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Yes we understand taking issue with the word fair. But we should say we mean fair in a very specific way. We would say our algorithm is more fair in the sense that it, in some ways, it more fairly reflects the intent of the HN community as revealed by their upvote behavior. We talk about this more in the Readme: https://github.com/social-protocols/news#readme
If you're interested in investigating timing effects: We collected a dataset last year where we took a snapshot of the newest 1500 stories on HN every minute for several months which should contain the information required. Feel free to play around with it and get in touch with us if you find something interesting!
[1] Dataset: https://osf.io/bnysw/
[2] Exploratory analyses: https://github.com/social-protocols/hacker-news-data