There is no way to identify a 1290b by plate number alone, because the 2 plates used to produced 1290b were also used to produce 1290a. There are only 2 plate numbers that are unique to a certain Scott number, and those are 39378 an 39432, which were only used to produce 1290a with dull gum.
Below is the information, sorted by plate number:
28940 (1290, 1290a shiny gum)
28946 (1290, 1290a shiny gum)
31289 (1290, 1290a shiny gum)
31290 (1290, 1290a shiny gum)
37604 (1290a shiny gum, 1290a dull gum, 1290b)
37605 (1290a shiny gum, 1290a dull gum, 1290b)
39378 (1290a dull gum)
39432 (1290a dull gum)
1290 rose lake, untagged, shiny gum
1290a rose lake, tagged, shiny gum
1290a rose lake, tagged, dull gum
1290b magenta, tagged, shiny gum
If you find yourself unable to differentiate between the two colors, there are a few quick checks you can use to rule out the 1290b magenta:
1. The plate number must be 37604 or 37605.
2. It must be tagged.
3. It must have shiny gum.
Remember, the above tests are used to rule out 1290b if it doesn't meet those criteria. It is NOT a sufficient test to prove a 1290b. The conclusive test to prove a 1290b is the color.

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