rickenbacker pickup

I’ve always been curious, are Ric 4001 and/or 4003 equipped with single coils, or humbuckers? Or both? The bridge pickups I have seen w/o the cover look like single coils. The toaster neck pickup looks like a humbucker to me though. The non-toaster looks like a single. The horseshoe looks like...

So basically, I've had the itch for a short scale bass for a while, and I also really enjoy having an instrument which is solely unique to myself. So, to satisfy both of my desires, I have decided to create an abomination that few people would enjoy looking at. Fortunately, my band members are...