That constraint is what makes the problem more or less difficult. More leading zeroes means fewer possible solutions, and more time required to solve the problem. Every 2,016 blocks (roughly two weeks), that difficulty is reset. If it took miners less than 10 minutes on average to solve those 2,016 blocks, then the difficulty is automatically increased. If it took longer, then the difficulty is decreased.

To add a new block to the chain, a miner has to finish what’s called a cryptographic proof-of-work problem. Such problems are impossible to solve without applying a ton of brute computing force, so if you have a solution in hand, it’s proof that you’ve done a certain quantity of computational work. The computational problem is different for every block in the chain, and it involves a particular kind of algorithm called a hash function.
Bitcoin is a cryptocurrency and worldwide payment system. It is the first decentralized digital currency, as the system works without a central bank or single administrator. The network is peer-to-peer and transactions take place between users directly, without an intermediary. These transactions are verified by network nodes through the use of cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people under the name Satoshi Nakamoto and released as open-source software in 2009.
No one knows. Not conclusively, at any rate. Satoshi Nakamoto is the name associated with the person or group of people who released the original Bitcoin white paper in 2008 and worked on the original Bitcoin software that was released in 2009. The Bitcoin protocol requires users to enter a birthday upon signup, and we know that an individual named Satoshi Nakamoto registered and put down April 5 as a birth date. And that's about it.
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Although it is possible to handle bitcoins individually, it would be unwieldy to require a separate transaction for every bitcoin in a transaction. Transactions are therefore allowed to contain multiple inputs and outputs, allowing bitcoins to be split and combined. Common transactions will have either a single input from a larger previous transaction or multiple inputs combining smaller amounts, and one or two outputs: one for the payment, and one returning the change, if any, to the sender. Any difference between the total input and output amounts of a transaction goes to miners as a transaction fee.[2]

Price fluctuations, which have been common in Bitcoin since the day it was created eight years ago, saddle miners with risk and uncertainty. And that burden is shared by chip manufacturers, especially ones like Bitmain, which invest the time and money in a full custom design. According to Nishant Sharma, the international marketing manager at Bitmain, when the price of bitcoin was breaking records this spring, sales of S9 rigs doubled. But again, that is not a trend the company can afford to bet on.

Hot wallets refer to Bitcoin wallets used on internet connected devices like phones, computers, or tablets. Because hot wallets run on internet connected devices there is always a risk of theft. Think of hot wallets like your wallet today. You shouldn’t store any significant amount of bitcoins in a hot wallet, just as you would not walk around with your savings account as cash.
More broadly, the region is watching uneasily as one of its biggest natural resources—a gigantic surplus of hydroelectric power—is inhaled by a sector that barely existed five years ago and which is routinely derided as the next dot-com bust, or this century’s version of the Dutch tulip craze, or, as New York Times columnist Paul Krugman put it in January, a Ponzi scheme. Indeed, even as Miehe was demonstrating his prospecting chops, bitcoin’s price was already in a swoon that would touch $5,900 and rekindle widespread doubts about the future of virtual currencies.
Meanwhile, investors have been rattled this week by reports bank-owned currency trading utility CLS, along with enterprise software giant IBM, are teaming up to trial the blockchain-based Ledger Connect, an application that offers services from different vendors, with some nine financial institutions, including international heavyweights Barclays and Citigroup.
According to the European Central Bank, the decentralization of money offered by bitcoin has its theoretical roots in the Austrian school of economics, especially with Friedrich von Hayek in his book Denationalisation of Money: The Argument Refined,[120] in which he advocates a complete free market in the production, distribution and management of money to end the monopoly of central banks.[121]:22
Nigel Dodd argues in The Social Life of Bitcoin that the essence of the bitcoin ideology is to remove money from social, as well as governmental, control.[124] Dodd quotes a YouTube video, with Roger Ver, Jeff Berwick, Charlie Shrem, Andreas Antonopoulos, Gavin Wood, Trace Meyer and other proponents of bitcoin reading The Declaration of Bitcoin's Independence. The declaration includes a message of crypto-anarchism with the words: "Bitcoin is inherently anti-establishment, anti-system, and anti-state. Bitcoin undermines governments and disrupts institutions because bitcoin is fundamentally humanitarian."[124][123]

As more miners join, the rate of block creation increases. As the rate of block generation increases, the difficulty rises to compensate, which has a balancing of effect due to reducing the rate of block-creation. Any blocks released by malicious miners that do not meet the required difficulty target will simply be rejected by the other participants in the network.
In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key.[3]:ch. 5