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The phrase "a serial number" is correct and usable in written English.
You can use it when referring to a unique identifier assigned to an item, often for tracking or inventory purposes.
Example: "Please write down the serial number of your device for warranty registration."
Alternatives: "an identification number" or "a unique code".
Exact(60)
It doesn't have a serial number.
But also any other street furniture with a serial number.
The secret message could contain a serial number or other identification designated by a manufacturer.
In 2015, he tweeted that Air Canada had scrawled a serial number in black ink.
Each device has a serial number, and users can assign names or other labels.
All currency with a serial number ending in that digit would no longer be legal tender.
"Of course the boat had never had a serial number," he said.
As each target is captured, he is assigned a serial number.
Earlier we were given a serial number which was specific and which we could match.
THE digital camera had a serial number of "0000001" etched on its case, your correspondent recalls.
The part of the plane's landing gear was stamped plainly with a serial number: Boeing CSTG65884045.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com