{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NVQK7MLY6FQMT7OEHBJIQMFZKX","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":"4dc1d02bb14148c0ffee3f3840ebbc684348dd17b99806707634dd79e63d82a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-06-27T04:23:51Z","title_canon_sha256":"77f1f30bf014f22260c25f48dc9de3f19f06f9bdb07e08d3a44e941dc53a6c7c"},"schema_version":"1.0","source":{"id":"0906.5037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5037","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5037v1","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5037","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"NVQK7MLY6FQM","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NVQK7MLY6FQMT7OE","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NVQK7MLY","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:9f1a3275e0d4af8e54f60feae8a82f443ebd62d3d5ce109e34f0ea1b34cecd9c","target":"graph","created_at":"2026-05-18T02:13:12Z","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":"Commonly used semilocal density functional approximations for the exchange-correlation energy fail badly when the true two dimensional limit is approached. We show, using a quasi-two-dimensional uniform electron gas in the infinite barrier model, that the semilocal level can correctly recover the exchange-correlation energy of the two-dimensional uniform electron gas. We derive new exact constraints at the semilocal level for the dimensional crossover of the exchange-correlation energy and we propose a method to incorporate them in any exchange-correlation density functional approximation.","authors_text":"Lucian A. Constantin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-06-27T04:23:51Z","title":"Dimensional crossover of the exchange-correlation energy at the semilocal level"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5037","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:e8b7c60df512415b8d28d338a740328b28cf5e79778ec6aa775d6f01a97c0a8a","target":"record","created_at":"2026-05-18T02:13:12Z","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":"4dc1d02bb14148c0ffee3f3840ebbc684348dd17b99806707634dd79e63d82a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-06-27T04:23:51Z","title_canon_sha256":"77f1f30bf014f22260c25f48dc9de3f19f06f9bdb07e08d3a44e941dc53a6c7c"},"schema_version":"1.0","source":{"id":"0906.5037","kind":"arxiv","version":1}},"canonical_sha256":"6d60afb178f160c9fdc438528830b955e09fb56f2f9aefda1b98acb748a30b0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d60afb178f160c9fdc438528830b955e09fb56f2f9aefda1b98acb748a30b0b","first_computed_at":"2026-05-18T02:13:12.238738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:12.238738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"grDr2wHNrVv6mnHWbPiXPeMeWS59QPavbhvSB5u6Wok2XYH22riJfgnwXRj4v+d9BIt7H9IL4kWjYQoWZ0EcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:12.239210Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8b7c60df512415b8d28d338a740328b28cf5e79778ec6aa775d6f01a97c0a8a","sha256:9f1a3275e0d4af8e54f60feae8a82f443ebd62d3d5ce109e34f0ea1b34cecd9c"],"state_sha256":"b5433c3be0c7d23916beaf844877a077328ab67fa1038eab9c3e69a9f510b2dd"}