Well, the theory is simple (but maybe practice is not).
An I-V graph of an LED shows where the voltage drop remains constant independent of the current.
For example, a red LED has a different voltage drop than a blue one because they are made of different materials.
In the run of the years, different materials were also used for a red LED.
The earliest LEDS had a semiconducting alloy gallium phosphide arsenide (GaAsP); nowadays, the red LEDs are made of Aluminum indium gallium phosphide (AlInGaP).
These different materials should show up as different I-V diagrams.
If there was a table indicating period->used material->voltage drop, we could measure the voltage drop and then work backwards to get an (approximate) time of manufacturing.
Perhaps the OP would care to elaborate his theory.