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Bit commitment involves the submission of evidence from one party to another so that the evidence can be used to confirm a later revealed bit value by the first party, while the second party cannot determine the bit value from the evidence…

Quantum Physics · Physics 2007-05-23 H. P. Yuen

In this work we use formal verification to prove that the Lightning Network (LN), the most prominent scaling technique for Bitcoin, always safeguards the funds of honest users. We provide a custom implementation of (a simplification of) LN,…

Cryptography and Security · Computer Science 2025-03-11 Grzegorz Fabiański , Rafał Stefański , Orfeas Stefanos Thyfronitis Litos

Cryptocurrencies, based on and led by Bitcoin, have shown promise as infrastructure for pseudonymous online payments, cheap remittance, trustless digital asset exchange, and smart contracts. However, Bitcoin-derived blockchain protocols…

Cryptography and Security · Computer Science 2015-11-12 Ittay Eyal , Adem Efe Gencer , Emin Gun Sirer , Robbert van Renesse

Bitcoin is a cryptocurrency attracting a lot of interest both from the general public and researchers. There is an ongoing debate on the question of users' anonymity: while the Bitcoin protocol has been designed to ensure that the activity…

Cryptography and Security · Computer Science 2019-06-14 Remy Cazabet , Baccour Rym , Latapy Matthieu , Cazabet Remy

Bit commitment involves the submission of evidence from one party to another so that the evidence can be used to confirm a later revealed bit value by the first party, while the second party cannot determine the bit value from the evidence…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

In this paper, we explore the partitioning attacks on the Bitcoin network, which is shown to exhibit spatial bias, and temporal and logical diversity. Through data-driven study we highlight: 1) the centralization of Bitcoin nodes across…

Networking and Internet Architecture · Computer Science 2019-02-12 Muhammad Saad , Victor Cook , Lan Nguyen , My T. Thai , Aziz Mohaisen

Bitcoin is the first and undoubtedly most successful cryptocurrecny to date with a market capitalization of more than 100 billion dollars. Today, Bitcoin has more than 100,000 supporting merchants and more than 3 million active users.…

Cryptography and Security · Computer Science 2019-11-19 Emmanouil Karampinakis , Michalis Pachilakis , Panagiotis Papadopoulos , Antonis Krithinakis , Evangelos P. Markatos

Bitcoin is a peer-to-peer cryptographic currency system. Since its introduction in 2008, Bitcoin has gained noticeable popularity, mostly due to its following properties: (1) the transaction fees are very low, and (2) it is not controlled…

Cryptography and Security · Computer Science 2014-07-01 Marcin Andrychowicz , Stefan Dziembowski , Daniel Malinowski , Łukasz Mazurek

In the cryptographic currency Bitcoin, all transactions are recorded in the blockchain - a public, global, and immutable ledger. Because transactions are public, Bitcoin and its users employ obfuscation to maintain a degree of financial…

Computers and Society · Computer Science 2017-06-30 Arvind Narayanan , Malte Möser

Over the past decade, the Bitcoin P2P network protocol has become a reference model for all modern cryptocurrencies. While nodes in this network are known, the connections among them are kept hidden, as it is commonly believed that this…

Cryptography and Security · Computer Science 2021-07-28 Federico Franzoni , Xavier Salleras , Vanesa Daza

Since its advent in 2009, Bitcoin, a cryptography-enabled peer-to-peer digital payment system, has been gaining increasing attention from both academia and industry. An effort designed to overcome a cluster of bottlenecks inherent in…

Cryptography and Security · Computer Science 2021-05-18 Ling Cheng , Feida Zhu , Huiwen Liu , Chunyan Miao

After a general introduction, the thesis is divided into four parts. In the first, we discuss the task of coin tossing, principally in order to highlight the effect different physical theories have on security in a straightforward manner,…

Quantum Physics · Physics 2011-03-02 Roger Colbeck

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

Byzantine Fault Tolerant (BFT) consensus protocols for dynamically available systems face a critical challenge: balancing latency and security in fluctuating node participation. Existing solutions often require multiple rounds of voting per…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-04 Pengkun Ren , Hai Dong , Zahir Tari , Pengcheng Zhang

Bitcoin is a peer-to-peer electronic cash system invented by Nakamoto in 2008. While it has attracted much research interest, its exact latency and security properties remain open. Existing analyses provide security and latency (or…

Cryptography and Security · Computer Science 2021-09-08 Jing Li , Ling Ren , Dongning Guo

We propose a secure and efficient implementation of fungible tokens on Bitcoin. Our technique is based on a small extension of the Bitcoin script language, which allows the spending conditions in a transaction to depend on the neighbour…

Cryptography and Security · Computer Science 2021-02-10 Massimo Bartoletti , Stefano Lande , Roberto Zunino

In the paper, we present designs for multiple blockchain consensus primitives and a novel blockchain system, all based on the use of trusted execution environments (TEEs), such as Intel SGX-enabled CPUs. First, we show how using TEEs for…

Cryptography and Security · Computer Science 2017-03-17 Mitar Milutinovic , Warren He , Howard Wu , Maxinder Kanwal

In this paper we analyze Tendermint proposed in [7], one of the most popular blockchains based on PBFT Consensus. The current paper dissects Tendermint under various system communication models and Byzantine adversaries. Our methodology…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-31 Yackolley Amoussou-Guenou , Antonella del Pozzo , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

We survey recent results on the mathematical stability of Bitcoin protocol. Profitability and probability of a double spend are estimated in closed form with classical special functions. The stability of Bitcoin mining rules is analyzed and…

History and Overview · Mathematics 2020-03-03 Cyril Grunspan , Ricardo Pérez-Marco

We investigate the time to consensus in Nakamoto blockchains. Specifically, we consider two competing growth processes, labeled \emph{honest} and \emph{adversarial}, and determine the time after which the honest process permananetly exceeds…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Partha S. Dey , Aditya S. Gopalan , Vijay G. Subramanian