Bitcoin wallets & addresses
Specifically, a bitcoin address is a cryptographic public key–– human-readable strings of numbers and letters around 33 characters in length, beginning with the digit 1 or 3, as in the example of 175tWpb8K1S7NmH4Zx6rewF9WQrcZv245W. The matching private key is often stored in a digital wallet or mobile device and protected by a password or other means of authentication. Each bitcoin transaction is signed by the private key of the user initiating the transaction.
Various vendors offer banknotes and coins denominated in bitcoins; what is sold is really a bitcoin private key as part of the coin or banknote. Usually, a seal has to be broken to access the key, while the receiving address remains visible on the outside so that the balance can be verified.
Payment network & mining
A bitcoin is defined by a chain of digitally-signed transactions that began with its creation as a block reward through bitcoin mining. Each owner transfers bitcoins to the next by digitally signing them over to the next owner in a Bitcoin transaction. A payee can then verify each previous transaction to verify the chain of ownership.
The network timestamps transactions by including them in blocks that form an ongoing chain called the blockchain. Such blocks cannot be changed without redoing the work that was required to create each block since the modified block. The longest chain serves not only as proof of the sequence of events but also records that this sequence of events was verified by a majority of the Bitcoin network's computing power. As long as a majority of computing power is controlled by nodes that are not cooperating to attack the network, they will generate the longest chain of records and outpace attackers.
The network itself requires minimal structure to share transactions. Messages are broadcast on a best effort basis, and nodes can leave and rejoin the network at will. Upon reconnection, a node will download and verify new blocks from other nodes to complete its local copy of the blockchain.
Source : Wikipedia
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