You can download the full dataset behind paperswithcode.com here:
Download links are below:
The last JSON is in the sota-extractor format and the code from there can be used to load in the JSON into a set of Python classes.
At the moment, data is regenerated once a week (over the weekend).
Part of the data is coming from the sources listed in the sota-extractor README.
All data is licenced under CC-BY-SA.