The most interesting thing about this to me is that they're obviously only emailing people who's emails were in the gawker data. Eg: I didn't receive one of these because I don't have a gawker account. Very cool.
Checking the supposedly full database that the hackers released, the email address gawker mailed to is not there (nor are any other email addresses of mine).
I have not received an email from LinkedIn (yet), but when I attempted to log in to it a few minutes ago, it failed and told me there was a problem with my account. I just tried again and this time it takes me to a page that says they have been notified there is a problem with my account and they are fixing it and I'll be taken to my home page in a few minutes.
Net result: I am now very confused.
[1]: http://www.google.com/fusiontables/DataSource?dsrcid=350662