I am looking for a program, user script, API, or web tool that can indicate, for a given researcher, what percentage of their publication is open access.

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A free option would be ImpactStory. Here is an example of a person with 100% OA articles.

Other than that, commercial databases such as Web of Science or Scopus contain such data.

This screenshot shows an example of an Author Profile search whereby in the left-handside menu you see the option to refine your search to 'Open Access' publications. One can also download these data as CSV files:

Web of Science search with a menu that allows one to narrow the results down to Open Access publications


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