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.[14]:4
For one, proof of work prevents miners from creating bitcoins out of thin air: they must burn real energy to earn them. And two, proof of work ossifies Bitcoin’s history. If an attacker were to try and change a transaction that happened in the past, that attacker would have to redo all of the work that has been done since to catch up and establish the longest chain. This is practically impossible and is why miners are said to “secure” the Bitcoin network.
Correction (Dec. 18, 2013): An earlier version of this article incorrectly stated that the long pink string of numbers and letters in the interactive at the top is the target output hash your computer is trying to find by running the mining script. In fact, it is one of the inputs that your computer feeds into the hash function, not the output it is looking for.
A Bitcoin wallet is also referred to as a digital Wallet. Establishing such a wallet is an important step in the process of obtaining Bitcoins. Just as Bitcoins are the digital equivalent of cash, a Bitcoin wallet is analogous to a physical wallet. But instead of storing Bitcoins literally, what is stored is a lot of relevant information like the secure private key used to access Bitcoin addresses and carry out transactions. The four main types of wallet are desktop, mobile, web and hardware.
This gives the pool members a more frequent, steady payout (this is called reducing your variance), but your payout(s) can be decreased by whatever fee the pool might charge. Solo mining will give you large, infrequent payouts and pooled mining will give you small, frequent payouts, but both add up to the same amount if you're using a zero fee pool in the long-term.
Bitcoin is a digital asset designed to work in peer-to-peer transactions as a currency.[5][128] Bitcoins have three qualities useful in a currency, according to The Economist in January 2015: they are "hard to earn, limited in supply and easy to verify".[129] However, as of 2015 bitcoin functions more as a payment processor than as a currency.[130][30]

All of which leaves the basin’s utilities caught between a skeptical public and a voracious, energy-intense new sector that, as Bolz puts it, is “looking at us in a predatory sense.” Indeed, every utility executive knows that to reject an application for a load, even one load so large as to require new transmission lines or out-of-area imports, is to invite a major legal fight. “If you can afford 100 megawatts,” Bolz says, “you can afford a lot of attorneys.”
The bitcoin blockchain is a public ledger that records bitcoin transactions.[64] It is implemented as a chain of blocks, each block containing a hash of the previous block up to the genesis block[a] of the chain. A network of communicating nodes running bitcoin software maintains the blockchain.[30]:215–219 Transactions of the form payer X sends Y bitcoins to payee Z are broadcast to this network using readily available software applications.