Here are a couple of old carbon composition resistor from my child hood, most likely pulled from old B&W tube TV sets or radios. Odd to see that gold band. The resistors were not enclosed as shown during the measurements. Data was again collected at 10PLC, 4-wire. Starting with the 1kohm, I allowed the HP34401A to warmup for roughly 10 minutes, then collected data for another 10 minutes. P-P is now 0.079 ohms. I beach towel would help.
Leaving the meter on (about 20 minutes of warmup time now), I inserted the 100k and let it run for another 20 minutes and noticed about a 100 ohm drift. It was settling out so I restarted the test and let it run for another 40 minutes. P-P is now 2.6 ohms and we can see the furnace cycle. Again, a simple beach towel would help filter this.