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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

Bitcoin uses blockchain technology and proof-of-work (PoW) mechanism where nodes spend computing resources and earn rewards in return for spending these resources. This incentive system has caused power to be significantly biased towards a…

Cryptography and Security · Computer Science 2019-09-04 Yujin Kwon , Jian Liu , Minjeong Kim , Dawn Song , Yongdae Kim

The energy sustainability of blockchains, whose consensus protocol rests on the Proof-of-Work, nourishes a heated debate. The underlying issue lies in a highly energy-consuming process, defined as mining, required to validate crypto-asset…

The distributed consensus mechanism is the backbone of the rapidly developing blockchain network. Blockchain platforms consume vast amounts of electricity based on the current consensus mechanism of Proof of Work. Here, we point out an…

Computers and Society · Computer Science 2022-01-19 Xiaoyang Shi , Hang Xiao , Weifeng Liu , Xi Chen , Klaus. S. Lackner , Vitalik Buterin , Thomas F. Stocker

Proof of Work (PoW) blockchains burn a lot of energy. Proof-of-work algorithms are expensive by design and often only serve to compute blockchains. In some sense, carbon-based and non-carbon based regional electric power is fungible. So the…

Cryptography and Security · Computer Science 2024-04-09 Agron Gemajli , Shivam Patel , Phillip G. Bradford

Designing an efficient difficulty control algorithm is an essential problem in Proof-of-Work (PoW) based blockchains because the network hash rate is randomly changing. This paper proposes a general difficulty control algorithm and provides…

Cryptography and Security · Computer Science 2020-04-23 Shulai Zhang , Xiaoli Ma

In the white book of Bitcion, Satoshi Nakamoto described a bitcoin system that can realize point-to-point online payment without a third-party organization. After supporting this magical application scenario and subverting the traditional…

Cryptography and Security · Computer Science 2022-09-26 Shi Yan

While Proof-of-Work (PoW) is the most widely used consensus mechanism for blockchain, it received harsh criticism due to its massive waste of energy for meaningless hash calculation. Some studies have introduced Proof-of-Stake to address…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Weilin Zheng , Xu Chen , Zibin Zheng , Xiapu Luo , Jiahui Cui

We analyze the economic incentives generated by the proof-of-stake mechanism discussed in the Ethereum Casper upgrade proposal. Compared with proof-of-work, proof-of-stake has a different cost structure for attackers. In Budish (2018),…

Cryptography and Security · Computer Science 2018-07-26 George Gui , Ali Hortacsu , Jose Tudon

Blockchain technology enables secure, transparent data management in decentralized systems, supporting applications from cryptocurrencies like Bitcoin to tokenizing real-world assets like property. Its scalability and sustainability hinge…

Cryptography and Security · Computer Science 2025-04-25 Zan-Kai Chong , Hiroyuki Ohsaki , Bryan Ng

Proof of Work (PoW) has extensively served as the foundation of blockchain's security, consistency, and tamper-resistance. However, long has it been criticized for its tremendous and inefficient utilization of computational power and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Weihang Cao , Xintong Ling , Jiaheng Wang , Xiqi Gao , Zhi Ding

The transition to post-quantum cryptography in blockchain systems such as Bitcoin and Ethereum is often framed as a purely cryptographic problem. In practice, it also presents significant economic and infrastructural challenges: in globally…

Cryptography and Security · Computer Science 2026-05-11 Keir Finlow-Bates , Markus Jakobsson , Hossein Siadati

Proof-of-Work (PoW) is a popular blockchain consensus algorithm that is used in cryptocurrencies like Bitcoin in which hashing operations are repeated until the resulting hash has certain properties. This approach uses lots of computational…

Cryptography and Security · Computer Science 2022-09-09 Felix Hoffmann

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

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

Blockchain applications that rely on the Proof-of-Work (PoW) have increasingly become energy inefficient with a staggering carbon footprint. In contrast, energy-efficient alternative consensus protocols such as Proof-of-Stake (PoS) may…

Cryptography and Security · Computer Science 2021-01-05 Muhammad Saad , Zhan Qin , Kui Ren , DaeHun Nyang , David Mohaisen

The blockchain data structure maintained via the longest-chain rule---popularized by Bitcoin---is a powerful algorithmic tool for consensus algorithms. Such algorithms achieve consistency for blocks in the chain as a function of their depth…

Cryptography and Security · Computer Science 2019-11-25 Erica Blum , Aggelos Kiayias , Cristopher Moore , Saad Quader , Alexander Russell

The protocol for cryptocurrencies can be divided into three parts, namely consensus, wallet, and networking overlay. The aim of the consensus part is to bring trustless rational peer-to-peer nodes to an agreement to the current status of…

Cryptography and Security · Computer Science 2020-06-23 Sangjun Park , Haeung Choi , Heung-No Lee

In the Bitcoin system, transaction fees serve as an incentive for blockchain confirmations. In general, a transaction with a higher fee is likely to be included in the next block mined, whereas a transaction with a smaller fee or no fee may…

Cryptography and Security · Computer Science 2024-05-27 Limeng Zhang , Rui Zhou , Qing Liu , Chengfei Liu , M. Ali Babar

We design and validate new block propagation protocols for the peer-to-peer (P2P) network of the Bitcoin blockchain. Despite its strong protection for security and privacy, the current Bitcoin blockchain can only support a low number of…

Networking and Internet Architecture · Computer Science 2021-01-05 Lihao Zhang , Taotao Wang , Soung Chang Liew