Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)

The bitcoin lightning network (BLN), a so-called ‘second layer’ payment protocol, was launched in 2018 to scale up the number of transactions between bitcoin owners. In this paper, we analyse the structure of the BLN over a period of 18 months, ranging from 12th January 2018 to 17th July 2019, at th...

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Main Authors: Jian-Hong Lin, Kevin Primicerio, Tiziano Squartini, Christian Decker, Claudio J Tessone
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac122d
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author Jian-Hong Lin
Kevin Primicerio
Tiziano Squartini
Christian Decker
Claudio J Tessone
author_facet Jian-Hong Lin
Kevin Primicerio
Tiziano Squartini
Christian Decker
Claudio J Tessone
author_sort Jian-Hong Lin
collection DOAJ
description The bitcoin lightning network (BLN), a so-called ‘second layer’ payment protocol, was launched in 2018 to scale up the number of transactions between bitcoin owners. In this paper, we analyse the structure of the BLN over a period of 18 months, ranging from 12th January 2018 to 17th July 2019, at the end of which the network has reached 8.216 users, 122.517 active channels and 2.732,5 transacted bitcoins. Here, we consider three representations of the BLN: the daily snapshot one, the weekly snapshot one and the daily-block snapshot one. By studying the topological properties of the binary and weighted versions of the three representations above, we find that the total volume of transacted bitcoins approximately grows as the square of the network size; however, despite the huge activity characterising the BLN, the bitcoins distribution is very unequal: the average Gini coefficient of the node strengths (computed across the entire history of the Bitcoin Lightning Network) is, in fact, ≃0.88 causing the 10% (50%) of the nodes to hold the 80% (99%) of the bitcoins at stake in the BLN (on average, across the entire period). This concentration brings up the question of which minimalist network model allows us to explain the network topological structure. Like for other economic systems, we hypothesise that local properties of nodes, like the degree, ultimately determine part of its characteristics. Therefore, we have tested the goodness of the undirected binary configuration model (UBCM) in reproducing the structural features of the BLN: the UBCM recovers the disassortative and the hierarchical character of the BLN but underestimates the centrality of nodes; this suggests that the BLN is becoming an increasingly centralised network, more and more compatible with a core-periphery structure. Further inspection of the resilience of the BLN shows that removing hubs leads to the collapse of the network into many components, an evidence suggesting that this network may be a target for the so-called split attacks .
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spelling doaj.art-680f2a8d38494244ac4a324bd1168e242023-08-08T15:36:21ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123707950110.1088/1367-2630/ac122dCorrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)Jian-Hong Lin0https://orcid.org/0000-0003-2874-3917Kevin Primicerio1Tiziano Squartini2https://orcid.org/0000-0001-9011-966XChristian Decker3Claudio J Tessone4URPP Social Networks, University of Zurich , Andreasstrasse 15, CH-8050 Zürich, Switzerland; ETH Zürich, Department of Management , Technology and Economics, Scheuchzerstrasse 7, CH-8092 Zürich, Switzerland; UZH Blockchain Center, University of Zurich , Andreasstrasse 15, CH-8050 Zürich, SwitzerlandMathmatiques et Informatique pour la Complexité et les Systèmes, CentraleSupélec, Université Paris-Saclay , FR-91190 Gif-Sur-Yvette, FranceIMT School for Advanced Studies Lucca , Piazza San Francesco 19, I-55100 Lucca, ItalyBlockstream Corporation Inc. , QC H4M 2X6 Montreal, CanadaURPP Social Networks, University of Zurich , Andreasstrasse 15, CH-8050 Zürich, Switzerland; UZH Blockchain Center, University of Zurich , Andreasstrasse 15, CH-8050 Zürich, SwitzerlandThe bitcoin lightning network (BLN), a so-called ‘second layer’ payment protocol, was launched in 2018 to scale up the number of transactions between bitcoin owners. In this paper, we analyse the structure of the BLN over a period of 18 months, ranging from 12th January 2018 to 17th July 2019, at the end of which the network has reached 8.216 users, 122.517 active channels and 2.732,5 transacted bitcoins. Here, we consider three representations of the BLN: the daily snapshot one, the weekly snapshot one and the daily-block snapshot one. By studying the topological properties of the binary and weighted versions of the three representations above, we find that the total volume of transacted bitcoins approximately grows as the square of the network size; however, despite the huge activity characterising the BLN, the bitcoins distribution is very unequal: the average Gini coefficient of the node strengths (computed across the entire history of the Bitcoin Lightning Network) is, in fact, ≃0.88 causing the 10% (50%) of the nodes to hold the 80% (99%) of the bitcoins at stake in the BLN (on average, across the entire period). This concentration brings up the question of which minimalist network model allows us to explain the network topological structure. Like for other economic systems, we hypothesise that local properties of nodes, like the degree, ultimately determine part of its characteristics. Therefore, we have tested the goodness of the undirected binary configuration model (UBCM) in reproducing the structural features of the BLN: the UBCM recovers the disassortative and the hierarchical character of the BLN but underestimates the centrality of nodes; this suggests that the BLN is becoming an increasingly centralised network, more and more compatible with a core-periphery structure. Further inspection of the resilience of the BLN shows that removing hubs leads to the collapse of the network into many components, an evidence suggesting that this network may be a target for the so-called split attacks .https://doi.org/10.1088/1367-2630/ac122dbitcoin lightning networkcentralisationcore-peripheryinequalitynull models
spellingShingle Jian-Hong Lin
Kevin Primicerio
Tiziano Squartini
Christian Decker
Claudio J Tessone
Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
New Journal of Physics
bitcoin lightning network
centralisation
core-periphery
inequality
null models
title Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
title_full Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
title_fullStr Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
title_full_unstemmed Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
title_short Corrigendum: Lightning network: a second path towards centralisation of the bitcoin economy (2020 New J. Phys. 22 083022)
title_sort corrigendum lightning network a second path towards centralisation of the bitcoin economy 2020 new j phys 22 083022
topic bitcoin lightning network
centralisation
core-periphery
inequality
null models
url https://doi.org/10.1088/1367-2630/ac122d
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