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It can be proven mathematically that all pairs of valid ISBN-10s differ in at least two digits. It can also be proven that there are no pairs of valid ISBN-10s with eight identical digits and two transposed digits (these proofs are true because the ISBN is less than eleven digits long and because 11 is a prime number). The ISBN check digit ...
The final digit of a Universal Product Code, International Article Number, Global Location Number or Global Trade Item Number is a check digit computed as follows:. Add the digits in the odd-numbered positions from the left (first, third, fifth, etc.—not including the check digit) together and multiply by three.
ISBNs come in two styles, containing 10 digits or 13 digits, and are known as "ISBN-10" and "ISBN-13" numbers. Please use the ISBN-13 if both are provided by the original work. The ISBN-13 is often found near the barcode and will start with either 978- or 979-. However, if an older work only lists an ISBN-10, use that in citations instead of ...
The International Article Number (also known as European Article Number or EAN) is a standard describing a barcode symbology and numbering system used in global trade to identify a specific retail product type, in a specific packaging configuration, from a specific manufacturer. The standard has been subsumed in the Global Trade Item Number ...
Citation Hunt: A tool for browsing snippets of Wikipedia articles that lack citations. Citer: Converts a URL, DOI, ISBN, PMID, PMCID, OCLC, or Google Books URL into a citation and shortened footnote. It also can generate citations for certain major news websites (e.g., The New York Times) and the Wayback Machine.
The check digit is computed as follows: If the number already contains the check digit, drop that digit to form the "payload". The check digit is most often the last digit. With the payload, start from the rightmost digit. Moving left, double the value of every second digit (including the rightmost digit). Sum the values of the resulting digits.
In 2007, the length of an ISBN changed from 10 to 13 digits, and a new 3-digit prefix (978 or 979) was added in front of 10-digit ISBNs. The following registration groups are compatible with or without a 978- prefix:
The short citations and full citations may be linked so that the reader can click on the short note to find full information about the source. See the template documentation for details and solutions to common problems. For variations with and without templates, see wikilinks to full references. For a set of realistic examples, see these.