An ISBN-13, 978-3-16-148410-0, represented as an EAN-13 barcode

The International Standard Book Number (ISBN) is a unique, numerical [1] commercial book identifier. A European Article Number ( EAN) is a barcoding standard which is a Superset of the original 12-digit Universal Product Code (UPC system Commerce is a division of trade or production which deals with the exchange of goods and services from producer to final consumer A Book is a set or collection of written printed illustrated or blank sheets made of Paper, Parchment, or other material usually fastened together In Computer science, Identifiers ( IDs) are lexical tokens that name entities. Based upon the 9-digit Standard Book Numbering (SBN) code, the ISBN was created in the UK by the booksellers and stationers W.H. Smith and others in 1966. In Communications a code is a rule for converting a piece of Information (for example a letter, Word, Phrase, or This article is about the retail chain for people of that name see William Henry Smith. [2] The 10-digit International Standard Book Number (ISBN) format was developed by the International Organization for Standardization and published as an international standard, ISO 2108, in 1970; (however, the 9-digit SBN code was used in the UK until 1974). Currently, the ISO TC 46/SC 9 is responsible for the standard. ISO TC 46/SC 9 is the ninth subcommittee of ISO technical committee 46 and is responsible for identification and description of information resources

Since 1 January 2007, International Standard Book Numbers are of 13 digits, compatible with Bookland EAN-13s. Bookland is an imaginary place created in the 1980s in order to reserve an EAN Country Code for books regardless of country of origin so that the EAN space can catalog books A European Article Number ( EAN) is a barcoding standard which is a Superset of the original 12-digit Universal Product Code (UPC system [3] The like numeric identifier, the International Standard Serial Number (ISSN), identifies periodical publications such as magazines. An International Standard Serial Number ( ISSN) is a unique eight-digit number used to identify a print or electronic Periodical publication. Magazines, periodicals or serials are Publications generally published on a regular schedule containing a variety of articles, generally

## Overview

An ISBN is assigned to each edition and variation (except reprintings) of a book. The ISBN is 13 digits long if assigned after January 1, 2007, and 10 digits long if assigned before 2007. New Year See also New Year The Ancient Romans began their consular year on January 1st since 153 BC Year 2007 ( MMVII) was a Common year starting on Monday of the Gregorian calendar in the 21st century. An International Standard Book Number consists of 4 or 5 parts:

The parts of a 10-digit ISBN and the corresponding EAN-13 and barcode. Note the different check digits in each. The part of the EAN-13 labeled "EAN" is the Bookland country code
1. for a 13 digit ISBN, a GS1 prefix: 978 or 979
2. the group identifier, (language-sharing country group) [4]
3. the publisher code,
4. the item number, and
5. a checksum character or check digit. GS1 is a global organization dedicated to the design and implementation of global Standards and solutions to improve the efficiency and visibility of supply and demand A checksum is a form of Redundancy check, a simple way to protect the integrity of data by detecting errors in data that are sent through space ( Telecommunications A check digit is a form of Redundancy check used for Error detection, the decimal equivalent of a binary Checksum.

The ISBN parts may be of different lengths, and usually are separated with hyphens or spaces. A hyphen ( -) is a Punctuation mark It is used for both Words to join and to separate Syllables It is often confused with the dashes [5]

The group identifier is a 1 to 5 digit number. The single digit group identifiers are: 0 or 1 for English-speaking countries; 2 for French-speaking countries; 3 for German-speaking countries; 4 for Japanese; 5 for Russian, and 7 for Chinese. English is a West Germanic language originating in England and is the First language for most people in the United Kingdom, the United States French ( français,) is a Romance language spoken around the world by 118 million people as a native language and by about 180 to 260 million people The German language (de ''Deutsch'') is a West Germanic language and one of the world's major languages. is a language spoken by over 130 million people in Japan and in Japanese emigrant communities Russian ( transliteration:,) is the most geographically widespread language of Eurasia, the most widely spoken of the Slavic languages An example 5 digit group identifier is 99936, for Bhutan. The Kingdom of Bhutan (buːˈtɑːn is a Landlocked nation in South Asia. [6] The original standard book number (SBN) had no group identifier, but affixing a zero (0) as prefix to a 9-digit SBN creates a valid 10-digit ISBN. Group identifiers form a prefix code; compare with country calling codes. A prefix code is a Code, typically a Variable-length code, with the "prefix property" no Code word is a prefix of any other code word This is a list of country calling codes defined by ITU-T recommendation E

The national ISBN agency assigns the publisher number (cf. the category:ISBN agencies); the publisher selects the item number. Generally, a book publisher is not required to assign an ISBN, nor for a book to display its number (except in China; see below), however, most book stores only handle ISBN-bearing merchandise. China ( Wade-Giles ( Mandarin) Chung¹kuo² is a cultural region, an ancient Civilization, and depending on perspective a National

A listing of all the 628,000 assigned publisher codes is published, and can be ordered in book form[7], but, as of 2007, it costs US\$300. The web site of the international ISBN agency does not offer any free method of looking up publisher codes.

Publishers receive blocks of ISBNs, with larger blocks allotted to publishers expecting to need them; a small publisher may receive ISBNs of one or more digits for the group identifier code, several digits for the publisher, and a single digit for the individual items. Once that block of ISBNs is used, the publisher may receive another block of ISBNs, with a different publisher number. Consequently, a publisher may have different allotted publisher numbers. There also may be more than one group identifier used in a country. This might occur if a popular identifier has used up all of its numbers. The cited list of identifiers shows this has happened in China and in more than a dozen other countries.

By using variable block lengths, a large publisher will have few digits allocated for the publisher number and many digits allocated for titles; likewise countries publishing much will have few allocated digits for the group identifier, and many for the publishers and titles. Here are some sample ISBN-10 codes, illustrating block length variations.

ISBNCountry or areaPublisherISBNCountry or areaPublisher
99921-58-10-7QatarNCCAH, Doha0-684-84328-5English-speaking areaScribner
9971-5-0210-0SingaporeWorld Scientific0-8044-2957-XEnglish-speaking areaFrederick Ungar
960-425-059-0GreeceSigma Publications0-85131-041-9English-speaking areaJ. A. Allen & Co.
80-902734-1-6Czech Republic; SlovakiaTaita Publishers0-943396-04-2English-speaking areaWillmann–Bell
1-84356-028-3United KingdomSimon Wallenberg Press0-9752298-0-XEnglish-speaking areaKT Publishing

## Check digit in ISBN-10

The 2001 edition of the official manual of the International ISBN Agency says that the ISBN-10 check digit [8] — which is the last digit of the ten-digit ISBN — must range from 0 to 10 (the symbol X is used instead of 10) and must be such that the sum of all the ten digits, each multiplied by the integer weight, descending from 10 to 1, is a multiple of the number 11. A check digit is a form of Redundancy check used for Error detection, the decimal equivalent of a binary Checksum. Modular arithmetic is convenient for calculating the check digit using modulus 11. In Mathematics, modular arithmetic (sometimes called modulo arithmetic, or clock arithmetic) is a system of Arithmetic for Integers Each of the first nine digits of the ten-digit ISBN — excluding the check digit, itself — is multiplied by a number in a sequence from 10 to 2, and the remainder of the sum, with respect to 11, is computed. The resulting remainder, plus the check digit, must equal 11; therefore, the check digit is 11 minus the remainder of the sum of the products.

For example, the check digit for an ISBN-10 of 0-306-40615-? is calculated as follows:

s = 0×10 + 3×9 + 0×8 + 6×7 + 4×6 + 0×5 + 6×4 + 1×3 + 5×2  =    0 +  27 +   0 +  42 +  24 +   0 +  24 +   3 +  10  = 130130 / 11 = 11 remainder 911 - 9 = 2

Thus, the check digit is 2, and the complete sequence is ISBN 0-306-40615-2.

Formally, the check digit calculation is:

$x_{10} \equiv 11 - (10x_1 + 9x_2 + 8x_3 + 7x_4 + 6x_5 + 5x_6 + 4x_7 + 3x_8 + 2x_9) \, (\bmod 11)$

If the result is 11, a '0' should be substituted; if 10, an 'X' should be used.

The two most common errors in handling an ISBN (e. g. , typing or writing it) are an altered digit or the transposition of adjacent digits. Since 11 is a prime number, the ISBN check digit method ensures that these two errors will always be detected. In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 However, if the error occurs in the publishing house and goes undetected, the book will be issued with an invalid ISBN. [9]

### Alternative calculation

The ISBN-10 check-digit can also be calculated in a slightly easier way:

$x_{10} = (1x_1 + 2x_2 + 3x_3 + 4x_4 + 5x_5 + 6x_6 + 7x_7 +8x_8 + 9x_9) \, \bmod 11$

This gives exactly the same result as the formula above.

$x_{10} = \sum_{i=1}^9 ix_i \, \bmod 11$.

This finds the check digit for a 10 digit ISBN, using summation notation.

## Check digit in ISBN-13

The 2005 edition of the International ISBN Agency's official manual[10] covering some ISBNs issued from January 2007, describes how the 13-digit ISBN check digit is calculated. A check digit is a form of Redundancy check used for Error detection, the decimal equivalent of a binary Checksum.

The calculation of an ISBN-13 check digit begins with the first 12 digits of the thirteen-digit ISBN (thus excluding the check digit itself). Each digit, from left to right, is alternately multiplied by 1 or 3, then those products are summed modulo 10 to give a value ranging from 0 to 9. In Mathematics, modular arithmetic (sometimes called modulo arithmetic, or clock arithmetic) is a system of Arithmetic for Integers Subtracted from 10, that leaves a result from 1 to 10. A zero (0) replaces a ten (10), so, in all cases, a single check digit results.

For example, the ISBN-13 check digit of 978-0-306-40615-? is calculated as follows:

s = 9×1 + 7×3 + 8×1 + 0×3 + 3×1 + 0×3 + 6×1 + 4×3 + 0×1 + 6×3 + 1×1 + 5×3  =   9 +  21 +   8 +   0 +   3 +   0 +   6 +  12 +   0 +  18 +   1 +  15  = 9393 / 10 = 9 remainder 310 – 3 = 7

Thus, the check digit is 7, and the complete sequence is ISBN 978-0-306-40615-7.

Formally, the ISBN-13 check digit calculation is:

$x_{13} = \left[10- \big({[x_1 + 3x_2 + x_3 + 3x_4 + \cdots + x_{11} + 3x_{12}] \bmod 10}\big)\right]$

This check system — similar to the UPC check digit formula — does not catch all errors of adjacent digit transposition. The Universal Product Code ( UPC) is a barcode symbology (ie a specific type of Barcode) that is widely used in the United States and Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance, the above example allows this situation with the 6 followed by a 1. The correct order contributes 3×6+1×1 = 19 to the sum; while, if the digits are transposed (1 followed by a 6), the contribution of those two digits will be 3×1+1×6 = 9. However, 19 and 9 are congruent modulo 10, and so produce the same, final result: both ISBNs will have a check digit of 7. The ISBN-10 formula uses the prime modulus 11 which avoids this blind spot, but requires more than the digits 0-9 to express the check digit. In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1

## EAN format used in barcodes, and upgrading

Currently, the barcodes on a book's back cover (or inside a mass-market paperback book's front cover) are EAN-13; they may have a separate barcode encoding five digits for the currency and the recommended retail price. A bar code (also barcode) is an optical Machine-readable representation of data A European Article Number ( EAN) is a barcoding standard which is a Superset of the original 12-digit Universal Product Code (UPC system A currency is a unit of exchange, facilitating the transfer of Goods and/or services It is one form of Money, where money is [11] The number "978", the Bookland "country code", is prepended to the ISBN in the barcode data, and the check digit is recalculated according to the EAN13 formula (modulo 10, 1x, and 3x weighting on alternate digits). Bookland is an imaginary place created in the 1980s in order to reserve an EAN Country Code for books regardless of country of origin so that the EAN space can catalog books

Partly because of a pending shortage in certain ISBN categories, the International Organization for Standardization (ISO) migrated to a thirteen-digit ISBN (ISBN-13); the process began January 1, 2005 and was to conclude January 1, 2007. New Year See also New Year The Ancient Romans began their consular year on January 1st since 153 BC Year 2005 ( MMV) was a Common year starting on Saturday (link displays full calendar of the Gregorian calendar. New Year See also New Year The Ancient Romans began their consular year on January 1st since 153 BC Year 2007 ( MMVII) was a Common year starting on Monday of the Gregorian calendar in the 21st century. [12] Thirteen-digit ISBNs are prefixed with "978" (and the check digit recalculated); as the "978" ISBN supply is exhausted, the "979" prefix will be introduced. This is expected to occur more rapidly outside the United States; originally, "979" was the "Musicland" code for musical scores with an ISMN, however, ISMN codes will differ visually as they begin with an "M" letter; the bar code represents the "M" as a zero (0), and for checksum purposes it will count as a 3. The United States of America —commonly referred to as the Sheet music is a hand-written or printed form of Musical notation; like its analogs -- books pamphlets etc The International Standard Music Number or ISMN ( ISO 10957) is a ten-character alphanumeric Identifier for Printed music developed by ISO

Publisher identification code numbers are unlikely to be the same in the "978" and "979" ISBNs, like-wise, there is no guarantee that language area code numbers will be the same. Moreover, the ten-digit ISBN check digit generally is not the same as the thirteen-digit ISBN check digit. Because the EAN/UCC-13 is part of the Global Trade Item Number (GTIN) system (that includes the EAN/UCC-14, the UPC-12, and the EAN-8), it is expected that ISBN-generating software should accommodate fourteen-digit ISBNs. Global Trade Item Number (GTIN is an identifier for Trade items developed by GS1 (comprising the former EAN International and Uniform Code Council [13]

Barcode format compatibility is maintained, because (aside from the group breaks) the ISBN-13 barcode format is identical to the EAN barcode format of existing ISBN-10s. So, migration to an EAN-based system allows booksellers the use of a single numbering system for both books and non-book products that is compatible with existing ISBN-based data, with only minimal changes to information technology systems. Information technology ( IT) as defined by the Information Technology Association of America (ITAA is "the study design development implementation support Hence, many booksellers (e. g. Barnes & Noble) migrated to EAN barcodes as early as March 2005. Barnes & Noble Inc is the largest book retailer in the United States, operating mainly through its Barnes & Noble Booksellers chain of Bookstores Although many American and Canadian booksellers have been able to read EAN-13 barcodes before 2005, most general retailers could not read them. The upgrading of the UPC barcode system to full EAN-13, in 2005, eased migration to the ISBN-13 in North America. The Universal Product Code ( UPC) is a barcode symbology (ie a specific type of Barcode) that is widely used in the United States and Moreover, by January of 2007, most large book publishers added ISBN-13 barcodes alongside the ten-digit ISBN barcodes of books published before January of 2007.

## Use of the ISBN check digit

Publishers and libraries have varied policies about the use of the ISBN check digit. A library is a collection of information sources resources and services and the structure in which it is housed it is organized for use and maintained by a public body an institution Publishers sometimes fail to check the correspondence of a book title and its ISBN before publishing it; that failure causes book identification problems for libraries, booksellers, and readers.

Most libraries and booksellers display the book record for an invalid ISBN issued by the publisher. The Library of Congress catalogue contains books published with invalid ISBNs, which it usually tags with the phrase "Cancelled ISBN". The Library of Congress is the De facto National library of the United States and the research arm of the United States Congress However, book-ordering systems such as Amazon. com will not search for a book if an invalid ISBN is entered to its search engine.

• ASIN (Amazon Standard Identification Number)
• CODEN (serial publication identifier currently used by libraries; replaced by the ISSN for new works)
• DOI (Digital Object Identifier)
• ISAN (International Standard Audiovisual Number)
• ISMN (International Standard Music Number)
• ISRC (International Standard Recording Code)
• ISSN (International Standard Serial Number)
• ISWC (International Standard Musical Work Code)
• LCCN (Library of Congress Control Number)
• OCLC (Online Computer Library Center)
• SICI (Serial Item and Contribution Identifier)

## Footnotes

1. ^ Occasionally publishers erroneously assign an ISBN to more than one title — the first edition of The Ultimate Alphabet and The Ultimate Alphabet Workbook have the same ISBN, 0-8050-0076-3. The Amazon Standard Identification Number ( ASIN) is a unique identification number assigned by Amazon CODEN – according to ASTM standard E250 – is a six character alphanumeric Bibliographic code, that provides concise unique and unambiguous identification A digital object identifier ( DOI) is a permanent identifier given to an Electronic document. For the band called ISAN see Isan (band International Standard Audiovisual Number ( ISAN) is a unique identifier for audiovisual works and related The International Standard Music Number or ISMN ( ISO 10957) is a ten-character alphanumeric Identifier for Printed music developed by ISO The International Standard Recording Code (ISRC defined by ISO 3901 is an international standard code for uniquely identifying sound recordings and music video recordings An International Standard Serial Number ( ISSN) is a unique eight-digit number used to identify a print or electronic Periodical publication. International Standard Musical Work Code ( ISWC) is a unique identifier for musical works similar to ISBN. The Library of Congress Control Number or LCCN is a serially based system of numbering cataloging records in the Library of Congress in the United The OCLC Online Computer Library Center is according to its website a "nonprofit membership computer library service and research organization dedicated to the public purpose The Serial Item and Contribution Identifier (SICI is a code ( ANSI / NISO standard Z39 The Ultimate Alphabet (ISBN 1-85145-050-5 is a best-selling book by Mike Wilks. Conversely, books are published with several ISBNs: A German, second-language edition of Emil und die Detektive has the ISBNs 87-23-90157-8 (Denmark), 0-8219-1069-8 (United States), 91-21-15628-X (Sweden), 0-85048-548-7 (England) and 3-12-675495-3 (Germany). Emil and the Detectives (German Emil und die Detektive) is a 1929 novel for children set in Germany by the German writer Erich Kästner. The Kingdom of Denmark ( ˈd̥ænmɑɡ̊ (archaic ˈd̥anmɑːɡ̊ commonly known as Denmark, is a country in the Scandinavian region of northern Europe The United States of America —commonly referred to as the "Sverige" redirects here For other uses see Sweden (disambiguation and Sverige (disambiguation. England is a Country which is part of the United Kingdom. Its inhabitants account for more than 83% of the total UK population whilst its mainland Germany, officially the Federal Republic of Germany ( ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant is a Country in Central Europe.
2. ^ See discussion of the history at isbn. org.
3. ^ See Frequently Asked Questions about the new ISBN standard from ISO
4. ^ Some books have several codes in the first block (A. M. Yaglom's Correlation Theory. . . , published by Springer Verlag, has two ISBNs, 0-387-96331-6 and 3-540-96331-6. Springer Science+Business Media or Springer (ˈʃpʁɪŋɐ is a worldwide Publishing company based in Germany, which publishes textbooks academic Though Springer's 387 and 540 codes are different for English (0) and German (3); the same item number 96331 produces the same check digit: 6. Springer uses 431 as their publisher code for Japanese (4) and 4-431-96331-? would also have check digit ? = 6. Other Springer books in English have publisher code 817, and 0-817-96331-? would also get check digit ? = 6. This suggests special considerations were made for assigning Springer's publisher codes, as random assignments of different publisher codes would not lead the same item number to get the same check digit every time. Finding publisher codes for English and German, say, with this effect amounts to solving a linear equation in modular arithmetic.
5. ^ the international ISBN agency's "ISBN User's Manual" says: "The ten-digit number is divided into four parts of variable length, which must be separated clearly, by hyphens or spaces" although permitting their omission for internal data processing, as the prefix code ensures that no two codes begin the same way. A prefix is a type of Affix attached to a stem which modifies the meaning of that stem If present, hyphens must be correctly placed; See hyphenation instructions at the isbn. org web site.
6. ^ See a complete list of group identifiers.
7. ^ See Publisher's International ISBN Directory
8. ^ ISBN Users' Manual International edition (2001)PDF (685 KB)
9. ^ For example I'saka: a sketch grammar of a language of north-central New Guinea. Pacific Linguistics. ISBN "0-85883-554-4".
10. ^ ISBN Users' Manual International edition (2005)PDF (284 KB)
11. ^ EAN-13Methodology — including a detailed description of the EAN13 format.