001469737 000__ 03717cam\\2200589\i\4500
001469737 001__ 1469737
001469737 003__ OCoLC
001469737 005__ 20230803003344.0
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001469737 008__ 230616s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001469737 019__ $$a1381441596$$a1381708320
001469737 020__ $$a9783031313233$$q(electronic bk.)
001469737 020__ $$a3031313232$$q(electronic bk.)
001469737 020__ $$z9783031313226
001469737 020__ $$z3031313224
001469737 0247_ $$a10.1007/978-3-031-31323-3$$2doi
001469737 035__ $$aSP(OCoLC)1382652978
001469737 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX
001469737 049__ $$aISEA
001469737 050_4 $$aQA76.9.B56
001469737 08204 $$a005.7401/5113$$223/eng/20230616
001469737 1001_ $$aRiposo, Julien,$$eauthor.
001469737 24510 $$aSome fundamentals of mathematics of blockchain /$$cJulien Riposo.
001469737 264_1 $$aCham :$$bSpringer,$$c[2023]
001469737 264_4 $$c©2023
001469737 300__ $$a1 online resource (xiii, 150 pages)
001469737 336__ $$atext$$btxt$$2rdacontent
001469737 337__ $$acomputer$$bc$$2rdamedia
001469737 338__ $$aonline resource$$bcr$$2rdacarrier
001469737 504__ $$aIncludes bibliographical references and index.
001469737 5050_ $$aI. Blockchain and the Underlying Mathematics -- II. Mathematical Settings of the Blockchain -- III. Digital Signature -- IV. Blockchain Contributors: the Network of Users -- V. Halving and Cycles Theorem -- VI. On Improving the Merkle Trees: the n-Trees -- VII. Entropy of Peer-to-Peer Network -- VIII. Applications: Selection of Research Studies -- Conclusion -- References -- Index.-.
001469737 506__ $$aAccess limited to authorized users.
001469737 520__ $$aThis book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced. Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level.
001469737 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 15, 2023).
001469737 650_0 $$aBlockchains (Databases)$$xMathematics.
001469737 655_0 $$aElectronic books.
001469737 77608 $$iPrint version:$$aRiposo, Julien$$tSome Fundamentals of Mathematics of Blockchain$$dCham : Springer,c2023$$z9783031313226
001469737 852__ $$bebk
001469737 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-31323-3$$zOnline Access$$91397441.1
001469737 909CO $$ooai:library.usi.edu:1469737$$pGLOBAL_SET
001469737 980__ $$aBIB
001469737 980__ $$aEBOOK
001469737 982__ $$aEbook
001469737 983__ $$aOnline
001469737 994__ $$a92$$bISE