serial number

noun
a number, usually one of a series, assigned for identification: the serial number of an automobile engine.

Origin:
1895–1900

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
serial number
 
n
any of the consecutive numbers assigned to machines, tools, books, etc

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
So send a letter with name, rank, and serial number.
Every vote should carry a serial number, so that responsibility for harmful or
  careless use of the vote can be traced.
He had been instructed to tell his captors only his name, rank, and serial
  number.
Such a mark could indicate a gun's serial number, which is already recorded
  when someone buys it.
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