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In this paper, we explore vulnerabilities and countermeasures of the recently proposed blockchain consensus based on proof-of-authority. The proof-of-work blockchains, like Bitcoin and Ethereum, have been shown both theoretically and…

Cryptography and Security · Computer Science 2019-09-26 Parinya Ekparinya , Vincent Gramoli , Guillaume Jourjon

Proof-of-Work (PoW) is a Sybil control mechanism adopted in blockchain-based cryptocurrencies. It prevents the attempt of malicious actors to manipulate distributed ledgers. Bitcoin has successfully suppressed double-spending by accepting…

Cryptography and Security · Computer Science 2022-08-31 Suhyeon Lee , Donghwan Lee , Seungjoo Kim

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

The Tangle-based structure becomes one of the most promising solutions when designing DAG-based blockchain systems. The approach improves the scalability by directly confirming multiple transactions in parallel instead of single blocks in…

Cryptography and Security · Computer Science 2020-08-13 Bozhi Wang , Qin Wang , Shiping Chen , Yang Xiang

We analyze bribing attacks in Proof-of-Stake distributed ledgers from a game theoretic perspective. In bribing attacks, an adversary offers participants a reward in exchange for instructing them how to behave, with the goal of attacking the…

Computer Science and Game Theory · Computer Science 2024-06-21 Dimitris Karakostas , Aggelos Kiayias , Thomas Zacharias

Blockchain is a distributed ledger, which is protected against malicious modifications by means of cryptographic tools, e.g. digital signatures and hash functions. One of the most prominent applications of blockchains is cryptocurrencies,…

Cryptography and Security · Computer Science 2019-12-20 E. O. Kiktenko , M. A. Kudinov , A. K. Fedorov

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

Quantum computation represents a threat to many cryptographic protocols in operation today. It has been estimated that by 2035, there will exist a quantum computer capable of breaking the vital cryptographic scheme RSA2048. Blockchain…

Quantum Physics · Physics 2021-05-06 Joseph J. Kearney , Carlos A. Perez-Delgado

Bitcoin's security relies on its Proof-of-Work consensus, where miners solve puzzles to propose blocks. The puzzle's difficulty is set by the difficulty adjustment mechanism (DAM), based on the network's available mining power. Attacks that…

Cryptography and Security · Computer Science 2025-02-12 Roozbeh Sarenche , Svetla Nikova , Bart Preneel

An open distributed system can be secured by requiring participants to present proof of work and rewarding them for participation. The Bitcoin digital currency introduced this mechanism, which is adopted by almost all contemporary digital…

Cryptography and Security · Computer Science 2014-12-01 Ittay Eyal

We prove Bitcoin is secure under temporary dishonest majority. We assume the adversary can corrupt a specific fraction of parties and also introduce crash failures, i.e., some honest participants are offline during the execution of the…

Cryptography and Security · Computer Science 2019-08-02 Georgia Avarikioti , Lukas Kaeppeli , Yuyi Wang , Roger Wattenhofer

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

The key cryptographic protocols used to secure the internet and financial transactions of today are all susceptible to attack by the development of a sufficiently large quantum computer. One particular area at risk are cryptocurrencies, a…

Quantum Physics · Physics 2020-06-07 Divesh Aggarwal , Gavin K. Brennen , Troy Lee , Miklos Santha , Marco Tomamichel

Renewed public attention on the identity of Bitcoin's pseudonymous creator has sharpened focus on the Satoshi overhang, commonly framed as a tail risk for bitcoin. This paper argues that the mechanical downside of a disposition is bounded…

General Finance · Quantitative Finance 2026-05-01 Karl T. Ulrich

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

The cryptocurrency market presents both significant investment opportunities and higher risks relative to traditional financial assets. This study examines the tail behavior of daily returns for two leading cryptocurrencies, Bitcoin and…

Statistical Finance · Quantitative Finance 2025-07-04 A. H. Nzokem

Most current assessments use ex post proxies that miss uncertainty and fail to consistently capture the rapid change in bitcoin mining. We introduce a unified, ex ante statistical model that derives expected return, downside risk, and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Yuting Cai , Ruthav Sadali , Korok Ray , Chao Tian

This paper presents a stochastic model for block arrival times based on the difficulty retargeting rule used in Bitcoin, as well as other proof-of-work blockchains. Unlike some previous work, this paper explicitly models the difficulty…

Cryptography and Security · Computer Science 2018-12-31 Daniel Fullmer , A. S. Morse

We study the probabilistic distribution of the confirmation time of Bitcoin transactions, conditional on the current memory pool (i.e., the queue of transactions awaiting confirmation). The results of this paper are particularly interesting…

Performance · Computer Science 2018-10-22 David Koops

We formulate the design of a threshold signature scheme as made possible on cryptocurrency protocols like Bitcoin. The funds are secured by an m-of-n threshold signature, where at least m signatures are needed to unlock the funds. A user…

Cryptography and Security · Computer Science 2025-10-01 Korok Ray , Sindura Saraswathi