The ADS1256 is a pretty good ADC, but the S/N is still not much better than the LM399 and one would still need a reference for the ADC. I have done measurements with a LM399 ref as the DUT and another LM399 ref at the ADC. In this combination alone one never known which ref. is at fault. It needs at least a 3rd one. The ADC noise still is part of the noise - even with a pretty low noise ADC.
So the logical point would be to subtract some common voltage (some 7 V) from all the inputs. There would be only a small rest left for the ADC to sample and look at. For the 7 V to substract one would need a prettly low noise ref (e.g. ADR1000 or similar).
The average votlage of multiple LM399 in the test would be a pretty low noise reference, though still not perfect. If you than see a jump in one of the curves, it chould be pretty clear who is at fault, as one curve would see a jump up, while the others would see a smaller (1/3) step down.
Sorry for my criptic description. My point is that I don't measure the absolute value. Absolute value can be measured onece per month or year since I dont own 8 1/2 voltmeter.
I measure only the differences between signals - worse case 7mv difference - I don't see any problem to use any multichannel SD ADC. CMMR shoud not me an probleem too since Vref signals are almost DC. The project will be software and mathematics oriented
https://github.com/mirtcho/LM399/wikiShort oversimplified description for 3xLM399
1. LM399 Vz re marked ad V1, V1,V3
2. the number of diferences is N=(n-1)*n/2 in our case n=3 N=3*2/2
3.diferences are V1-V2, V1-V3 and V2-V3
4. with simple mathematics you can judge who lies from them.
You can make many this only with difference of two Vref's . Eg V1-V2 = contains the spectrum noise of both Vrefs.
Statistics can help me to distinguish good from bad LM399 samples
With only power cycling one device I can build model of power off/on hysteresis of one device.
Ideas are endless.
I'm aware that proper HW setup is essential. I don't have experience with measuring low level signals. I have many qustions about my HW setup.
Lets start with first one.
What are the challenges of connecting +4,5V output from LM399 power domain to the ADS1256 GND? -> 7V- 4,5V ~2.5V half ADC range