{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"f7ff1d7b9b57401ff2bfbf796c9e293a914c1cf82e42b16fe61bd96959a8f061","created":"2026-10-03T07:17:52Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"71d3b3988d3b569e6a4c2e013e02704bb7f1a62d3237d1440b01cb0f1d5f248b","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"mathph.lieb-thirring-constants","field":"mathph","n":"1","review_cite":"Rupert L. Frank, Ari Laptev, Timo Weidl, Schrodinger Operators: Eigenvalues and Lieb-Thirring Inequalities, Cambridge University Press, 2022","review_link":"https://doi.org/10.1017/9781009218436","review_verified":"true","summary":"The Lieb-Thirring inequality bounds the total binding energy of all bound states in a potential well by a simple integral of the potential, and it is a key step in proving that ordinary matter does not collapse. The best numerical constant in this bound is still unknown in three dimensions.","title":"Sharp constants in Lieb-Thirring inequalities","topic_ref":null,"why":"The sharp constant fixes how closely the semiclassical Thomas-Fermi picture bounds the kinetic energy of many fermions, which enters every quantitative stability-of-matter estimate."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"9b795df8bba67037212e33cc80fcb1b7804f1dc5a26e182277387971a731f808","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"5c3d7c2da0f83677e20715afb8f8feb32f3fef57bc20d49d7907745fedc752e7","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"oe4NC5sN5GIziDkmXuMUw-Z6g2nM-Smgat7Vvb-W2aVIE6tc-Njid_x8iEEmEWUmKl61HtiGo9NJozwonaHnCw"},"schema":"pubphys.envelope/1"},"record_hash":"9b795df8bba67037212e33cc80fcb1b7804f1dc5a26e182277387971a731f808","leaf_index":263}