Here is the schematic I'm planning to build as a test bench. What do you think?
It depends what you want. The LT1013 is not a suitable replacement for the LM324 at all for the power supply itself - it cannot handle the 32V on the inputs that the LM324 can handle, so in spite any claims from Linear Technology, it is not fully compatible.
If you are making just the reference, there are a few changes I would do. I would probably go for autozero opamps, and definitely a very low bias current MOSFET or JFET opamp. there are great cheap 5.5V auto zero opamps, but there are less available when you look at 30V opamps.
The main change I can suggest is to change the output amp to something like this:
It allows you to do a few things. It means the output can go above 10V, and you can also set the zero volts out (particularly if you can let the opamp have a 0.5V negative supply). It is always great if a reference can go from slightly below zero on the output to about 10% over-voltage. It means you can see what reference voltage output will get a meter reading 10.00000V. You will find if you can go 10% over voltage, you will use the feature regularly.
If you have set the 10V REF01 to be accurate from a Geller reference (or equivalent), then you can use software calibration to set the 10V output of the programmable reference (you just fine what voltage number gives zero difference between the 10V ref out and the programmable ref out), and you find out what voltage number gives 0V out. Once you have these two calibration numbers, you can calculate the number for all other voltages.
Also, to get the best accuracy from the reference, you want to pre-regulate the 15V that supplies the REF01. Also, you want it battery powered. Possible a pair of rechargeable 9V batteries will do the job. Eliminating AC supplies/power packs from a reference eliminates some of the potential error sources.
Richard.