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The following comes from Page 54 of Revenue Canada
Taxation publication MC42.
The Social Insurance Number contains nine digits.
The number consists of eight assigned digits, with
the ninth digit being constructed from the first
eight and acting as a check digit. The accuracy of
transcription of the number may be verified using
the standard modulus 10 check digit formula.
Briefly, the check digit is established by
considering the unit digit of the basic number and
each alternate digit to the left to be a whole
number. This number is multiplied by two and the
digits in the product and the intervening digits
which were not inflated are cross added. The sum
is subtracted from the next highest number ending
in zero. The difference is the check digit.
For the purpose of verifying the Social Insurance
Number, you must consider the basic Social
Insurance Number which consists of the first eight
digits.