Would not be easier to start with the 10Kohm reference first, and check the stability of the meter with that? A bulk foil resistor is some 15 EUR on Digikey. 1 year DCV 10V is 8ppm, 10Kohm is 10ppm. 1 day is 2ppm.
Well, definitely, no.
Resistance is not 'easier' to check, price of component is not everything, and especially what you suggest, is not sufficient at all.
At first, TheSteve wants to check, whether the 3458As internal LTZ1000A module is long-term stable or not, as described in AN-18. That can't be done with a 10k reference resistor, because U and R are independently realized in the 3458A. Additionally, there is no known instability for the internal 40k reference resistor.
Otherwise, TheSteve should check, if his instruments already contains the VHP101, which is probably much more stable than in the specification, which relates to the older type.
It might be as good as < 1ppm/year, if one assumes the Vishay specification for their oil filled type BMF resistors.
The T.C., anyhow is about < 1ppm/K, and therefore, compared to the voltage reference, much worse, as the interior of the 3458A might easily change by ten degree Celcius or more.
That's why I suggest, that the 3458A can't be used as a 'standard' instrument, especially for the mediocre resistance mode.
So you would need a very stable and/or well characterized external resistor reference, which I assume cost much more than these 15$.
Some volt-nuts have an SR104, or Fluke 742-10k, or DIY Vishay 10k VHP 202Z, VHP 101, with included thermometer, so the T.C. can be calculated back to normal R25.
See also 'T.C. measurements on precision resistors'.
As far as I can tell, from comparison of the 3458A against a group of 5 external VHP202Z, the 40k resistor inside my own 3458A, a VHP101 type, seems to very stable over the years, < 2ppm/2years, and its T.C. might be about 0.4ppm/K (variations are too high for precise determination of T.C.). But this ain't no 'easy' measurement, either.
You also see, that absolute Ohm measurements with a 3458A are not better than about +/-2ppm.
If you monitor its internal temperature, maybe a bit better.
Relative Ohm measurements (transfer) can be done to about 0.2ppm, though.
Frank