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A hard-fork reconfiguration of the peer to peer Bitcoin network is described that substitutes tamper-evident logs and proof-of-stake consensus for proof-of-work consensus. The block creation rewards and transaction fees are reallocated to…

Computers and Society · Computer Science 2014-05-23 Stephen L. Reed

Improving transaction throughput is one of the main challenges in decentralized payment systems. Attempts to improve transaction throughput in cryptocurrencies are usually a trade-off between throughput and security or introduce a central…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Rowel Gündlach , Jaap-Henk Hoepman , Remco van der Hofstad , Tommy Koens , Stijn Meijer

We introduce Auditable Proof-of-Work (APoW), a novel proof-of-work (PoW) construction inspired by Hashcash-style nonce searching, which enables the auditing of other miners' work through accountable re-scanning of the nonce space. The…

Cryptography and Security · Computer Science 2026-01-09 Sergio Demian Lerner

In order to provide more security on double-spending, we have implemented a system allowing for a web-of-trust. In this paper, we explore different approaches taken against double-spending and implement our own version to avoid this within…

Cryptography and Security · Computer Science 2022-04-19 Atanas Marinov , Jurriaan Den Toonder , Joep de Jong , Pieter Tolsma , Nils van den Honert , Johan Pouwelse

We lay the foundations for a blockchain scheme, whose consensus is reached via a proof of work algorithm based on the solution of consecutive discrete logarithm problems over the point group of elliptic curves. In the considered…

Cryptography and Security · Computer Science 2021-11-19 Alessio Meneghetti , Massimiliano Sala , Daniele Taufer

As cryptographic tokens and altcoins are increasingly being built to serve as utility tokens, the notion of useful work consensus protocols, as opposed to number-crunching PoW consensus, is becoming ever more important. In such contexts,…

Cryptography and Security · Computer Science 2019-05-13 Michał Król , Alberto Sonnino , Mustafa Al-Bassam , Argyrios Tasiopoulos , Ioannis Psaras

Abrupt changes in the miner hash rate applied to a proof-of-work (PoW) blockchain can adversely affect user experience and security. Because different PoW blockchains often share hashing algorithms, miners face a complex choice in deciding…

Cryptography and Security · Computer Science 2018-06-20 George Bissias , Brian N. Levine , David Thibodeau

The security of blockchain systems depends on the distribution of mining power across participants. If sufficient mining power is controlled by one entity, they can force their own version of events. This may allow them to double spend…

Cryptography and Security · Computer Science 2024-03-21 Mary Milad , Christina Ovezik , Dimitris Karakostas , Daniel W. Woods

Cryptocurrencies that are based on Proof-of-Work (PoW) often rely on special purpose hardware to perform so-called mining operations that secure the system, with miners receiving freshly minted tokens as a reward for their work. A notable…

Cryptography and Security · Computer Science 2023-10-20 Aviv Yaish , Aviv Zohar

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

Large proof of work (PoW) networks allow anyone to earn rewards by running computation-intensive hash puzzles for profit, yet they typically consume electricity comparable to that of medium-sized countries. Repurposing computing resources…

Cryptography and Security · Computer Science 2026-05-06 Peihao Li , Nadia Dahmani

Proof-of-Work (PoW) blockchains have emerged as a robust and effective consensus mechanism in open environments, leading to widespread deployment with numerous cryptocurrency platforms and substantial investments. However, the commonly…

Cryptography and Security · Computer Science 2024-05-15 Andrea Merlina , Thiago Garrett , Roman Vitenberg

With the rapid development of machine learning and a growing concern for data privacy, federated learning has become a focal point of attention. However, attacks on model parameters and a lack of incentive mechanisms hinder the…

Cryptography and Security · Computer Science 2024-01-09 Yang Li , Chunhe Xia , Wanshuang Lin , Tianbo Wang

Proof-of-stake (PoS) is a promising approach for designing efficient blockchains, where block proposers are randomly chosen with probability proportional to their stake. A primary concern with PoS systems is the "rich getting richer"…

Cryptography and Security · Computer Science 2018-10-17 Giulia Fanti , Leonid Kogan , Sewoong Oh , Kathleen Ruan , Pramod Viswanath , Gerui Wang

The consensus protocol is the core of a blockchain system which guarantees its secure and stable operation. Proof of Activity (PoA) is a consensus protocol that tries to address some of the issues pertinent to the most widely used…

Cryptography and Security · Computer Science 2022-11-30 Sina Kamali , Shayan Shabihi , Mohammad Taha Fakharian , Alireza Arbabi , Pouriya Tajmehrabi , Mohammad Saadati , Behnam Bahrak

Blockchain systems are designed to produce blocks at a constant average rate. The most popular systems currently employ a Proof of Work (PoW) algorithm as a means of creating these blocks. Bitcoin produces, on average, one block every 10…

Cryptography and Security · Computer Science 2019-08-15 George Bissias , Brian Neil Levine

Bitcoin blockchain uses hash-based Proof-of-Work (PoW) that prevents unwanted participants from hogging the network resources. Anyone entering the mining game has to prove that they have expended a specific amount of computational power.…

Cryptography and Security · Computer Science 2025-04-22 Diptendu Chatterjee , Avishek Majumder , Subhra Mazumdar

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

The idea of security sharing goes back to Nakamoto's introduction of merge mining, a technique that enables Bitcoin miners to reuse their hash power to bootstrap and secure other Proof-of-Work (PoW) blockchains. However, with the rise of…

Cryptography and Security · Computer Science 2026-05-20 Xinshu Dong , Orfeas Stefanos Thyfronitis Litos , Ertem Nusret Tas , David Tse , Robin Linus Woll , Lei Yang , Mingchao Yu

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi