{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"07b7c4cd8c7cf99f9465269552c96779bb6110e69eb88aaecf6961e6b01b0137","created":"2026-10-03T07:17:52Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"e588a7e5b3d29ac2b4cb830bed8942ef01fda8ce3d56e7f30daf5b024e2f7e0f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"mathph.crystallization","field":"mathph","n":"1","review_cite":"Xavier Blanc, Mathieu Lewin, The crystallization conjecture: a review, EMS Surveys in Mathematical Sciences, 2015","review_link":"https://doi.org/10.4171/emss/13","review_verified":"true","summary":"At zero temperature atoms arrange into regular crystals, yet for no realistic interaction in three dimensions has anyone proved that the lowest-energy arrangement of many particles is periodic. Two-dimensional proofs exist only for special forces.","title":"Crystallization of many-particle ground states","topic_ref":null,"why":"It would derive the existence of crystals, the basic structure of solid matter, from the interaction law alone."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"00bca35d0adb193ca8c103df758e6ebf929de8f1f684bf0377fdce9923d82670","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"cf221842b7f16be07065a30ed9ed232a9ea8bef5d1434b518baa7192bb67ed4c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"MRB51Beb9IAhMBTpmbtjEBLV2DmoCetSGT5lfHGQWiBRMhsbkKTMVwGTs0W_5nxd18stgmVXXaqVK3N_b6D0Bw"},"schema":"pubphys.envelope/1"},"record_hash":"00bca35d0adb193ca8c103df758e6ebf929de8f1f684bf0377fdce9923d82670","leaf_index":256}