferhat Ozgur Catak

Proof of work blockchain protocols using multiple hash types are considered. It is proven that the security region of such a protocol cannot be the AND of a 51\% attack on all the hash types. Nevertheless, a protocol called Merged Bitcoin…

Cryptography and Security · Computer Science 2026-01-15 Christopher Blake , Chen Feng , Xuachao Wang , Qianyu Yu

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

Bitcoin already faces a quantum threat through Shor attacks on elliptic-curve signatures. This paper isolates the other component that public discussion often conflates with it: mining. Grover's algorithm halves the exponent of brute-force…

Quantum Physics · Physics 2026-03-30 Pierre-Luc Dallaire-Demers , BTQ Technologies Team

Resource-based consensus is the backbone of permissionless distributed ledger systems. The security of such protocols relies fundamentally on the level of resources actively engaged in the system. The variety of different resources (and…

Cryptography and Security · Computer Science 2022-09-08 Matthias Fitzi , Xuechao Wang , Sreeram Kannan , Aggelos Kiayias , Nikos Leonardos , Pramod Viswanath , Gerui Wang

Blockchain as a promising technology is gaining its popularity ever since proof-of-work based Bitcoin came to the world. Nevertheless, Bitcoin achieves consensus at an expensive cost of energy. Proof-of-stake is one of the solutions for…

Cryptography and Security · Computer Science 2026-01-05 Joshua Shen

The Nakamoto consensus protocol underlying the Bitcoin blockchain uses proof of work as a voting mechanism. Honest miners who contribute hashing power towards securing the chain try to extend the longest chain they are aware of. Despite its…

Cryptography and Security · Computer Science 2025-05-22 Mirza Ahad Baig , Krzysztof Pietrzak

Permissionless consensus protocols require a scarce resource to regulate leader election and provide Sybil resistance. Existing paradigms such as Proof of Work and Proof of Stake instantiate this scarcity through parallelizable resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-09 Homayoun Maleki , Nekane Sainz , Jon Legarda

Proof of Work (PoW) based cyberdefense systems require incoming network requests to expend effort solving an arbitrary mathematical puzzle. Current state of the art is unable to differentiate between trustworthy and untrustworthy…

Cryptography and Security · Computer Science 2022-03-22 Trisha Chakraborty , Shaswata Mitra , Sudip Mittal , Maxwell Young

In September 2022, Ethereum transitioned from Proof-of-Work (PoW) to Proof-of-Stake (PoS) during "the merge" - making it the largest PoS cryptocurrency in terms of market capitalization. With this work, we present a comprehensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-25 Dominic Grandjean , Lioba Heimbach , Roger Wattenhofer

The security of blockchain systems based on Proof of Work relies on mining. However, mining suffers from unstable revenue, prompting many miners to form cooperative mining pools. Most existing mining pools operate in a centralized manner,…

Cryptography and Security · Computer Science 2025-01-28 Akira Sakurai , Kazuyuki Shudo

Hyperdimensional Computing (HDC) is a promising bio-inspired learning paradigm for its advantage of balancing performance and efficiency and has been increasingly applied to the bio-medical domain. In bio-medical applications,…

Cryptography and Security · Computer Science 2025-08-08 Jinghao Wen , Dongning Ma , Sizhe Zhang , Hasshi Sudler , Xun Jiao

We describe and analyze perishing mining, a novel block-withholding mining strategy that lures profit-driven miners away from doing useful work on the public chain by releasing block headers from a privately maintained chain. We then…

Cryptography and Security · Computer Science 2023-02-10 Tong Cao , Jérémie Decouchant , Jiangshan Yu

This paper investigates the fundamental trade-offs between block safety, confirmation latency, and transaction throughput of proof-of-work (PoW) longest-chain fork-choice protocols, also known as PoW Nakamoto consensus. New upper and lower…

Cryptography and Security · Computer Science 2024-12-05 Shu-Jie Cao , Dongning Guo
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