The resistors have a 100 ppm/C *temperature coefficient*. I only stock generic 1% and 5% penny resistors as well. That 100 ppm/C is a guess based on what I think I ordered from Mouser. I bought on price for general work, not on specs.
My "lab" runs between 58 and 61F. I didn't turn on the heat because I didn't want to introduce a thermal cycle into the results. All the components had reached ambient temp before test.
The 0.7mA is just from what I had in stock for resistors. The data sheet specified 3.6k and I have 3.3k on the shelf.
The settling you see on that one chart is the resistor reaching thermal equilibrium.
My opinion at this point is that without ovenizing, trimming, low temp coefficient resistors etc., that these voltage references will not be reliable for 0.1mV. I would strongly recommend going to voltagestandard.com and getting a multi output reference. He uses components that are up to the task and all you have to do is hit the correct ambient temperature and it will work without guessing. The cost is pretty minimal given the performance and will definitely get you the digit you're looking for.
Here's the standard I would consider:
http://www.voltagestandard.com/PentaRef.htmlIt's $78.