{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OHEZBHMJJ52GJIU33QPSUG6LHL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b63154db20ae3a0bea7b9d9b0e23076d686de7b012f07257cca18d996ec5d664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-06-28T11:34:09Z","title_canon_sha256":"33c78e12d19bc78e177de8dbfb745eb404b4c7be7dc3b1d152d102afd29d8851"},"schema_version":"1.0","source":{"id":"1906.12141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.12141","created_at":"2026-05-17T23:41:59Z"},{"alias_kind":"arxiv_version","alias_value":"1906.12141v1","created_at":"2026-05-17T23:41:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.12141","created_at":"2026-05-17T23:41:59Z"},{"alias_kind":"pith_short_12","alias_value":"OHEZBHMJJ52G","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OHEZBHMJJ52GJIU3","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OHEZBHMJ","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:9500d1cd86a66cc7fb7fdf13bb0a5279c124df8f4943a078cdbca1303a77324e","target":"graph","created_at":"2026-05-17T23:41:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The geometry of atomic arrangement underpins the structural understanding of molecules in many fields. However, no general framework of mathematical/computational theory for the geometry of atomic arrangement exists. Here we present \"Molecular Geometry (MG)\" as a theoretical framework accompanied by \"MG Operating System (MGOS)\" which consists of callable functions implementing the MG theory. MG allows researchers to model complicated molecular structure problems in terms of elementary yet standard notions of volume, area, etc. and MGOS frees them from the hard and tedious task of developing/im","authors_text":"Chanyoung Song, Deok-Soo Kima, Jehyun Cha, Jong Bhak, Joonghyun Ryua, Kokichi Sugihara, Mokwon Leeb, Roman A Laskowskid, Sangwha Kim, Seong Eon Ryu, Youngsong Choa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-06-28T11:34:09Z","title":"MGOS: A Library for Molecular Geometry and its Operating System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.12141","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3740885051bf63e80d9db2e983194ee97d2e44273071efbad77eb62ae6996af5","target":"record","created_at":"2026-05-17T23:41:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b63154db20ae3a0bea7b9d9b0e23076d686de7b012f07257cca18d996ec5d664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-06-28T11:34:09Z","title_canon_sha256":"33c78e12d19bc78e177de8dbfb745eb404b4c7be7dc3b1d152d102afd29d8851"},"schema_version":"1.0","source":{"id":"1906.12141","kind":"arxiv","version":1}},"canonical_sha256":"71c9909d894f7464a29bdc1f2a1bcb3af6243214d635ebba6eade37463db4855","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71c9909d894f7464a29bdc1f2a1bcb3af6243214d635ebba6eade37463db4855","first_computed_at":"2026-05-17T23:41:59.162301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:59.162301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aA/IEp7aO8RT0Ao2xgWjGlwa6QYFZwGQT4xymr1NbRe/kJJQVTXpxYPtVx40hGsuv3q/Mn7Kj2lmj7VSHX2hCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:59.162800Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.12141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3740885051bf63e80d9db2e983194ee97d2e44273071efbad77eb62ae6996af5","sha256:9500d1cd86a66cc7fb7fdf13bb0a5279c124df8f4943a078cdbca1303a77324e"],"state_sha256":"56e187016e91ec7bfac10ddb2185ef0a02f41250c436e5b2f72c9fe010ffe291"}