You can send extra information alongside the Dynamic Push payload which can then be read and used within your app.

To read this content in an activity onCreate() and onNewIntent(), you can do 

Intent myIntent = getIntent();
String payloadValue = intent.getStringExtra(OpenBack.OPENBACK_PAYLOAD_EXTRA);
// the payloadValue is set to the payload string received from the notification 

If you have access to the App Inbox you can also use the payloads feature there -