By popular request, we have added a "~1 minute" lead-time option for getting reminders/alarms. Keep in mind that there are various delays in the system going from us to Apple and then to your iPhone, and that clocks may not all be in sync. This is why it is only approximately 1 minute ahead of time. The actual reminder may arrive a few minutes to either side.
This some how just got deleted so I'm trhying again.
This is buggy. My test reminder set for 10:20 PM on April 2, with an "within 1 minute" reminder showed up today (April 3) at 5:25 PM, and the reminder via Twitter showed up just after. This needs work...
There was a bug related to sending reminders to Apple iPad devices that was causing all reminders to be delayed. Since we have only had our iPads in hand for 3 hours, we have been frantically trying to find the bug. We couldn't test reminders on iPad until today. Luckily, we just did, and got it fixed just a few minutes ago. Reminders are now working as they should, including on the iPad.