Alice is far away from Bob and wants to buy his Alpaca socks. In return, she wants to send him a dollar. A dollar bill is a piece of paper which is very easy to create (by those who can), but which is accepted by people in exchange for valuable products and services in the real world, such as the socks Alice wants to buy. One simple thing Alice can do is to put a dollar bill in an envelope, mail it to Bob, and then wait for Bob to send the socks to her.
Another thing Alice can do is to "wire" the money to Bob. She can do that by first giving her dollar bills to an institution called a bank, the job of which is to safe-keep Alice's dollar bills and, in return, to give Alice a written promise (called a "bank statement") that, whenever she wishes, she can come to the bank to take back the same number of dollar bills that she deposited. Since the money is still Alice's, she is entitled to do with it whatever she pleases, and the bank (like most banks), for a small fee, will do Alice the service of "giving" the dollar bills to Bob instead of her. This could be done by sending a person to Bob's door, with Alice's dollar bills in hand (or, better, fresh new dollar bills, if Alice's dollar bills are in bad condition), but usually it is done by Alice's bank by giving the dollar bills to Bob's bank and informing them that the money is for Bob, who will then see the amount in his next statement, or, if he is in a hurry, the next time he contacts his bank asking about how much money they have for him.
Since banks have many customers, and bank employees require money for doing the job of talking to people and signing documents, banks in recent times have been using machines such as ATMs and web servers, that do the job of interacting with customers instead of paid bank employees. The job of these machines is to learn what each customer wants to do with his/her money and, to the extent that it's possible, act on what the customer wants (for example, ATMs can hand cash). In the end, there is very little human involvement in this process, most of the time. The people can always know how much money out of the money that the bank is safe-keeping is theirs, and they are confident that the numbers they see in their bank statements and on their computer screens stand for the number of dollar bills that they can get from the bank at any time they wish. They can be so sure of that, that they can accept those numbers in the same way they accept paper dollars (this is similar to the way people started accepting paper dollars as they accepted gold or silver).
However, the fact that machines are used does not change the structure of this system, which is, as it was, based on a central authority (the bank) which is responsible for keeping records about how much money belongs to whom. Everybody has to rely on this central authority to be honest (i.e. to say the truth about how much money they are safe-keeping in total, or at least to make the paper money available upon demand from the owners). Also, every person has to identify him/herself to this authority, by giving his/her real name, in order to be allowed to get their paper bills back or to send money to another person.
Bitcoin is a system of owning and voluntarily transferring amounts of so-called bitcoins, in a manner similar to an on-line banking interface, but anonymously and without reliance on a central authority to decide on what is true. These bitcoins are valuable because they require the spending of real resources (CPU time and electricity) to produce, cannot be spent more than once, and cannot be removed from a person's ownership without illicit access to his/her computer.
To guarantee that an eavesdropper, Eve, cannot access other people's bitcoins by creating transactions in their names we use a public key system to make digital signatures. In this system, each person, such as Alice and Bob, has a pair of public and private keys which he/she stores in a safe wallet. Only the user with his secret private key can sign a document, such as the transaction to give some of his bitcoins to somebody else, but any one can validate the signature using the user’s public key.
- Bob sends his public key to Alice.
- Alice adds Bob’s public key along with the amount she wants to transfer, to the transaction.
- Alice signs the transaction with her secret private key.
As a result, anyone who knows the public keys of both Alice and Bob can now see that Alice agreed to transfer the amount to Bob, because nobody other than Alice has Alice's private key. Alice would be foolish to give her private key to other people, as this would allow them to sign transactions in her name, removing funds from her balance.
Later on, when Bob will transfer the same coins to Charley, he will do the same thing: receive from Charley his public key, add a new transaction to the chain of transactions and sign it with his (Bob) private key. But only Bob can do this, because only Bob has the private key which is necessary for signing and which is the only private key to match Bob’s public key that is already in the chain.
Eve cannot change who the coins belong to by replacing Bob’s public key with her public key, because Alice signed the transfer to Bob using her private key, declaring that the coins which belonged to her now belong to Bob, and Alice's private key is kept secret from Eve. So if Charley accepts that the original coin was in the hands of Alice he will also accept the fact that this coin was later passed to Bob and now Bob is passing this same coin to him.
This is how we guarantee that Alice cannot replicate the coin and use it in more than one transaction (this is the main innovation behind Bitcoin):
- Details about the transaction are sent and forwarded to all or as many other computers as possible.
- A constantly growing chain of blocks that contains a record of all transactions is collectively maintained by all computers (each has a full copy).
- To be accepted in the chain, transaction blocks must be valid and must include proof of work (one block generated by the network every 10 minutes).
- Blocks are chained in a way so that, if any one is modified, all following blocks will have to be recomputed.
- When multiple valid continuations to this chain appear, only the longest such branch is accepted and it is then extended further.
When Bob sees that his transaction has been included in a block, which has been made part of the single longest and fastest-growing block chain (extended with significant computational effort), he can be confident that the transaction by Alice has been accepted by the computers in the network and will be permanently recorded, preventing Alice from creating a second transaction with the same coin.
In theory, Alice could attempt to generate spoofed blocks in which her past usage of the same coin does not appear and try to send these blocks to everyone as evidence that the coin is still hers. However, that past transaction, which contains a signature from Alice, has already been announced, has already been distributed to a very large number of computers in the bitcoin network and a block containing it has already been generated by someone (otherwise, the first receiver of the coin would have no confirmation). Since the process of generating a valid block is designed to take a long time, Alice will be unable to compete with all these computers in the rate at which she can generate blocks. Bob will receive many more blocks from third persons than Alice alone will ever be able to generate, and some of the newer blocks will contain Alice's previous transaction, telling Bob that Alice has already spent her coin. The only way for Alice to remove her transaction is to create a parallel chain which is longer than the one generated by everybody else and which doesn't contain her transaction, as only the longest chain is accepted. To remain the longest, it also has to grow faster than any other chain, so as to prevent any block generator from adding Alice's transaction to the chain. To do that, Alice has to be in a position to permanently command the majority of the CPU power on the network; something we assume no single person or organization can do. Therefore, as long as the people who control a majority of the CPUs are not cooperating with Alice, her transaction will be permanently recorded and she will be unable to create another transaction with the same coin.
Bitcoin "accounts" do not have people's names on them and do not have to correspond to individuals. Each balance is simply associated with a randomly generated public-private key pair and the money "belongs" to whoever has the private key and can sign transactions with it. The transactions that are signed using those keys also don't have to include names.
A Bitcoin address mathematically corresponds to a public key and looks like this:
Each person can have many such addresses, each with its own balance, and this can make it more difficult to identify which person owns what amount. In order to protect his privacy, Bob can even generate a new public-private key pair for each individual transaction. So David receiving the coin from Charley will not be able to identify who is the second person in the list of transactions (not without asking Charley).
Creation of coins
As we saw, both Bob and Charley need to verify that the original coin from Alice is valid. Alice cannot simply generate coins instantly, out of thin air, because the appearance of a coin is a transaction that needs to be accepted by others.
According to current software, the way that new coins are slowly introduced is this: every computer that manages to generate a block is allowed to put one transaction there in which it gains 50 BTC, without this amount having to come from somewhere. This amount is an incentive for people to perform the computation work required for block generation. However, it is currently agreed that the reward for generating a block will be reduced to half every 4 years. Meaning that, at some point in the year 2013, the majority of the CPUs will stop accepting blocks in which the generating transaction adds 50BTC to the sum of money, and they will only accept blocks adding half that amount. The same thing will happen in the years 2017, 2021, 2025 and so on, unless different Bitcoin client software has prevailed in the network.
Since this incentive will eventually diminish, another way for Alice to gain bitcoins when she generates blocks is to accept transaction fees. There is a voluntary transaction fee that can be paid in every transfer of bitcoins, the amount of which is chosen, and paid, by the person who sends the money. This amount is given to the person who generates the "proof-of-work" block in which the transaction appears, which is necessary for the transaction to be accepted. Since Alice is free to include in her block whichever set of transactions she wants, she can choose to include only the transactions with the highest transaction fees. If everybody acts that way, then eventually, and depending on the total number of transactions, a minimum transaction fee will be required for a transaction to appear in the chain of blocks.
Putting it all together
Directly experience the system in action by visiting Bitcoin Block Explorer. The site shows you the latest blocks in the block chain. The block chain contains the agreed history of all transactions that took place in the system. Note how many blocks were generated in the last hour, should be around 6. Also notice the number of transactions and the total amount transferred in the last hour (last time I checked it was about 64 and 15K.) This should give you an indication of how active the system is.
Next, drill into one of these blocks. Start by noticing that the block's hash begins with a run of zeros, this is what made making it so difficult. The computer that generated this block had to run on many Nonce values (also listed on the block's page) until it found one that generated this run of zeros. Next notice the line titled Previous block, each block contains the hash of the block that came before it, this is what forms the chain of blocks. Now notice all the transactions the block contains. The first transaction is the income earned by the computer that generated this block. It includes a fixed amount of coins created out of thin air and possibly fee collected from other transactions in the same block.
Drill into any of the transactions and you will see how it is made from one or more amounts coming in and out. The fact that there can be more than one incoming and outgoing amounts, allow the system to join and break amounts in any possible way allowing for any fractional amount needed (usually cents.) Each incoming amount is a transaction from the past (which you can also drill to) coming from an address of someone and each outgoing amount is addressed to someone and will be part of a future transaction (which you can also drill too if it also had already taken place.)
Finally you can drill into any of the addresses and see what public information is available.
To get an impression of the amount of activity on the Bitcoin network, you might like to visit the monitoring websites Bitcoin Watch and Bitcoin Monitor. The first has general statistics on the amount and size of transactions, while the latter shows a real-time visualization of events on the Bitcoin network.
So that all sounds good! How do I help? How to help Bitcoin