Bob spread his spreadsheet diary over 5,000 computers, which were  all over the world. These computers are called nodes. Every time a transaction occurs it has to be approved by the nodes, each of whom checks its validity. Once every node has checked a transaction there is a sort of electronic vote, as some nodes may think the transaction is valid and others think it is a fraud.

The Bitcoin world, in my opinion offers such arbitrage opportunities. But they are not as simple to execute as it might seem at first sight. Price differences between exchanges often come for certain reasons. The speed of fiat money transfers and access restrictions are just the most striking ones. You have to find out the concrete opportunities yourself. One place to start is this thread on Bitcoin StackExchange. Also, not every opportunity is available to everyone. Go and have a look at the price differences between exchanges and check out if you can find opportunities.

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^ "Crib Sheet: Neptune's Brood – Charlie's Diary". Archived from the original on 14 June 2017. Retrieved 5 December 2017. I wrote Neptune's Brood in 2011. Bitcoin was obscure back then, and I figured had just enough name recognition to be a useful term for an interstellar currency: it'd clue people in that it was a networked digital currency.

The city of Zug in Switzerland uses a decentralized application (DAPP) for the verification of its citizens’ electronic identities. Another producer of DAPPs, for identity verification is Oraclize in Estonia. It markets a DAPP to solve the KYC (Know Your Customer) problem. This is of major importance in identity verification. The organization Thomson Reuters is creating another DAPP for identity verification using Ethereum.
Transactions are defined using a Forth-like scripting language.[3]:ch. 5 Transactions consist of one or more inputs and one or more outputs. When a user sends bitcoins, the user designates each address and the amount of bitcoin being sent to that address in an output. To prevent double spending, each input must refer to a previous unspent output in the blockchain.[69] The use of multiple inputs corresponds to the use of multiple coins in a cash transaction. Since transactions can have multiple outputs, users can send bitcoins to multiple recipients in one transaction. As in a cash transaction, the sum of inputs (coins used to pay) can exceed the intended sum of payments. In such a case, an additional output is used, returning the change back to the payer.[69] Any input satoshis not accounted for in the transaction outputs become the transaction fee.[69]
The price of bitcoins has gone through cycles of appreciation and depreciation referred to by some as bubbles and busts.[153] In 2011, the value of one bitcoin rapidly rose from about US$0.30 to US$32 before returning to US$2.[154] In the latter half of 2012 and during the 2012–13 Cypriot financial crisis, the bitcoin price began to rise,[155] reaching a high of US$266 on 10 April 2013, before crashing to around US$50.[156] On 29 November 2013, the cost of one bitcoin rose to a peak of US$1,242.[157] In 2014, the price fell sharply, and as of April remained depressed at little more than half 2013 prices. As of August 2014 it was under US$600.[158] During their time as bitcoin developers, Gavin Andresen[159] and Mike Hearn[160] warned that bubbles may occur.
Transactions are verified by network nodes through cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people using the name Satoshi Nakamoto[9] and released as open-source software in 2009.[10] Bitcoins are created as a reward for a process known as mining. They can be exchanged for other currencies,[11] products, and services. Research produced by the University of Cambridge estimates that in 2017, there were 2.9 to 5.8 million unique users using a cryptocurrency wallet, most of them using bitcoin.[12]