Note that it could take the form of a parser function like {{#ASIN:X00000XXXX}}
instead of trying to detect "ASIN X00000XXXX" within the text, like we do for
"ISBN 000000000X" for ISBN-10 numbers or "ISBN 478-000000000X" for ISBN-13 numbers.

The same extension could also include a generic extension of EAN-13 product
numbers "{{#EAN:478000000000X}}, but this would not work with classical,
unconverted ISBN-10 numbers, so supporting ISBN-13 numbers in the classic parser
mode (without using parser functions) is still needed to support both formats.

Note also that ISBN-10 numbers and ASIN numbers can both be converted to EAN-13,
and in fact the EAN-13 code for ISBN-10 numbers is also its ISBN-13 number...

The general idea is that we should avoid the inclusion of direct links to
product sellers in Wikipedia or Commons references, and the simplest way is to
have them centralized in a separate special template page automatically
generated with the number in its parameters...

river wrote:

"The Amazon Standard Identification Number (ASIN) is a product identification
number used by Amazon.com and its partners. Despite the name, it is not a
"standard" outside of Amazon.com. It is valid only for referring to products
within the Amazon.com network of sites."

is this really a vendor-neutral format?

The ASIN system is in fact compatible with the international EAN-13 system, where other identifiers have
also been assigned for ISBN (books), ISSN (periodical publications).
For audio/music there are ISMN numbers (ISO 10657, or printed music publications, with the prefix M of
numeric value 3, followed by 8 digits) and ISRC numbers (for records, starting by a country prefix followed
by 10 letters or digits) you can compute an EAN-13 number.
Amazon assigns his own numbers only for audio/video products that don't have a standard code or for
compilations that it creates itself from several records. It's complicate with music, because new
compilations are created everytime, and printing multiple ISRC numbers on comemrcial packages would not be
convenient. So the audio producers are labelling their compilations using the amazon system, or ISBN, or
EAN-13. All these formats can be recognized by their prefix, which is often annoted explicitly on packages;
yes we buy CD's in shops that are not part of the Amazon system, but that exhibit the ASIN number.
But when you look into audio catalogs, EAN-13 are never used for reference purpose, then how do you
reference a CD or DVD? Many will prefix it with "ASIN" even if this is a standard EAN-13 number, just to
indicate that this is a CD or DVD product.
Many other online shops use and display ASIN numbers and allow searching for them, including price
comparators.
So may be it is a defacto standard, until the record and movie industries decides how to label their
compilations (using the number after the "EAN-13" prefix code is uncommon)
May be wecould have however the support for the "EAN" prefix code?
Note that EAN was the European organization that created this standard, and it has fusionned with the
American UCC that had developed a similar standard (CUP). The EAN-13 standard is now managed by the GS1
worldwide standard group.
The EAN-13 standard has been renamed to be neutral, it is now the "GTIN" standard code sponsored by GS1.

Later there will be the GS1 Databar "Reduced Space Symbology" (RSS), starting in 2013, that will embed the
GTIN number, and other information in a more compact barcode for use in shops and allowing product
tracability (maximum conservation date, manufacturing date, lot number, serial number, ...), coupons,
product authentication, identification of products with variable measures, and product routing and delivery
info. All in the same space as today's GTIN/EAN/UPC barcodes (that have 8, 10 or 13 digits).

There is also the GS1-128 code but not for use in direct selling points for labelling the price of
products, but only in the logistic for a specific product delivery or a specific commercial transaction, so
it won't be used to reference commercializable products in product catalogs.

I've tweaked the description since magic links are going away.