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This paper presents a complete formal specification, protocol description, and mathematical proof structure for Simplified Payment Verification (SPV) as originally defined in the Bitcoin whitepaper \cite{nakamoto2008}. In stark contrast to…

Cryptography and Security · Computer Science 2025-07-02 Craig S Wright

The Bitcoin network has offered a new way of securely performing financial transactions over the insecure network. Nevertheless, this ability comes with the cost of storing a large (distributed) ledger, which has become unsuitable for…

Cryptography and Security · Computer Science 2019-09-18 Duc V. Le , Lizzy Tengana Hurtado , Adil Ahmad , Mohsen Minaei , Byoungyoung Lee , Aniket Kate

Light clients, also known as Simple Payment Verification (SPV) clients, are nodes which only download a small portion of the data in a blockchain, and use indirect means to verify that a given chain is valid. Typically, instead of…

Cryptography and Security · Computer Science 2019-05-28 Mustafa Al-Bassam , Alberto Sonnino , Vitalik Buterin

Full nodes in a blockchain network store and verify a copy of the whole blockchain. Unlike full nodes, light clients are low-capacity devices that want to validate certain data on a blockchain. They query the data they want from a full…

Cryptography and Security · Computer Science 2021-12-07 Niusha Moshrefi , Mahyar Daneshpajooh , Chen Feng

This paper presents a mathematically rigorous formal analysis of Simplified Payment Verification (SPV) clients, as specified in Section 8 of the original Bitcoin white paper, versus non-mining full nodes operated by home users. It defines…

Cryptography and Security · Computer Science 2025-06-03 Craig Steven Wright

As Lightning network payments are neither broadcasted nor publicly stored. Thus LN has been seen not only as scalability but also as privacy solution for Bitcoin. The protocol guarantees that only the latest channel state can be confirmed…

Cryptography and Security · Computer Science 2020-04-02 Sergei Tikhomirov , Rene Pickhardt , Alex Biryukov , Mariusz Nowostawski

Payment channel networks are a promising approach to improve the scalability of cryptocurrencies: they allow to perform transactions in a peer-to-peer fashion, along multi-hop routes in the network, without requiring consensus on the…

Networking and Internet Architecture · Computer Science 2021-04-12 Krzysztof Pietrzak , Iosif Salem , Stefan Schmid , Michelle Yeo

Private information retrieval (PIR) is an essential cryptographic protocol for privacy-preserving applications, enabling a client to retrieve a record from a server's database without revealing which record was requested. Single-server PIR…

Cryptography and Security · Computer Science 2025-12-02 Sangpyo Kim , Hyesung Ji , Jongmin Kim , Wonseok Choi , Jaiyoung Park , Jung Ho Ahn

Private Information Retrieval (PIR) is a fundamental cryptographic primitive that enables users to retrieve data from a database without revealing which item is being accessed, thereby preserving query privacy. However, PIR protocols also…

Cryptography and Security · Computer Science 2025-09-18 Lin Zhu , Lingwei Kong , Xin Ning , Xiaoyang Qu , Jianzong Wang

Lazy blockchains decouple consensus from transaction verification and execution to increase throughput. Although they can contain invalid transactions (e.g., double spends) as a result, these can easily be filtered out by full nodes that…

Cryptography and Security · Computer Science 2024-05-07 Ertem Nusret Tas , David Tse , Lei Yang , Dionysis Zindros

The sparse vector technique is a powerful differentially private primitive that allows an analyst to check whether queries in a stream are greater or lesser than a threshold. This technique has a unique property -- the algorithm works by…

Databases · Computer Science 2015-08-31 Yan Chen , Ashwin Machanavajjhala

Light clients are gaining increasing attention in the literature since they obviate the need for users to set up dedicated blockchain full nodes. While the literature features a number of light client instantiations, most light client…

Cryptography and Security · Computer Science 2024-10-21 Frederik Armknecht , Ghassan Karame , Malcom Mohamed , Christiane Weis

We propose a privacy-preserving billing protocol for local energy markets (PBP-LEM) that takes into account market participants' energy volume deviations from their bids. PBP-LEM enables a group of market entities to jointly compute…

Cryptography and Security · Computer Science 2024-09-18 Eman Alqahtani , Mustafa A. Mustafa

The ever-increasing size of open-source Large Language Models (LLMs) renders local deployment impractical for individual users. Decentralized computing has emerged as a cost-effective solution, allowing individuals and small companies to…

Machine Learning · Computer Science 2026-02-03 Yifan Sun , Yuhang Li , Yue Zhang , Yuchen Jin , Huan Zhang

Private information retrieval (PIR) protocols allow a user to retrieve a data item from a database without revealing any information about the identity of the item being retrieved. Specifically, in information-theoretic $k$-server PIR, the…

Information Theory · Computer Science 2015-05-26 Arman Fazeli , Alexander Vardy , Eitan Yaakobi

Private information retrieval (PIR) protocols make it possible to retrieve a file from a database without disclosing any information about the identity of the file being retrieved. These protocols have been rigorously explored from an…

Information Theory · Computer Science 2019-05-07 Hsuan-Yin Lin , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat , Eitan Yaakobi

The Lightning Network (LN) is a prominent payment channel network aimed at addressing Bitcoin's scalability issues. Due to the privacy of channel balances, senders cannot reliably choose sufficiently liquid payment paths and resort to a…

Cryptography and Security · Computer Science 2021-03-16 Rene Pickhardt , Sergei Tikhomirov , Alex Biryukov , Mariusz Nowostawski

Private information retrieval (PIR), a privacy-preserving cryptographic tool, solves a simplified version of this problem by hiding the database item that a client accesses. Most PIR protocols require the client to know the exact row index…

Cryptography and Security · Computer Science 2024-03-21 Syed Mahbub Hafiz , Chitrabhanu Gupta , Warren Wnuck , Brijesh Vora , Chen-Nee Chuah

Private information retrieval (PIR) protocols allow a user to retrieve entries of a database without revealing the index of the desired item. Information-theoretical privacy can be achieved by the use of several servers and specific…

Information Theory · Computer Science 2018-09-05 Julien Lavauzelle

We study the problem of single-server single-message Private Information Retrieval with Private Coded Side Information (PIR-PCSI). In this problem, there is a server that stores a database, and a user who knows a random linear combination…

Information Theory · Computer Science 2019-01-29 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson
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