Casinos Welcome Bonus  Best Suited For  JACKBIT 100 no-wager free spins + No-KYC + 30% Rakeback Best for High Rollers BetWhale  (US, AU, & CA) 250% up to $2,500 on casino games + 200% up to $6,000 on sports Best for US Players BitStarz 300% up to $500 or 5 BTC + 180 free spins […] The post 5 Best Crypto Casinos 2025: Safe Bitcoin Online Casinos Tested & Approved By Local Players appeared first on Live Bitcoin News.Casinos Welcome Bonus  Best Suited For  JACKBIT 100 no-wager free spins + No-KYC + 30% Rakeback Best for High Rollers BetWhale  (US, AU, & CA) 250% up to $2,500 on casino games + 200% up to $6,000 on sports Best for US Players BitStarz 300% up to $500 or 5 BTC + 180 free spins […] The post 5 Best Crypto Casinos 2025: Safe Bitcoin Online Casinos Tested & Approved By Local Players appeared first on Live Bitcoin News.

5 Best Crypto Casinos 2025: Safe Bitcoin Online Casinos Tested & Approved By Local Players

2025/10/30 22:30
CasinosWelcome Bonus Best Suited For 
JACKBIT100 no-wager free spins + No-KYC + 30% RakebackBest for High Rollers
BetWhale 

(US, AU, & CA)

250% up to $2,500 on casino games + 200% up to $6,000 on sportsBest for US Players
BitStarz300% up to $500 or 5 BTC + 180 free spinsBest for Provably Fair Gameplay & Fast Withdrawals
KatsuBet325% up to 5 BTC + 200 free spinsBest for Flexible Transactions & 20+ Cryptocurrencies
7Bit Casino325% up to 5.25 BTC + 250 free spinsBest for Large Welcome Bonus

Cryptocurrency casinos are shaping the online gambling industry for a good reason. From fast payouts to a wide variety of bonuses and a plethora of games, playing at the best crypto casinos is all you need to enjoy the best possible gambling experience. With many Bitcoin casinos boasting numerous features, we tested the big names and picked the best ones to offer you a confident and secure gameplay experience in 2025.

💡Pro Tip: Choose JACKBIT for ultra-fast crypto payouts and 20+ supported coins

Best Bitcoin Casino Sites: Picked for Security, Fun, and Massive Rewards

Finding the best crypto casinos that actually deliver security, fun gameplay, and alluring rewards is indeed a task. However, we’ve taken the time and courage to deliver it to our players, and here is our best crypto casino list of 2025!

Key Takeaways: 

  • Generous Crypto Bonuses
  • Vast Game Variety
  • Fast and Fee-Free Payouts
  • Strong Security and Fairness
  • Mobile-Optimized Experience

Best Online Crypto Casinos of 2025: 5 Top Bitcoin Online Casinos Reviewed

Here is a detailed overview of the best crypto casinos of 2025. Each casino listed here has been vetted for licensing, security protocols, and fast payouts. Dive in to know more about what’s hidden inside these top Bitcoin casinos that can level up your profitable gameplay in 2025. 

1. JACKBIT: Best Crypto Casino Overall, Offering Fast Withdrawals and an Extra Layer of Anonymity

Key Highlights

  • No-KYC casino with great anonymity
  • Play 6,000+ casino games or bet on 100+ sports
  • Mobile-friendly website with 12+ language support
  • RNG certified transparency
  • Cash prizes all day long, with Drops & Wins

🎁Welcome Bonus

Jackbit values both casino and sports enthusiasts, and splits its welcome bonus into two. 

  • Casino Welcome Bonus: 30% Rakeback + 100 free spins without a wagering requirement. 
  • Sports Welcome Bonus: 100% cashback on first lost sports bet. 

🎉Ongoing Promotions

  • Lol Worlds Booster: Bet min $10 and get a 10% boost on bets won
  • Champions League Cashback: Claim 20% cashback on lost bets
  • US Leagues Cashback: Get 10% cashback on lost bets
  • Bet Masters Sports Tournament: Claim $20,000 prize pool weekly
  • Instant Games Tournament: Win a share of $500 every day
  • Weekly Casino Tournament: Get a share of $10,000 every week
  • Rakeback VIP Club: Instant cashback
  • 3 + 1 Free Bet: Get 4th ticket as a free gift in sports
  • Bet Insurance: 10% cashback as a free bet

2. BetWhale: Best Bitcoin Casino USA with $6,000 Welcome Bonus on Sports

Key Highlights

  • 4,500+ casino games, including high RTP slots and tables
  • Every 24-hour updated live dealer section 
  • Unbeatable selection of sports, with major leagues in the US
  • Fast and secure payments with no fees
  • 24/7 efficient customer support

🎁Welcome Bonus

Here’s how BetWhale’s welcome bonus is distributed across casino and sports games. 

  • Casino Welcome Bonus: 250% up to $2,500 on slots, table games, and cards.
  • Sports Welcome Bonus: 200% up to $6,000 if deposited with crypto or 100% up to $1,000 with fiat currency deposits. 

🎉Ongoing Promotions

  • Pick A Box: Unlock the mystery prizes hidden 
  • Unlock Missions, Levels, and Tournaments with your first deposit

3. BitStarz: Best Crypto Casino with 500+ Cryptocurrency Acceptance and Extravagant Promotional Offers

Key Highlights

  • Play high RTP casino games, including originals
  • Huge range of promotional offers, including a level-up bonus
  • Fire in the Hole 3 game, with 46,656 ways to win
  • Weekly tournaments with dollar prizes and free spins
  • Numerous Halloween games, including Halloween Boonanza

🎁Welcome Bonus

Get 300% up to $500 or 5 BTC and 180 free spins on your first four deposits, which is all you want to have a great start at this best crypto casino. 

  • 1st deposit: 100% up to $100 or 1 BTC + 180 free spins
  • 2nd deposit: 50% up to $100 or 1 BTC
  • 3rd deposit: 50% up to $200 or 2 BTC
  • 4th deposit: 100% up to $100 or 1 BTC

🎉Ongoing Promotions

  • Bonuz Mania: Cashbacks, Piggyz Break, Deposit Multipliers, and more
  • Level Up Adventure: $70,000 in prizes for every player
  • BitStarz Originals Tournament: $5000 cash, among the first 500 places
  • Slot Wars: €5,000 and 5,000 free spins weekly
  • Table Wars: €10,000 cash, among the first 50 places
  • Jackpotz Mania: Minor and mega jackpots
  • Piggyz Mania: Collect Piggyz, starting from 5x your deposits

4. KatsuBet: Top Real Bitcoin Casino with Highroller Welcome Bonus and Regular Tournaments

Key Highlights

  • 7,000+ game lobby, including high RTP ‘10 Lucky Spins’
  • Classify games based on RTP, themes, and megaways
  • Secure and safe crypto payouts within minutes
  • Accredited by a certificate of trust by AskGamblers
  • Strong adherence to responsible gambling

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4-tier welcome package with 325% up to 5 BTC and 200 free spins. Here is how the distribution goes,

  • 1st deposit: 100% up to 1.5 BTC + 100 free spins
  • 2nd deposit: 75% up to 1.25 BTC + 100 free spins
  • 3rd deposit: 50% up to 1.25 BTC
  • 4th deposit: 100% up to 1 BTC

🎉Ongoing Promotions

  • Welcome Highroller Bonus: 50% match + unlimited max cashouts
  • BTC Exclusive Bonus: Get 75 free spins once a week
  • Pre-Release Bonus: Claim 35 free spins
  • Monday Reload Bonus: Grab up to 0.0041 BTC + 50 free spins
  • Wednesday Free Spins: Get 35, 75, or 100 free spins
  • Thursday Loot Box: Open the loot box to get 45, 85, or 100 free spins
  • Weekend Bonus: Exclusive weekend offers
  • Daily Cashback: 5%, 7%, or 10% cashback for the previous day’s losses
  • Birthday Bonus: Get a guaranteed birthday present from KatsuBet

5. 7Bit Casino: Best Crypto Casino with Massive 250 Free Spins Welcome Bonus and Diverse Payment Options

Key Highlights

  • Top Bitcoin gambling site with 10,000+ casino games
  • 325% and 250 free spins welcome bonus
  • Halloween special Jackpot Bats tournament, with just 0.01 USD
  • Telegram exclusive bonuses and weekend free spins
  • Instant payout casino, with 10+ cryptocurrency acceptance

🎁Welcome Bonus

Offering one of the highest welcome bonuses in the crypto casino industry, ie 325% up to 5.25 BTC, and 250 free spins, 7Bit is loved by every player. 

  • 1st deposit: 100% up to 3.44 mBTC + 100 free spins
  • 2nd deposit: 75% up to 5.16 mBTC + 100 free spins
  • 3rd deposit: 50% up to 3.44 mBTC 
  • 4th deposit: 100% up to 34.4 mBTC + 50 free spins

🎉Ongoing Promotions

  • Pre-Release Offer: Get 35 free spins 
  • Wheel of Fortune: Spin the wheel to receive random rewards
  • Weekly Cashback: Get up to 20% cashback
  • Wednesday Free Spins: Collect 35, 75, or 100 free spins
  • Telegram Offer: 50 (joining), 111 (Friday), or 66 (Sunday) free spins
  • Monday Reload Bonus: 25% up to 4.3 mBTC + 50 free spins
  • Birthday Bonus: Get crypto deposit bonuses or free chips

Top Games at Best Crypto Casinos: Apply Our Tips to Boost Your Winnings

Best crypto casinos host a vast range of games that cater to all types of players and every budget. Though the games at different sites vary, here are the most popular games you can find at top Bitcoin gambling sites. 

Are you an experienced player? Don’t skip, we have some tips to boost your wins at these games!

1. Slots

Offering a variety of themes, features, and RTP, slots are one of the most searched games at the best crypto casinos. From classic 3-reel slots to video slots and megaways, you can choose from a variety of collections. 

❓How to Play: Place the bet, spin the reel, and collect the payout if the reel stops on a winning combination. 

💡Pro-Tip: Choose high RTP and low volatility slots for frequent and consistent wins. 

2. Blackjack

One of the most common table games available at the best crypto casinos. Apart from traditional blackjack, you can play numerous variants, including Multi-hand Blackjack, VIP Blackjack, etc. 

❓How to Play: Place your bets, and decide to ‘hit’ or ‘stand’. The ultimate goal is to beat the dealer without going over 21. You could win up to 2x of your bets. 

💡Pro-Tip: Read rules regarding double-downs, splits, and surrender; these vary significantly across different versions and greatly impact your winning potential. 

3. Roulette

Comparably, a simple classic table game, Roulette, blends perfectly with crypto gambling, where you can bet on numerous variants such as American, European, and French roulette with your favourite cryptocurrency.

❓How to Play: Place inside (numbers, up to 35x payout) or outside bet (colours, even/odd, up to 3x payout) and wait for the ball to land in the winning combinations. 

💡Pro-Tip: Check rules and payouts across different variants to choose the one that caters to your requirements. 

4. Baccarat

Baccarat is a banking game with a low house edge, meaning the chances of receiving large payouts are high. Mini Baccarat, European Baccarat, No-commission Baccarat, etc, are the different variants you can play at online casinos that accept Bitcoin. 

❓How to Play: Place a bet on the banker, player, or tie, and the hand that gets closest to nine first, without going over, wins the game.

💡Pro-Tip: Placing a bet on the banker has a higher probability of winning than a player or a tie bet. Tie bet has the least winning probability. 

5. Poker

Poker is one of the most strategic games at crypto casinos. With a varying number of cards and slightly different rules, you can play a wide variety of poker variants, including Texas Hold’em, Omaha Poker, Caribbean Stud, Three-card Poker, etc. 

❓How to Play: Place a bet, receive the cards, and form the best combination of cards dealt. 

💡Pro-Tip: Instead of playing too many cards, try playing a few cards with great aggression. Also, use a poker cheat for quick reference. 

6. Bitcoin Games

Crash, Plinko, and Dice are some of the common BTC games available. These games add fun to crypto gambling while offering high payouts. 

Crash: Players place a bet and watch the multiplier. The goal is to cash out before the crash. The longer you hold, the higher the payout you receive. 

Plinko: A provably fair game, where a ball is dropped in a triangular board and lands in one of the many payout slots. Players can adjust the risk level and number of rows, making it suitable for both beginners and high rollers. 

Dice: Playing Dice at crypto casinos allows you to verify the game outcome using provably fair. Bet on whether the dice will land on a specific number or a combination, and receive payouts for the right outcomes. 

Best Crypto Casinos: Final Thoughts

Transforming how payouts are processed and games are verified, the blockchain-based crypto casinos have become a pillar of the online gambling industry. From fast payouts to most rewarding bonuses and provably fair games, the features that were once a dream are now put together in front of players in the best crypto casinos. 

The top crypto casinos listed above are fully legitimate and tamper-proof, and with time, more features such as welcome bonuses up to $30,000, high cashbacks, etc, can be expected. Be an early player at these casinos and level up your games and profits. 

Frequently Asked Questions on Best Crypto Casinos

1. How long do withdrawals take at the best crypto casinos?

The average time required for payouts to reach your crypto wallets is generally 1 to 10 minutes. 

2. Which is the best offer a high-stakes player can claim at Bitcoin casinos?

Bitcoin casinos offer VIP programs exclusively for high rollers and active players, providing attractive rewards such as high betting limits, high withdrawal limits, and personalised customer support. 

3. How to select the best no-deposit bonus at crypto casinos?

The best no-deposit bonus is the one that offers the largest bonus amount with the lowest wagering requirements. 

4. Which is the best instant withdrawal no-KYC casino?

Jackbit is the best instant withdrawal no-KYC casino you can play in 2025. 

5. Are all crypto casinos provably fair?

Most crypto casinos are provably fair, allowing you to verify the game outcomes yourself. 

The post 5 Best Crypto Casinos 2025: Safe Bitcoin Online Casinos Tested & Approved By Local Players appeared first on Live Bitcoin News.

Disclaimer: The articles reposted on this site are sourced from public platforms and are provided for informational purposes only. They do not necessarily reflect the views of MEXC. All rights remain with the original authors. If you believe any content infringes on third-party rights, please contact service@support.mexc.com for removal. MEXC makes no guarantees regarding the accuracy, completeness, or timeliness of the content and is not responsible for any actions taken based on the information provided. The content does not constitute financial, legal, or other professional advice, nor should it be considered a recommendation or endorsement by MEXC.
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Bitcoin White Paper: A Peer-to-Peer Cash System

Bitcoin White Paper: A Peer-to-Peer Cash System

PANews Editor's Note: On October 31, 2008, Satoshi Nakamoto published the Bitcoin white paper, and today marks its 17th anniversary. The following is a translation of the white paper by Li Xiaolai, for everyone to revisit this classic work. Summary: A purely peer-to-peer version of electronic cash would allow online payments to be sent directly from one party to another without going through a financial institution. While digital signatures offer a partial solution, the main advantage of electronic payments is negated if a trusted third party is still required to prevent double-spending. We propose a scheme using a peer-to-peer network to address the double-spending problem. The peer-to-peer network timestamps each transaction by recording the transaction's hash data onto a continuously expanding, hash-based proof-of-work chain, forming a record that cannot be altered unless completely rewritten. The longest chain serves two purposes: proving witnessed events and their order, and simultaneously proving it originated from the largest pool of CPU power. As long as the vast majority of CPU power is controlled by benign nodes—that is, nodes that do not cooperate with those attempting to attack the network—benign nodes will generate the longest chain and outpace attackers. The network itself requires a minimal structure. Information will propagate on a best-effort basis, and nodes are free to come and go; however, upon joining, they must always accept the longest proof-of-work chain as proof of everything that happened during their absence. 1. Introduction Internet commerce relies almost entirely on financial institutions as trusted third parties to process electronic payments. While this system works reasonably well for most transactions, it is still hampered by the inherent flaws of its trust-based model. Completely irreversible transactions are practically impossible because financial institutions cannot avoid arbitrating disputes. Arbitration costs increase transaction costs, which in turn limit the minimum possible transaction size and effectively prevent many small payments. Beyond this, there are even greater costs: the system cannot provide irreversible payments for irreversible services. The possibility of reversibility creates an omnipresent need for trust. Merchants must be wary of their customers, requiring them to provide additional information that would otherwise be unnecessary (if trusted). A certain percentage of fraud is considered unavoidable. These costs and payment uncertainties, while avoidable when paying with physical currency directly between people, lack any mechanism that allows payments to be made through communication channels when one party is not trusted. What we truly need is an electronic payment system based on cryptographic proofs rather than trust, allowing any two parties to transact directly without needing to trust a third party. Irreversible transactions guaranteed by computational power help sellers avoid fraud, while everyday guarantee mechanisms to protect buyers are easily implemented. In this paper, we propose a solution to double-spending by using peer-to-peer, distributed timestamping servers to generate computational power-based proofs, recording each transaction chronologically. This system is secure as long as honest nodes collectively possess more CPU power than colluding attackers. 2. Transactions We define an electronic coin as a digital signature chain. When an owner transfers a coin to another person, they append the following digital signature to the end of this chain: the hash of the previous transaction and the new owner's public key. The recipient can verify ownership of the digital signature chain by verifying the signature. The problem with this approach is that the recipient cannot verify that none of the previous owners have double-spended the currency. A common solution is to introduce a trusted centralized authority, or "mint," to check every transaction for double-spending. After each transaction, the coin must return to the mint, which then issues a new coin. Thus, only coins directly issued by the mint are considered trustworthy and free from double-spending. The problem with this solution is that the fate of the entire monetary system is tied to the company operating the mint (much like a bank), and every transaction must go through it. We need a way for the recipient to confirm that the previous owner did not sign any previous transactions. For our purposes, only the earliest transaction counts, so we are not concerned with subsequent double-spending attempts. The only way to confirm the non-existence of a transaction is to know all transactions. In the mint model, the mint already knows all transactions and can confirm their order. To accomplish this without the involvement of a "trusted party," the transaction record must be publicly announced, thus requiring a system that allows participants to agree on the same unique transaction history they receive. The recipient needs to prove that at the time each transaction occurs, a majority of nodes agree that it was the first one received. 3. Timestamp Server This solution begins with a timestamp server. A timestamp server works by timestamping the hash of a block of items and then broadcasting the hash, much like a newspaper does or a post in a Usenet newsgroup [2-5]. Clearly, the timestamp proves that the data existed before that point in time; otherwise, the hash couldn't be generated. Each timestamp contains previous timestamps in its hash, thus forming a chain; each new timestamp is added after the previous ones. 4. Proof of Work To implement a peer-to-peer distributed timestamp server, we need a proof-of-work system similar to Adam Burke's HashCash, rather than something like a newspaper or newsgroup post. Proof-of-work involves finding a value that meets the following condition: after hashing it—for example, using SHA-256—the hash must begin with a certain number of zeros. Each additional zero increases the workload exponentially, while verifying this workload only requires calculating a single hash. In our timestamp network, we implement proof-of-work as follows: A random number is continuously added to each block until a value that meets a condition is found: the block's hash begins with a specified number of zeros. Once the CPU's computational power yields a result that satisfies the proof-of-work, the block can no longer be modified unless all previous work is redone. As new blocks are continuously added, modifying the current block means redoing the work for all subsequent blocks. Proof-of-Work (PoL) also solves the problem of determining who represents the majority in making decisions. If the so-called "majority" is determined by a "one IP address, one vote" system, then anyone who can control a large number of IP addresses could be considered part of the "majority." PoL, in essence, is "one CPU, one vote." The so-called "majority decision" is represented by the longest chain, because it's the chain with the most work invested. If the majority of CPU power is controlled by honest nodes, then the honest chain grows the fastest, far outpacing other competing chains. To change an already generated block, an attacker would have to re-complete the proof-of-work for that block and all subsequent blocks, and then catch up with and surpass the work done by the honest nodes. The following section explains why the probability of a delayed attacker catching up decreases exponentially with the number of blocks. To cope with the continuous increase in overall hardware computing power and the potential changes in the number of participating nodes over time, the proof-of-work difficulty is determined by a moving average based on the average number of blocks generated per hour. If blocks are generated too quickly, the difficulty will increase. 5. Network The steps to run a network are as follows: All new transactions are broadcast to all nodes; Each node packages new transactions into a block; Each node begins by finding a challenging proof-of-work for this block; When a block finds its proof of work, it must broadcast this block to all nodes; Many other nodes will accept a block if and only if all of the following conditions are met: all transactions in the block are valid and have not been double-spended; The way numerous nodes indicate to the network that they accept a block is to use the hash of the accepted block as the hash of the previous block when creating the next block. Nodes consistently recognize the longest chain as correct and continuously add new data to it. If two nodes simultaneously broadcast two different versions of the "next block," some nodes will receive one first, while others will receive the other. In this case, nodes will continue working on the block they received first, but will also save the other branch in case the latter becomes the longest chain. When the next proof-of-work is found, and one of the branches becomes the longer chain, this temporary divergence is resolved, and the nodes working on the other branch will switch to the longer chain. New transactions don't necessarily need to be broadcast to all nodes. Once they reach enough nodes, they will soon be packaged into a block. Block broadcasting also allows some messages to be dropped. If a node doesn't receive a block, it will realize it missed the previous block when it receives the next block, and will therefore issue a request to resubmit the missing block. 6. Incentive As agreed, the first transaction of each block is a special transaction that generates a new coin, owned by the block's creator. This rewards nodes that support the network and provides a way to issue coins into circulation—in this system, there's no centralized authority issuing those coins. This steady increase in the number of new coins entering circulation is analogous to gold miners continuously consuming their resources to add gold to the system. In our system, the resources consumed are CPU time and the electricity they use. Rewards can also come from transaction fees. If the output value of a transaction is less than its input value, the difference is the transaction fee; this fee is used to reward nodes for including the transaction in the block. Once a predetermined number of coins are in circulation, the rewards will be entirely distributed through transaction fees, and there will be absolutely no inflation. The reward mechanism may also incentivize nodes to remain honest. If a greedy attacker manages to acquire more CPU power than all honest nodes combined, he must choose: use that power to cheat others by stealing back the money he's spent, or use it to generate new coins? He should be able to see that following the rules is more advantageous; the current rules allow him to acquire more coins than all the others combined, which is clearly more profitable than secretly destroying the system and losing his wealth. 7. Reclaiming Disk Space If a coin's most recent transaction occurred a sufficient number of blocks ago, then all previous transactions involving that coin can be discarded—this is to save disk space. To achieve this without corrupting the block's hash, the transaction hashes are incorporated into a Merkle tree [7, 2, 5], with only the root of the tree included in the block's hash. By pruning the branches, older blocks can be compressed. The internal hashes do not need to be preserved. A block header without any transactions is approximately 80 bytes. Assuming a block is generated every ten minutes, 80 bytes multiplied by 6, 24, and 365 equals 4.2 MB per year. As of 2008, most computers on the market had 2GB of RAM, and according to Moore's Law, this would increase by 1.2 GB per year, so even if block headers had to be stored in memory, it wouldn't be a problem. 8. Simplified Payment Verification Payment confirmation is possible even without running a full network node. A user only needs a copy of the block header from the longest chain with proof-of-work—which they can verify by checking online nodes to confirm it comes from the longest chain—and then obtains the branch node of the Merkle tree, connecting to the transaction at the time the block was timestamped. The user cannot check the transaction themselves, but by connecting to somewhere on the chain, they can see that a network node has accepted the transaction, and subsequent blocks further confirm that the network has accepted it. As long as honest nodes retain control of the network, verification remains reliable. However, verification becomes less reliable if the network is controlled by an attacker. Although network nodes can verify transaction records themselves, simplified verification methods can be fooled by forged transaction records if an attacker maintains control of the network. One countermeasure is for client software to receive alerts from network nodes. When a network node discovers an invalid block, it issues an alert, displays a notification on the user's software, instructs the user to download the complete block, and warns the user to confirm transaction consistency. Merchants with high-frequency transactions should still prefer to run their own full nodes to ensure greater independent security and faster transaction confirmation. 9. Combining and Splitting Value While processing coins one by one is possible, keeping a separate record for each penny is cumbersome. To allow for the division and merging of value, transaction records contain multiple inputs and outputs. Typically, there is either a single input from a relatively large previous transaction, or a combination of many inputs from smaller amounts; meanwhile, there are at most two outputs: one is the payment (to the recipient), and if necessary, the other is the change (to the sender). It's worth noting that "fan-out" isn't the issue here—"fan-out" refers to a transaction that depends on several transactions, which in turn depend on even more transactions. There's never any need to extract a complete, independent historical copy of any single transaction. 10. Privacy Traditional banking models achieve a degree of privacy by restricting access to information about transacting parties and trusted third parties. This approach is rejected due to the need to make all transaction records public. However, maintaining privacy can be achieved by cutting off the flow of information elsewhere—public-key anonymity. The public can see that someone transferred a certain amount to someone else, but no information points to a specific individual. This level of information disclosure is somewhat like stock market transactions, where only the time and the amounts of each transaction are published, but no one knows who the transacting parties are. 11. Calculations Imagine an attacker attempting to generate an alternative chain that is faster than the honest chain. Even if he succeeds, it won't leave the current system in an ambiguous situation; he cannot create value out of thin air, nor can he acquire money that never belonged to him. Network nodes will not accept an invalid transaction as a payment, and honest nodes will never accept a block containing such a payment. At most, the attacker can only modify his own transactions, attempting to retrieve money he has already spent. The competition between the honest chain and the attacker can be described using a binomial random walk. A successful event is when a new block is added to the honest chain, increasing its advantage by 1; while a failed event is when a new block is added to the attacker's chain, decreasing the honest chain's advantage by 1. The probability that an attacker can catch up from a disadvantaged position is similar to the gambler's bankruptcy problem. Suppose a gambler with unlimited chips starts from a deficit and is allowed to gamble an unlimited number of times with the goal of making up the existing deficit. We can calculate the probability that he can eventually make up the deficit, which is the probability that the attacker can catch up with the honesty chain[8], as follows: Since we have already assumed that the number of blocks an attacker needs to catch up with is increasing, their probability of success decreases exponentially. When the odds are against them, if the attacker doesn't manage to make a lucky forward move at the beginning, their chances of winning will be wiped out as they fall further behind. Now consider how long a recipient of a new transaction needs to wait to be fully certain that the sender cannot alter the transaction. Let's assume the sender is an attacker attempting to mislead the recipient into believing they have paid the due, then transfer the money back to themselves. In this scenario, the recipient would naturally receive a warning, but the sender would prefer that by then the damage is done. The recipient generates a new public-private key pair and then informs the sender of the public key shortly before signing. This prevents a scenario where the sender prepares a block on a chain in advance through continuous computation and, with enough luck, gets ahead of the time until the transaction is executed. Once the funds have been sent, the dishonest sender secretly begins working on another parachain, attempting to insert a reverse version of the transaction. The recipient waits until the transaction is packaged into a block, and then another block is subsequently added. He doesn't know the attacker's progress, but can assume the average time for an honest block to be generated in each block generation process; the attacker's potential progress follows a Poisson distribution with an expected value of: To calculate the probability that the attacker can still catch up, we multiply the Passon density of each attacker's existing progress by the probability that he can catch up from that point: To avoid rearranging the data after summing the infinite series of the density distribution… Convert to C language program... From the partial results, we can see that the probability decreases exponentially as Z increases: If P is less than 0.1%... 12. Conclusion We propose an electronic transaction system that does not rely on trust. Starting with a simple coin framework using digital signatures, while providing robust ownership control, it cannot prevent double-spending. To address this, we propose a peer-to-peer network using a proof-of-work mechanism to record a public transaction history. As long as honest nodes control the majority of CPU power, attackers cannot successfully tamper with the system solely from a computational power perspective. The robustness of this network lies in its unstructured simplicity. Nodes can work simultaneously instantaneously with minimal coordination. They don't even need to be identified, as message paths do not depend on a specific destination; messages only need to be propagated with best-effort intent. Nodes are free to join and leave, and upon rejoining, they simply accept the proof-of-work chain as proof of everything that happened while they were offline. They vote with their CPU power, continuously adding new valid blocks to the chain and rejecting invalid ones, indicating their acceptance of valid transactions. Any necessary rules and rewards can be enforced through this consensus mechanism.
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PANews2025/10/31 17:05