"I do not have to copy the Code Comparator PIC running ASM."
What I am saying is not that I can drop the Feedback Loop, I say that I can use C++ on Arduino in stead of the looooooooooong (for me cryptical) PIC assembler code in AN86.
"Maybe there are linearity and stability problems on the switching points (2.5V, 5V, ...)."
Imo the idea is so simple it cannot fail. Imagine 4 batteries in series - each nominal 2.5 Volt. By tapping at the "end points and joints" - either directly - or through 3 capacitive dividers of the (4x2.5=)10 V, you will get something like 0, 2.5, 5.0, 7.5, 10 V.
Now change one battery with a 0-2.5 V 18 Bit DAC (LSB for 2.5 V and 18 Bit is just under 10uV which the LTC2756 gives stable), and add relays so that you can tap the full span 0-10V (i.e. 0, (0-2.499...), 2.5+(0-2.499...), 5.0+(0-2.499...), 7.5+(0-2.499... ), 10) with 18 Bit resolution. You now have the topology for a 1PPM 10V Source (10uV resolution for 10V).
The implementation is only technical details. You can use a rotary switch as in a KV divider - or you can use jumpers on a matrix/breadboard. But then it is only manually controllable ...
If you use digital control by relays and ADC feedback, you can tap the physical joints of the 2.5 v references, and then correct the output via the 18 Bit DAC. You will not need LTC1043.
If no feedback - open loop - is chosen, you must tap 2.5, 5.0, 7.5 V from resistor or capacitor precision dividers.
I think one has to use different references for the 2 Bit and 18 Bit DACs because of galvanic isolation (different ground is needed for series summing). This is not a problem. The more LTC6655 you put in series, the more stable the end result (or fractions of it).
But maybe it is a better idea to buy a 20 Bit DAC. Then you can add 4 Bit and get a (nominal) 0.1 PPM 7 Decade Voltage Source

This idea came up because I already have an 18 Bit DAC.
Maybe I am wrong in details - and personally I think it is almost impossible to make a stable 7 Decade 0.1 PPM Source - but all I am saying is that you can get "finer resolution" voltages between 0 and 6 Volt by series 4 pcs. AA batteries and put a multi turn potentiometer over ONE battery (divide 1.5 V) instead of putting the pot over ALL of them (the full 6 V).