Testing paralel trend assumption for triple difference model

[Nomin Byambaa]

So I am reading a paper on triple difference. Authors tested parallel trend assumption for both DD and DDD. For DD they have female*year interaction term estimator 0.0518(0.00) and for DDD female*year*state triple interaction term estimator -0.0100(0.01). Authors concluded we can reject null hypothesis of parallel trends assumption for DD, while can not reject for DDD because its coefficient is close to 0. I do not understand the logic behind it. Really sorry for beginner question, trying to do my best to understand econometrics.

[Dimitriy V. Masterov]

I think you will need to provide additional details about the model before this becomes answerable. For starters, what is the paper? What is the model being estimated for DD and DDD? How many periods are there? What is the treatment exactly?

[Nomin Byambaa]

https://www.aeaweb.org/articles?id=10.1257/app.20160004 this is a link to the paper. it is about government program to increase girls enrollment in India.