Before my wife's chronic migraine, she was deeply involved in genealogy.
For my family history, she actually found where my paternal great-grandmother was on the Dawes Rolls. She was 1/4 Choctaw which makes me 1/32 Choctaw. I think I'm also 1/128 Cherokee but we can't find the evidence since that would be quite far back.
Anyway, that makes my dad verifiably 1/16 Choctaw.
What's interesting is that he took a DNA test and it found 0% Native American DNA. Genetics and heredity is weird like that since you only get half of each parent's DNA.
I'm not obscene enough to start claiming my "Native American Heritage" for 1/32 and a life that was lived entirely as an entitled white person.