Cryptocurrency for Dummies: Bitcoin and Beyond

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In Part 1 we took a look at the incentives involved in Bitcoin mining and how they are used guarantee a single transaction history needed to prevent bitcoins from being double spent. In this post we will take more a technical look at the cryptography involved and how it is used to secure the network. As I said previously, Bitcoin is very accessible. Before moving forward we should take a moment to learn about hash functions since they are used all throughout the Bitcoin protocol.

To put it simply, a hash function is just a mathematical algorithm that takes an input and turns it into an output. For example, suppose we have an algorithm which just adds all the digits in the input string together. If our input is we would get an output of However, there are certain properties of really good hash functions that make them suitable to use in what is the bitcoin algorithm used for. Keep these properties in mind as they are vital to the operation of the Bitcoin protocol.

The output should be the same length regardless of whether the input has 10 characters or 10 thousand characters. A tiny change in the input should produce an entirely different output that in no way relates to the original input.

You might wonder how we can trust something that came from the NSA. The consensus is that they are secure. Now that we have the preliminaries out of the way we can start focusing in on the protocol. If you read Part 1 you will recall that all Bitcoin transactions are relayed to each of the peers in the network.

The first step in the process is to hash each transaction in the memory pool using SHA The raw transaction data may look something like this:. These hashes are then organized into something called a Merkle Tree or hash tree. The hashes of the transactions are organized into pairs of twos, concatenated together, then hashed again.

The same is done to each set of outputs until something like a tree is formed or an NCAA bracket. In the above example there are only four transactions tx stands for transaction. A real block will contain hundreds of transactions so the bracket tree will be much larger. The hash at the very top of the tree is called the Merkle Root. The block header will look something like this:. Now having done all this can we go ahead and relay the block to the rest of the network? If you recall the last post, the answer is no.

We still need to produce a valid proof of work. The output must be less than the specified number. Another way of saying this is that the hash of the block header must start with a what is the bitcoin algorithm used for number of zeros.

For example a valid hash may look like this: Any block whose header does not produce a hash that is less than the target value will be rejected by the network. The target value is adjusted by the protocol every two weeks to try to maintain an average block time of 10 minutes. This is where the nonce comes in. The nonce is simply a random number that is added to the block header for no other reason than to give us something to increment in an attempt to produce a valid hash.

If your first attempt at hashing the header produces an invalid hash, you just add one to the nonce and rehash the header then check to see if that hash is valid. This is Bitcoin mining in a nutshell. This is essentially what Bitcoin mining is, just rehashing the block header, over, and over, and over, and over, until one miner what is the bitcoin algorithm used for the network eventually produces a valid hash.

When he does, he relays the block to the rest of the network. If so, they add the block to their local copy of the block chain and move on to finding the next block. However, the more hashes that you can perform per second, the greater the what is the bitcoin algorithm used for that you will mine a block and earn the block reward.

CPU mining quickly gave way to GPU mining graphics processing units which proved much more efficient at calculating hash functions. Basically, these are purpose built computer chips that are designed to perform SHA calculations and do nothing else.

At present, the total hashing power in the network is about terrahashs per second and closing in on one petahash per second. Because each miner is sending these 25 bitcoins to his own address, the first transaction in each block will differ from miner to miner. Now remember the properties of a cryptographic hash function?

If an what is the bitcoin algorithm used for changes even in the slightest, the entire output changes. Since the hash of the coinbase transaction at the base of the hash tree is different for each miner, the entire hash tree including the What is the bitcoin algorithm used for root will be different for each miner.

That means the nonce that is needed to produce a valid block will also be different for each miner. This is the reason why the Merkle tree is employed after all. Any change to a single transaction will cause an avalanche up the hash tree that will ultimately cause the hash of the block to change.

If an attacker wants to alter or remove a transaction that is already in the block chain, the alteration will cause the hash of the transaction to change and spark off changes all the way up the hash tree to the Merkle Root. Given the probabilities, it is unlikely a header with the new Merkle Root will produce a valid hash the proof of work.

Hence, the attacker will need to rehash the entire block header and spend a ton of time finding the correct nonce. But suppose he does this, can he just relay his fraudulent block to the network and hope that miners will replace the old block with his new one or, more realistically, that new users will download his fraudulent block? The reason is because the hash of each block is included in the header of the next block. If the attacker rehashes block numberthis will cause the header of block to change, requiring that block to be rehashed as well.

A change to the hash of block will cause the header of block to change and so on all the way through the block chain. Any attempt to alter a transaction already what is the bitcoin algorithm used for the block chain requires not only the rehashing of the block containing the transaction, but all other subsequent blocks as well.

Depending on how deep in the chain the transaction is, it could take a single attacker weeks, months, or years, to rehash the rest of the block chain. The only exception to the above rule is if the attacker simply gets lucky. As we noted, it takes the entire network an average of 10 minutes to find a what is the bitcoin algorithm used for block. The deeper a transaction is in the block chain, however, the more times in row the attacker would need to get lucky and mine a block before the rest of the network to extend his chain longer than the main chain.

From a probability standpoint, the chances of such an attack succeeding decrease exponentially with each subsequent block. In the original white paper Satoshi Nakamoto calculated the probabilities that an attacker could get lucky and pull off a double spend.

In the following table q is the percentage of the network controlled by the attacker, P is the probability an attacker could get lucky and override z number of blocks. Which is usually why it is recommended that if you are selling something expensive, you should wait until your transaction is six blocks deep six confirmations in Bitcoin lingo before actually handing over the merchandise. This post got long in a hurry. Hope you enjoyed these posts and I hope you learned something.

I found your post comments while searching Google. It is very relevant information. Regularly I do not make posts on blogs, but I have to say that this posting really forced me to do so.

Really fantastic and I will be coming back for more information at your site and revisit it! I still have one question though: Smart Contracts Great Wall of Numbers. Part 2 — Mechanics … Bitcoin. For the hash chaining, does it mean if somebody get one valid hash, I need to update and download it and re-calculate based on his block? Or can I make a new branch based on previous block?

Bitcoin Online resources collected The Bitcoin Journey How Cryptocurrencies Work Bitcoin Getter. Bitcoin has seen rapid increases during the last year and there are now those who are claiming that the bubble is soon to burst and Bitcoin crumble.

Those of us continue believe in the idea of a user owned system away from the reach of the banks. We do not believe that the currency is finished. We shall be staying with Bitcoin what is the bitcoin algorithm used for I am quite confident that it will continue to rise more rapidly than before.

Bitcoin Frenzy — Is it the next gold or just a bubble? How Cryptocurrencies Work - Cryptocurrency How Cryptocurrencies Work — Bitcoin Support. Thanks for a great article. How then does the miner broadcast that to the rest of the network to get consensus on the work if his nonce is unique from what another miner would have theoretically found? Cryptocurrency trading is becoming a profession — The Glimpse.

How Cryptocurrencies Work — Bitcoin Supports. You are commenting using your WordPress. You are commenting using your Twitter account. You are commenting using your Facebook account. Notify me of new comments via email. Notify me of new posts via email. Cryptographic Hash Functions Before moving forward we should take a moment to learn about hash functions since they are used all throughout the What is the bitcoin algorithm used for protocol. It should be very easy to compute an output for any given input, however it should be impossible given current knowledge of mathematics and the state of computers to compute the input for a given output even while knowing the mathematical algorithm.

In this case there are many possible inputs that could add up to 10 55, etc. However, given the simplicity of our function one could still figure out the input relatively easily.

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The bitcoin network is a peer-to-peer payment network that operates on a cryptographic protocol. Users send and receive bitcoins , the units of currency, by broadcasting digitally signed messages to the network using bitcoin cryptocurrency wallet software. Transactions are recorded into a distributed, replicated public database known as the blockchain , with consensus achieved by a proof-of-work system called mining.

Satoshi Nakamoto , the designer of bitcoin claimed that design and coding of bitcoin begun in The network requires minimal structure to share transactions. An ad hoc decentralized network of volunteers is sufficient. Messages are broadcast on a best effort basis, and nodes can leave and rejoin the network at will.

Upon reconnection, a node downloads and verifies new blocks from other nodes to complete its local copy of the blockchain. A bitcoin is defined by a sequence of digitally signed transactions that began with the bitcoin's creation, as a block reward. The owner of a bitcoin transfers it by digitally signing it over to the next owner using a bitcoin transaction, much like endorsing a traditional bank check.

A payee can examine each previous transaction to verify the chain of ownership. Unlike traditional check endorsements, bitcoin transactions are irreversible, which eliminates risk of chargeback fraud.

Although it is possible to handle bitcoins individually, it would be unwieldy to require a separate transaction for every bitcoin in a transaction. Common transactions will have either a single input from a larger previous transaction or multiple inputs combining smaller amounts, and one or two outputs: Any difference between the total input and output amounts of a transaction goes to miners as a transaction fee. To form a distributed timestamp server as a peer-to-peer network, bitcoin uses a proof-of-work system.

The signature is discovered rather than provided by knowledge. Requiring a proof of work to provide the signature for the blockchain was Satoshi Nakamoto's key innovation. While the average work required increases in inverse proportion to the difficulty target, a hash can always be verified by executing a single round of double SHA For the bitcoin timestamp network, a valid proof of work is found by incrementing a nonce until a value is found that gives the block's hash the required number of leading zero bits.

Once the hashing has produced a valid result, the block cannot be changed without redoing the work. As later blocks are chained after it, the work to change the block would include redoing the work for each subsequent block. Majority consensus in bitcoin is represented by the longest chain, which required the greatest amount of effort to produce.

If a majority of computing power is controlled by honest nodes, the honest chain will grow fastest and outpace any competing chains. To modify a past block, an attacker would have to redo the proof-of-work of that block and all blocks after it and then surpass the work of the honest nodes. The probability of a slower attacker catching up diminishes exponentially as subsequent blocks are added. To compensate for increasing hardware speed and varying interest in running nodes over time, the difficulty of finding a valid hash is adjusted roughly every two weeks.

If blocks are generated too quickly, the difficulty increases and more hashes are required to make a block and to generate new bitcoins. Bitcoin mining is a competitive endeavor.

An " arms race " has been observed through the various hashing technologies that have been used to mine bitcoins: Computing power is often bundled together or "pooled" to reduce variance in miner income.

Individual mining rigs often have to wait for long periods to confirm a block of transactions and receive payment. In a pool, all participating miners get paid every time a participating server solves a block.

This payment depends on the amount of work an individual miner contributed to help find that block. Bitcoin data centers prefer to keep a low profile, are dispersed around the world and tend to cluster around the availability of cheap electricity. In , Mark Gimein estimated electricity consumption to be about To lower the costs, bitcoin miners have set up in places like Iceland where geothermal energy is cheap and cooling Arctic air is free. A rough overview of the process to mine bitcoins is: By convention, the first transaction in a block is a special transaction that produces new bitcoins owned by the creator of the block.

This is the incentive for nodes to support the network. The reward for mining halves every , blocks. It started at 50 bitcoin, dropped to 25 in late and to Various potential attacks on the bitcoin network and its use as a payment system, real or theoretical, have been considered.

The bitcoin protocol includes several features that protect it against some of those attacks, such as unauthorized spending, double spending, forging bitcoins, and tampering with the blockchain. Other attacks, such as theft of private keys, require due care by users. Unauthorized spending is mitigated by bitcoin's implementation of public-private key cryptography. For example; when Alice sends a bitcoin to Bob, Bob becomes the new owner of the bitcoin. Eve observing the transaction might want to spend the bitcoin Bob just received, but she cannot sign the transaction without the knowledge of Bob's private key.

A specific problem that an internet payment system must solve is double-spending , whereby a user pays the same coin to two or more different recipients. An example of such a problem would be if Eve sent a bitcoin to Alice and later sent the same bitcoin to Bob.

The bitcoin network guards against double-spending by recording all bitcoin transfers in a ledger the blockchain that is visible to all users, and ensuring for all transferred bitcoins that they haven't been previously spent.

If Eve offers to pay Alice a bitcoin in exchange for goods and signs a corresponding transaction, it is still possible that she also creates a different transaction at the same time sending the same bitcoin to Bob. By the rules, the network accepts only one of the transactions. This is called a race attack , since there is a race which transaction will be accepted first. Alice can reduce the risk of race attack stipulating that she will not deliver the goods until Eve's payment to Alice appears in the blockchain.

A variant race attack which has been called a Finney attack by reference to Hal Finney requires the participation of a miner. Instead of sending both payment requests to pay Bob and Alice with the same coins to the network, Eve issues only Alice's payment request to the network, while the accomplice tries to mine a block that includes the payment to Bob instead of Alice. There is a positive probability that the rogue miner will succeed before the network, in which case the payment to Alice will be rejected.

As with the plain race attack, Alice can reduce the risk of a Finney attack by waiting for the payment to be included in the blockchain.

Each block that is added to the blockchain, starting with the block containing a given transaction, is called a confirmation of that transaction. Ideally, merchants and services that receive payment in bitcoin should wait for at least one confirmation to be distributed over the network, before assuming that the payment was done.

Deanonymisation is a strategy in data mining in which anonymous data is cross-referenced with other sources of data to re-identify the anonymous data source. Along with transaction graph analysis, which may reveal connections between bitcoin addresses pseudonyms , [20] [25] there is a possible attack [26] which links a user's pseudonym to its IP address.

If the peer is using Tor , the attack includes a method to separate the peer from the Tor network, forcing them to use their real IP address for any further transactions. The attack makes use of bitcoin mechanisms of relaying peer addresses and anti- DoS protection. Each miner can choose which transactions are included in or exempted from a block.

Upon receiving a new transaction a node must validate it: To carry out that check the node needs to access the blockchain. Any user who does not trust his network neighbors, should keep a full local copy of the blockchain, so that any input can be verified. As noted in Nakamoto's whitepaper, it is possible to verify bitcoin payments without running a full network node simplified payment verification, SPV. A user only needs a copy of the block headers of the longest chain, which are available by querying network nodes until it is apparent that the longest chain has been obtained.

Then, get the Merkle branch linking the transaction to its block. Linking the transaction to a place in the chain demonstrates that a network node has accepted it, and blocks added after it further establish the confirmation. While it is possible to store any digital file in the blockchain, the larger the transaction size, the larger any associated fees become.

The use of bitcoin by criminals has attracted the attention of financial regulators, legislative bodies, law enforcement, and the media. Senate held a hearing on virtual currencies in November Several news outlets have asserted that the popularity of bitcoins hinges on the ability to use them to purchase illegal goods.

A CMU researcher estimated that in , 4. Due to the anonymous nature and the lack of central control on these markets, it is hard to know whether the services are real or just trying to take the bitcoins.

Several deep web black markets have been shut by authorities. In October Silk Road was shut down by U.

Some black market sites may seek to steal bitcoins from customers. The bitcoin community branded one site, Sheep Marketplace, as a scam when it prevented withdrawals and shut down after an alleged bitcoins theft. According to the Internet Watch Foundation , a UK-based charity, bitcoin is used to purchase child pornography, and almost such websites accept it as payment. Bitcoin isn't the sole way to purchase child pornography online, as Troels Oertling, head of the cybercrime unit at Europol , states, "Ukash and Paysafecard Bitcoins may not be ideal for money laundering, because all transactions are public.

In early , an operator of a U. Securities and Exchange Commission charged the company and its founder in "with defrauding investors in a Ponzi scheme involving bitcoin".

From Wikipedia, the free encyclopedia. For a broader coverage related to this topic, see Bitcoin. Information technology portal Cryptography portal. Archived from the original on 3 November Retrieved 2 November Retrieved 30 January Retrieved 20 December Financial Cryptography and Data Security. Retrieved 21 August Retrieved 3 October Retrieved 9 January