The high-order bit for for each case is the category it's in and the "Outcome" column - that summarizes if the solution was full/partial/wrong, if AI had assistance, etc. Then further discussion for each one is linked from the number.
Then the "Literature result" columns have a citations for where similar published results were found. The ones with no "Literature" column, like in the first section, are cases where no similar published results have been found (implying that the solution would not have been trained on). Note that in some cases a published solution was found but it wasn't similar to the AI's.
(this is all explained with more detail and caveats at the top of the page)