Flash on iOS: Adding push notification

edit: Links updated!

Apple Push Notification Service native extension for Adobe AIR

http://www.liquid-photo.com/2011/10/28/native-extension-for-adobe-air-and-ios-101/

Adding push notification for Android is well covered here:
http://www.riaspace.com/2011/09/as3c2dm-air-native-extension-to-push-notifications-with-c2dm/

An amazing article from James Ward to add push notification to Android.
http://www.jamesward.com/2011/05/11/extending-air-for-android/