It seems this might be a new invention at NVidia (for 6xx) series, looking at the GTX 570 and its EEPROM (red box), or just a coincidence that the Device ID straps are near the EEPROM in some 6xx series cards.
Not only 600 series. one resistor is located around eeprom since 8000 series. I checked 8600 240 450 cards.
But on gts 450, second is like a sum of 2 resistors on different sides near proccessor.
gts 450 id is 0dc4
Resistors are 10k + "switchable high-low" 20k = 4. I mean 10k = 1, 20k = 3, 1 + 3 = 4
The easiest way to found them is to check every resistor for 5k, 10k, ... 40k resistances and look how they are connected with "unsoldered" parts.
Not sure about 7000 series, but i think it is too old to modify it