What is the Nakamoto Coefficient and How Do You Calculate It?

By: bitcoin ethereum news|2025/05/03 04:30:02
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What is the Nakamoto coefficient? The Nakamoto coefficient is a tool to assess the degree of decentralization. It was proposed in 2017 by Balaji Srinivasan, former CTO of cryptocurrency exchange Coinbase and creator of the Network State concept, in co-authorship with Leland Li. In a paper dedicated to the tool, Quantifying Decentralization , they compared over-centralization to inequality in the economy based on the synergy of the two indicators: The Lorenz curve, a graph of a mathematical function that shows the distribution of income or wealth. The greater the deviation from the line, the greater the inequality. In the blockchain industry, it can reflect the distribution of computing power or tokens among network participants; Gini coefficient is a statistical indicator of the stratification of society by income distribution. The range from 0 to 1 indicates the degree of inequality. The authors of the article reflect on the lack of quantification of decentralization. Their basic idea is as follows: List the key subsystems of a distributed system; determine the number of individual elements to compromise in order to gain control over each of them; use the minimum value of the resulting numbers as an indicator of effective decentralization. The Nakamoto coefficient reflects the minimum number of organizations ( mining pools , validators, or other stakeholders) needed to collectively disrupt or take control of a network. By calculating the ratio for any network, you can understand how difficult it would be for attackers to attack it. What data are used to calculate the coefficient? Srinivasan and Lee noted the impact of subsystems on the accuracy of the calculation. To apply the concept to the realm of public blockchains, it is necessary to separate the system from its elements. Using the bitcoin network as an example, there are six subsystems of decentralization: Mining. In PoWnetworks, miners confirm transactions. The more widely distributed the mining power, the greater the decentralization. In PoS systems, validators are similarly evaluated. Software customers. Customer diversity reduces the risk of a single point of failure.. Developers. Distributed participation of engineers in blockchain updates protects against a small group taking control of the project. Exchanges. A large concentration of tokens on several trading platforms increases the risk of manipulation. Nodes. Nodes distributed across countries and operators make the network more resilient. Token ownership. The distribution of large BTC balances is evaluated. To calculate the final Nakamoto coefficient, the minimum value of all subsystems under study is taken. Centralization of one element reduces the overall decentralization level of the network. What is the Nakamoto coefficient of Bitcoin and Ethereum? The calculation process involves several steps: Identification of key actors. Identification of the main players in the network – mining pools, validators, node operators, token holders.. Assessing the level of control. Analyzing power distribution, such as hash rate in PoW or rate share in PoS.. Summarizing elements. Sorting the participants in descending order and counting their number to reach 51%, the critical value for attacking the network. For an example, consider bitcoin with the following structure of mining pools as of May 1, 2025: Foundry USA – 30.6% hashrate; AntPool – 17.1%; ViaBTC – 15.4%; F2Pool – 9.8%; MARA Pool – 5.6%; To count: Foundry USA = 30.6%; AntPool (30.6% + 17.1% = 47.7%); ViaBTC (47.7% + 15.4% = 63.1%). When the ViaBTC pool was added, the total value crossed the 51% threshold with an indicator of 63.1% – the summation is complete. According to the calculation results, the three pools control more than half of the network, which means the Nakamoto coefficient for bitcoin is 3. Given its decentralized nature with a large number of working bitcoin nodes, distributing computing power among pools can create risks for the network. The task of the Nakamoto factor is to point out the weak elements. The second most capitalized cryptocurrency Ethereum, despite an impressive number of nodes, also does not boast a high degree of decentralization when calculating the share of stakers by PoS consensus mechanism. When performing a similar calculation, the Nakamoto coefficient for Ethereum is 5. The 51.2% threshold is crossed by summing the shares of ETH staking in Lido, Coinbase, Binance, Ether.fi and Kiln. How else is the Nakamoto coefficient being used? PoS networks like Sui and Aptos operate on an architecture of mixed DAG-BFT consensus mechanisms. Such systems require the agreement of only 2/3 of the validators to validate a block. In other words, control over more than 66.6% of tokens allows to actually control block creation. According to analytical resource Nakaflow, Nakamoto Ratio scores among PoS networks are patchy. As of May 1, 2025, one of the lowest values – only 4 – is observed for Polygon. Blockchains Solana, Cardano, Avalanche, THORChain and Avail have average values between 20 and 35. The record holder by a wide margin is the Polkadot parachain network with Nakamoto’s 173 odds. Some blockchain creators are using the Nakamoto coefficient in an attempt to perfect their technology. For example, the team of startup Internet Computer posted a study of decentralizing the network using a modified version of the tool in their technical documentation. The developers noticed that for their project, using a minimum factor value is not always the correct way to assess risks. For example, it is inappropriate to distribute network participants in the sample by continent: the risk of collusion among node providers is not necessarily related to their geographical proximity. At the conclusion of the analysis, the experts came to the use of a weighted average of the coefficient for all subsystems. The Internet Computer subsystems included the following elements: dapps. Applications used by the community are controlled by DAO NNS or individual organizations; protocol management. Supervised by the NNS and is responsible for the code running in the nodes of the network; infrastructure layer. This is the physical layer of Internet Computer, reflecting the participation of network nodes. It is also managed by the NNS. The developers noticed that it is more logical to show the dynamics of changes. For example, an increase in the Nakamoto factor from 1 to 2 in a subsystem is critical because it means that there is no longer a single point of failure in the network. This change is more critical than an increase from 10 to 11. Given that a weighted average would reflect both changes equally, the Internet Computer team suggested using a weighted average of the logarithms of the ratio values to reflect significant changes. The Nakamoto Ratio is a simple tool to estimate the minimum number of participants needed to control a network. It helps understand the distribution of power and assess the security, reliability, and resilience of blockchain platforms. The metric informs developers, investors, and users, driving improvements in governance models, consensus mechanisms, and scalability solutions to increase decentralization. But the Nakamoto coefficient has a number of drawbacks: Staticity. Shows the state of the network at a particular point in time. Since participation is constantly changing, the data quickly becomes outdated. takes into account only onchain data. It is important to remember that multiple validators can belong to the same owner; focus on subsystems. Evaluates only a fraction of pruvers or miners, but ignores factors of client software diversity, geographic distribution, or concentration of token ownership; does not take into account the high cost of investment to start a node, which indirectly affects decentralization; the need to adapt calculations to different consensus mechanisms; external influences. Regulatory measures, technological changes and market dynamics, can affect network decentralization, something the Nakamoto factor does not account for. Source: https://coinpaper.com/8848/what-is-the-nakamoto-coefficient-and-how-do-you-calculate-it

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China's Central Bank and Eight Other Departments' Latest Regulatory Focus: Key Attention to RWA Tokenized Asset Risk


Foreword: Today, the People's Bank of China's website published the "Notice of the People's Bank of China, National Development and Reform Commission, Ministry of Industry and Information Technology, Ministry of Public Security, State Administration for Market Regulation, China Banking and Insurance Regulatory Commission, China Securities Regulatory Commission, State Administration of Foreign Exchange on Further Preventing and Dealing with Risks Related to Virtual Currency and Others (Yinfa [2026] No. 42)", the latest regulatory requirements from the eight departments including the central bank, which are basically consistent with the regulatory requirements of recent years. The main focus of the regulation is on speculative activities such as virtual currency trading, exchanges, ICOs, overseas platform services, and this time, regulatory oversight of RWA has been added, explicitly prohibiting RWA tokenization, stablecoins (especially those pegged to the RMB). The following is the full text:


To the people's governments of all provinces, autonomous regions, and municipalities directly under the Central Government, the Xinjiang Production and Construction Corps:


  Recently, there have been speculative activities related to virtual currency and Real-World Assets (RWA) tokenization, disrupting the economic and financial order and jeopardizing the property security of the people. In order to further prevent and address the risks related to virtual currency and Real-World Assets tokenization, effectively safeguard national security and social stability, in accordance with the "Law of the People's Republic of China on the People's Bank of China," "Law of the People's Republic of China on Commercial Banks," "Securities Law of the People's Republic of China," "Law of the People's Republic of China on Securities Investment Funds," "Law of the People's Republic of China on Futures and Derivatives," "Cybersecurity Law of the People's Republic of China," "Regulations of the People's Republic of China on the Administration of Renminbi," "Regulations on Prevention and Disposal of Illegal Fundraising," "Regulations of the People's Republic of China on Foreign Exchange Administration," "Telecommunications Regulations of the People's Republic of China," and other provisions, after reaching consensus with the Cyberspace Administration of China, the Supreme People's Court, and the Supreme People's Procuratorate, and with the approval of the State Council, the relevant matters are notified as follows:


  I. Clarify the essential attributes of virtual currency, Real-World Assets tokenization, and related business activities


  (I) Virtual currency does not possess the legal status equivalent to fiat currency. Virtual currencies such as Bitcoin, Ether, Tether, etc., have the main characteristics of being issued by non-monetary authorities, using encryption technology and distributed ledger or similar technology, existing in digital form, etc. They do not have legal tender status, should not and cannot be circulated and used as currency in the market.


  The business activities related to virtual currency are classified as illegal financial activities. The exchange of fiat currency and virtual currency within the territory, exchange of virtual currencies, acting as a central counterparty in buying and selling virtual currencies, providing information intermediary and pricing services for virtual currency transactions, token issuance financing, and trading of virtual currency-related financial products, etc., fall under illegal financial activities, such as suspected illegal issuance of token vouchers, unauthorized public issuance of securities, illegal operation of securities and futures business, illegal fundraising, etc., are strictly prohibited across the board and resolutely banned in accordance with the law. Overseas entities and individuals are not allowed to provide virtual currency-related services to domestic entities in any form.


  A stablecoin pegged to a fiat currency indirectly fulfills some functions of the fiat currency in circulation. Without the consent of relevant authorities in accordance with the law and regulations, any domestic or foreign entity or individual is not allowed to issue a RMB-pegged stablecoin overseas.


(II)Tokenization of Real-World Assets refers to the use of encryption technology and distributed ledger or similar technologies to transform ownership rights, income rights, etc., of assets into tokens (tokens) or other interests or bond certificates with token (token) characteristics, and carry out issuance and trading activities.


  Engaging in the tokenization of real-world assets domestically, as well as providing related intermediary, information technology services, etc., which are suspected of illegal issuance of token vouchers, unauthorized public offering of securities, illegal operation of securities and futures business, illegal fundraising, and other illegal financial activities, shall be prohibited; except for relevant business activities carried out with the approval of the competent authorities in accordance with the law and regulations and relying on specific financial infrastructures. Overseas entities and individuals are not allowed to illegally provide services related to the tokenization of real-world assets to domestic entities in any form.


  II. Sound Work Mechanism


  (III) Inter-agency Coordination. The People's Bank of China, together with the National Development and Reform Commission, the Ministry of Industry and Information Technology, the Ministry of Public Security, the State Administration for Market Regulation, the China Banking and Insurance Regulatory Commission, the China Securities Regulatory Commission, the State Administration of Foreign Exchange, and other departments, will improve the work mechanism, strengthen coordination with the Cyberspace Administration of China, the Supreme People's Court, and the Supreme People's Procuratorate, coordinate efforts, and overall guide regions to carry out risk prevention and disposal of virtual currency-related illegal financial activities.


  The China Securities Regulatory Commission, together with the National Development and Reform Commission, the Ministry of Industry and Information Technology, the Ministry of Public Security, the People's Bank of China, the State Administration for Market Regulation, the China Banking and Insurance Regulatory Commission, the State Administration of Foreign Exchange, and other departments, will improve the work mechanism, strengthen coordination with the Cyberspace Administration of China, the Supreme People's Court, and the Supreme People's Procuratorate, coordinate efforts, and overall guide regions to carry out risk prevention and disposal of illegal financial activities related to the tokenization of real-world assets.


  (IV) Strengthening Local Implementation. The people's governments at the provincial level are overall responsible for the prevention and disposal of risks related to virtual currencies and the tokenization of real-world assets in their respective administrative regions. The specific leading department is the local financial regulatory department, with participation from branches and dispatched institutions of the State Council's financial regulatory department, telecommunications regulators, public security, market supervision, and other departments, in coordination with cyberspace departments, courts, and procuratorates, to improve the normalization of the work mechanism, effectively connect with the relevant work mechanisms of central departments, form a cooperative and coordinated working pattern between central and local governments, effectively prevent and properly handle risks related to virtual currencies and the tokenization of real-world assets, and maintain economic and financial order and social stability.


  III. Strengthened Risk Monitoring, Prevention, and Disposal


  (5) Enhanced Risk Monitoring. The People's Bank of China, China Securities Regulatory Commission, National Development and Reform Commission, Ministry of Industry and Information Technology, Ministry of Public Security, State Administration of Foreign Exchange, Cyberspace Administration of China, and other departments continue to improve monitoring techniques and system support, enhance cross-departmental data analysis and sharing, establish sound information sharing and cross-validation mechanisms, promptly grasp the risk situation of activities related to virtual currency and real-world asset tokenization. Local governments at all levels give full play to the role of local monitoring and early warning mechanisms. Local financial regulatory authorities, together with branches and agencies of the State Council's financial regulatory authorities, as well as departments of cyberspace and public security, ensure effective connection between online monitoring, offline investigation, and fund tracking, efficiently and accurately identify activities related to virtual currency and real-world asset tokenization, promptly share risk information, improve early warning information dissemination, verification, and rapid response mechanisms.


  (6) Strengthened Oversight of Financial Institutions, Intermediaries, and Technology Service Providers. Financial institutions (including non-bank payment institutions) are prohibited from providing account opening, fund transfer, and clearing services for virtual currency-related business activities, issuing and selling financial products related to virtual currency, including virtual currency and related financial products in the scope of collateral, conducting insurance business related to virtual currency, or including virtual currency in the scope of insurance liability. Financial institutions (including non-bank payment institutions) are prohibited from providing custody, clearing, and settlement services for unauthorized real-world asset tokenization-related business and related financial products. Relevant intermediary institutions and information technology service providers are prohibited from providing intermediary, technical, or other services for unauthorized real-world asset tokenization-related businesses and related financial products.


  (7) Enhanced Management of Internet Information Content and Access. Internet enterprises are prohibited from providing online business venues, commercial displays, marketing, advertising, or paid traffic diversion services for virtual currency and real-world asset tokenization-related business activities. Upon discovering clues of illegal activities, they should promptly report to relevant departments and provide technical support and assistance for related investigations and inquiries. Based on the clues transferred by the financial regulatory authorities, the cyberspace administration, telecommunications authorities, and public security departments should promptly close and deal with websites, mobile applications (including mini-programs), and public accounts engaged in virtual currency and real-world asset tokenization-related business activities in accordance with the law.


  (8) Strengthened Entity Registration and Advertisement Management. Market supervision departments strengthen entity registration and management, and enterprise and individual business registrations must not contain terms such as "virtual currency," "virtual asset," "cryptocurrency," "crypto asset," "stablecoin," "real-world asset tokenization," or "RWA" in their names or business scopes. Market supervision departments, together with financial regulatory authorities, legally enhance the supervision of advertisements related to virtual currency and real-world asset tokenization, promptly investigating and handling relevant illegal advertisements.


  (IX) Continued Rectification of Virtual Currency Mining Activities. The National Development and Reform Commission, together with relevant departments, strictly controls virtual currency mining activities, continuously promotes the rectification of virtual currency mining activities. The people's governments of various provinces take overall responsibility for the rectification of "mining" within their respective administrative regions. In accordance with the requirements of the National Development and Reform Commission and other departments in the "Notice on the Rectification of Virtual Currency Mining Activities" (NDRC Energy-saving Building [2021] No. 1283) and the provisions of the "Guidance Catalog for Industrial Structure Adjustment (2024 Edition)," a comprehensive review, investigation, and closure of existing virtual currency mining projects are conducted, new mining projects are strictly prohibited, and mining machine production enterprises are strictly prohibited from providing mining machine sales and other services within the country.


  (X) Severe Crackdown on Related Illegal Financial Activities. Upon discovering clues to illegal financial activities related to virtual currency and the tokenization of real-world assets, local financial regulatory authorities, branches of the State Council's financial regulatory authorities, and other relevant departments promptly investigate, determine, and properly handle the issues in accordance with the law, and seriously hold the relevant entities and individuals legally responsible. Those suspected of crimes are transferred to the judicial authorities for processing according to the law.


 (XI) Severe Crackdown on Related Illegal and Criminal Activities. The Ministry of Public Security, the People's Bank of China, the State Administration for Market Regulation, the China Banking and Insurance Regulatory Commission, the China Securities Regulatory Commission, as well as judicial and procuratorial organs, in accordance with their respective responsibilities, rigorously crack down on illegal and criminal activities related to virtual currency, the tokenization of real-world assets, such as fraud, money laundering, illegal business operations, pyramid schemes, illegal fundraising, and other illegal and criminal activities carried out under the guise of virtual currency, the tokenization of real-world assets, etc.


  (XII) Strengthen Industry Self-discipline. Relevant industry associations should enhance membership management and policy advocacy, based on their own responsibilities, advocate and urge member units to resist illegal financial activities related to virtual currency and the tokenization of real-world assets. Member units that violate regulatory policies and industry self-discipline rules are to be disciplined in accordance with relevant self-regulatory management regulations. By leveraging various industry infrastructure, conduct risk monitoring related to virtual currency, the tokenization of real-world assets, and promptly transfer issue clues to relevant departments.


  IV. Strict Supervision of Domestic Entities Engaging in Overseas Business Activities


(XIII) Without the approval of relevant departments in accordance with the law and regulations, domestic entities and foreign entities controlled by them may not issue virtual currency overseas.


  (XIV) Domestic entities engaging directly or indirectly in overseas external debt-based tokenization of real-world assets, or conducting asset securitization activities abroad based on domestic ownership rights, income rights, etc. (hereinafter referred to as domestic equity), should be strictly regulated in accordance with the principles of "same business, same risk, same rules." The National Development and Reform Commission, the China Securities Regulatory Commission, the State Administration of Foreign Exchange, and other relevant departments regulate it according to their respective responsibilities. For other forms of overseas real-world asset tokenization activities based on domestic equity by domestic entities, the China Securities Regulatory Commission, together with relevant departments, supervise according to their division of responsibilities. Without the consent and filing of relevant departments, no unit or individual may engage in the above-mentioned business.


  (15) Overseas subsidiaries and branches of domestic financial institutions providing Real World Asset Tokenization-related services overseas shall do so legally and prudently. They shall have professional personnel and systems in place to effectively mitigate business risks, strictly implement customer onboarding, suitability management, anti-money laundering requirements, and incorporate them into the domestic financial institutions' compliance and risk management system. Intermediaries and information technology service providers offering Real World Asset Tokenization services abroad based on domestic equity or conducting Real World Asset Tokenization business in the form of overseas debt for domestic entities directly or indirectly venturing abroad must strictly comply with relevant laws and regulations. They should establish and improve relevant compliance and internal control systems in accordance with relevant normative requirements, strengthen business and risk control, and report the business developments to the relevant regulatory authorities for approval or filing.


  V. Strengthen Organizational Implementation


  (16) Strengthen organizational leadership and overall coordination. All departments and regions should attach great importance to the prevention of risks related to virtual currencies and Real World Asset Tokenization, strengthen organizational leadership, clarify work responsibilities, form a long-term effective working mechanism with centralized coordination, local implementation, and shared responsibilities, maintain high pressure, dynamically monitor risks, effectively prevent and mitigate risks in an orderly and efficient manner, legally protect the property security of the people, and make every effort to maintain economic and financial order and social stability.


  (17) Widely carry out publicity and education. All departments, regions, and industry associations should make full use of various media and other communication channels to disseminate information through legal and policy interpretation, analysis of typical cases, and education on investment risks, etc. They should promote the illegality and harm of virtual currencies and Real World Asset Tokenization-related businesses and their manifestations, fully alert to potential risks and hidden dangers, and enhance public awareness and identification capabilities for risk prevention.


  VI. Legal Responsibility


  (18) Engaging in illegal financial activities related to virtual currencies and Real World Asset Tokenization in violation of this notice, as well as providing services for virtual currencies and Real World Asset Tokenization-related businesses, shall be punished in accordance with relevant regulations. If it constitutes a crime, criminal liability shall be pursued according to the law. For domestic entities and individuals who knowingly or should have known that overseas entities illegally provided virtual currency or Real World Asset Tokenization-related services to domestic entities and still assisted them, relevant responsibilities shall be pursued according to the law. If it constitutes a crime, criminal liability shall be pursued according to the law.


  (19) If any unit or individual invests in virtual currencies, Real World Asset Tokens, and related financial products against public order and good customs, the relevant civil legal actions shall be invalid, and any resulting losses shall be borne by them. If there are suspicions of disrupting financial order and jeopardizing financial security, the relevant departments shall deal with them according to the law.


  This notice shall enter into force upon the date of its issuance. The People's Bank of China and ten other departments' "Notice on Further Preventing and Dealing with the Risks of Virtual Currency Trading Speculation" (Yinfa [2021] No. 237) is hereby repealed.


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