Nobody owns the Bitcoin network much like no one owns the technology behind email or the Internet. Bitcoin transactions are verified by Bitcoin miners which has an entire industry and Bitcoin cloud mining options. While developers are improving the software they cannot force a change in the Bitcoin protocol because all users are free to choose what software and version they use.
How do they find this number? By guessing at random. The hash function makes it impossible to predict what the output will be. So, miners guess the mystery number and apply the hash function to the combination of that guessed number and the data in the block. The resulting hash has to start with a pre-established number of zeroes. There's no way of knowing which number will work, because two consecutive integers will give wildly varying results. What's more, there may be several nonces that produce the desired result, or there may be none (in which case the miners keep trying, but with a different block configuration).
If you've made it this far, then congratulations! There is still so much more to explain about the system, but at least now you have an idea of the broad outline of the genius of the programming and the concept. For the first time we have a system that allows for convenient digital transfers in a decentralized, trust-free and tamper-proof way. The repercussions could be huge.
The difficulty is a number that regulates how long it takes for miners to add new blocks of transactions to the blockchain. Because the target is such an unwieldy number with tons of digits, people generally use a simpler number to express the current target. This number is called the mining difficulty.  This difficulty value updates every 2 weeks to ensure that it takes 10 minutes (on average) to add a new block to the blockchain. The difficulty is so important because, it ensures that blocks of transactions are added to the blockchain at regular intervals, even as more miners join the network. If the difficulty remained the same, it would take less time between adding new blocks to the blockchain as new miners join the network. The difficulty adjusts every 2016 blocks. At this interval, each node takes the expected time for these 2016 blocks to be mined (2016 x 10 minutes), and divides it by the actual time it took. It can be calculated as follows:
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^ Jump up to: a b c d Joshua A. Kroll; Ian C. Davey; Edward W. Felten (11–12 June 2013). "The Economics of Bitcoin Mining, or Bitcoin in the Presence of Adversaries" (PDF). The Twelfth Workshop on the Economics of Information Security (WEIS 2013). Archived (PDF) from the original on 9 May 2016. Retrieved 26 April 2016. A transaction fee is like a tip or gratuity left for the miner.

In March 2013 the blockchain temporarily split into two independent chains with different rules. The two blockchains operated simultaneously for six hours, each with its own version of the transaction history. Normal operation was restored when the majority of the network downgraded to version 0.7 of the bitcoin software.[36] The Mt. Gox exchange briefly halted bitcoin deposits and the price dropped by 23% to $37[37][38] before recovering to previous level of approximately $48 in the following hours.[39] The US Financial Crimes Enforcement Network (FinCEN) established regulatory guidelines for "decentralized virtual currencies" such as bitcoin, classifying American bitcoin miners who sell their generated bitcoins as Money Service Businesses (MSBs), that are subject to registration or other legal obligations.[40][41][42] In April, exchanges BitInstant and Mt. Gox experienced processing delays due to insufficient capacity[43] resulting in the bitcoin price dropping from $266 to $76 before returning to $160 within six hours.[44] The bitcoin price rose to $259 on 10 April, but then crashed by 83% to $45 over the next three days.[34] On 15 May 2013, US authorities seized accounts associated with Mt. Gox after discovering it had not registered as a money transmitter with FinCEN in the US.[45][46] On 23 June 2013, the US Drug Enforcement Administration (DEA) listed 11.02 bitcoins as a seized asset in a United States Department of Justice seizure notice pursuant to 21 U.S.C. § 881.[47] This marked the first time a government agency had seized bitcoin.[48][49] The FBI seized about 26,000 bitcoins in October 2013 from the dark web website Silk Road during the arrest of Ross William Ulbricht.[50][51][52] Bitcoin's price rose to $755 on 19 November and crashed by 50% to $378 the same day. On 30 November 2013 the price reached $1,163 before starting a long-term crash, declining by 87% to $152 in January 2015.[34] On 5 December 2013, the People's Bank of China prohibited Chinese financial institutions from using bitcoins.[53] After the announcement, the value of bitcoins dropped,[54] and Baidu no longer accepted bitcoins for certain services.[55] Buying real-world goods with any virtual currency had been illegal in China since at least 2009.[56]
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