Apparently, the rules for second generation returning Canadians is not immediate. Piper's mother's application does not get her a quick trip to a Canadian passport, due to a recent change in Canadian immigration law. The following article from the Star describes what's going on.
If you are fans of Piper and Paul, I suggest you not read the comments, because they are not particularly kind.
The Star has an editorial supporting Piper getting her citizenship prior to Sochi. Comments are disabled.
I'm afraid that G&P's 18th place finish at Worlds did not exactly help their cause, since expedited citizenship is based on exceptional service to Canada.
In fact the tone of the article is that G&P's place on the Canadian Olympic team is guaranteed, when there are 3 or 4 other teams who might pass them at Canadians, including Paul & Islam, Orford & Williams, and Ralph & Hill, especially since Paul's broken ankle and result surgery may impede their training this year.