{"id":"palomar/PALOMAR-2026-08-21-000005","url":"https://github.com/mbaccaro-dev/mathematical-proofs/tree/979219b93b9e19344219ffd96ad4c8b84ca89cf5/MathematicalProofs/PrimeLocalWeilObstruction/Lean","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-08-21-000005-v1.json","repo":"https://github.com/mbaccaro-dev/mathematical-proofs","tags":["math.NT","msc:11M26","msc:11N05","analytic-number-theory","von-mangoldt","lean-formalization","prime-powers"],"score":0,"title":"mbaccaro-dev/mathematical-proofs","trust":"high","domain":"math.NT","source":"palomar","authors":["Mayk Loide Baccaro"],"reviews":0,"subject":"math.NT","summary":"Formalizes the prime-local obstruction by proving the sharp threshold for each local block, divergence of the associated von Mangoldt and prime-power budgets, and divergence of every scalar budget satisfying the sharp pointwise lower bound at every natural-number index.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-08-21","reactions":{},"formalized":true,"formalizes":[{"title":"A Prime-Local Weil Obstruction","identifier":"10.5281/zenodo.22005240","relationship":"formalizes"}]}