{"id":"palomar/PALOMAR-2026-10-29-000038","url":"https://github.com/carson-olaf/c3a-two-temperature-bound/tree/033952dc1ca04e62a7b2a341561d07c9809437b9/formalization/lean","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000038-v1.json","repo":"https://github.com/carson-olaf/c3a-two-temperature-bound","tags":["math.CO","math.NT","msc:11B30"],"score":0,"title":"A finite two-temperature lower bound for the GHR sum-difference constant","trust":"high","domain":"math.CO","source":"palomar","authors":["Carson Olafson"],"reviews":0,"subject":"math.CO","summary":"The Gyarmati-Hennecart-Ruzsa constant C₃ₐ is the supremum of real exponents theta for which every K > 1 admits a positive constant c and arbitrarily large nonempty finite integer sets X with nonempty partners Y satisfying |X+Y| 60709/50000 = 1.21418. A finite type at depth 10^13, separate difference and sum tilts, cyclic compression, and a proved finite-set principle supply the bound. The result concerns extremal sumset and difference-set growth in additive combinatorics. The paper's general limiting theorem is outside the formalized claim.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true,"formalizes":[{"title":"Two-temperature cyclic compression for the Gyarmati-Hennecart-Ruzsa constant","identifier":"","relationship":"formalizes"}]}