Does Canada record every entry without missing (I know that sometimes they won't give you stamps on your passport, but every time you enter, it should have been recorded on the system, right?)? If they do, then wouldn't an event that requires your presence to happen (such as a doctor visit, a conference talk, a thesis defense, for example) be a definite proof of continuous stay from the date of said event all the way to the last time your entry was recorded, even if it was a one-off event?
For example, if the LAST time you entered Canada on, say, January 1 2013, and on, say, April 10 2013, you visited a doctor (that would require you to swipe your health card), wouldn't it necessarily mean that from January 1 2013 to April 10 2013 you are continuously present in Canada? If you have left in between, for you to be able to swipe your card on April 10, you would've had to enter Canada, and this entry would have been recorded; so if there was no entry between January 1 and April 10 (the time where you swiped your health card, for example), wouldn't it mean you reside continuously this whole time in Canada?