Claims

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1979_07_01_hindman: Corollary 2.10 of Hindman's 1979 paper in J. Combin. Theory Ser. A: every admissible two-cell partition of the positive integers has a cell holding A+A, doubles included, for an infinite A; refereed, partial.

2026_07_19_huang_lian_shao_xiao_xu_zhang: Huang, Lian, Shao, Xiao, Xu and Zhang's preprint claims that every two-coloring of the natural numbers has an infinite set B with B+B, doubles included, in one color, the site's statement; unreviewed, pending.

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