{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WVV7TRKJ5J3SMA6E57IF5RFJJM","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":"b9b9084c3d5d26f29e088a033ca7e5c2b7a1a038f795730264f412ce02b23e35","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-28T15:23:44Z","title_canon_sha256":"d93326d618a24a43c570620394e9be99dedf1d7e1ec69ee8e8b411ce5337d030"},"schema_version":"1.0","source":{"id":"1111.6470","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6470","created_at":"2026-05-18T03:34:48Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6470v2","created_at":"2026-05-18T03:34:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6470","created_at":"2026-05-18T03:34:48Z"},{"alias_kind":"pith_short_12","alias_value":"WVV7TRKJ5J3S","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WVV7TRKJ5J3SMA6E","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WVV7TRKJ","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:05adda2cb8cff5baad05cf4c90ab668304f098dbcd8f15fc2fdd4bd95af96ad1","target":"graph","created_at":"2026-05-18T03:34:48Z","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":"We derive a self-consistent local variant of the Thomas-Fermi approximation for (quasi-)two-dimensional (2D) systems by localizing the Hartree term. The scheme results in an explicit orbital-free representation of the electron density and energy in terms of the external potential, the number of electrons, and the chemical potential determined upon normalization. We test the method over a variety 2D nanostructures by comparing to the Kohn-Sham 2D-LDA calculations up to 600 electrons. Accurate results are obtained in view of the negligible computational cost. We also assess a local upper bound f","authors_text":"E. Rasanen, G. Bekcioglu, I. Makkonen, S. Pittalis","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-28T15:23:44Z","title":"Large two-dimensional electronic systems: Self-consistent energies and densities at low cost"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6470","kind":"arxiv","version":2},"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":"sha256:7f96a7d0dcecec3ee4988531141a62623d76515fbdc66e7bb56e9f13aef29d9d","target":"record","created_at":"2026-05-18T03:34:48Z","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":"b9b9084c3d5d26f29e088a033ca7e5c2b7a1a038f795730264f412ce02b23e35","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-28T15:23:44Z","title_canon_sha256":"d93326d618a24a43c570620394e9be99dedf1d7e1ec69ee8e8b411ce5337d030"},"schema_version":"1.0","source":{"id":"1111.6470","kind":"arxiv","version":2}},"canonical_sha256":"b56bf9c549ea772603c4efd05ec4a94b24105d5bc43963004ba0b6a57e6e6bc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b56bf9c549ea772603c4efd05ec4a94b24105d5bc43963004ba0b6a57e6e6bc1","first_computed_at":"2026-05-18T03:34:48.486261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:48.486261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z5xr4qm8XNNNtYRqvz+rAOIpmP2cVwBSnQOchTl7yUv07nIhrOJ0XqS97vdsJM955GDaxEtFkftnWtupIc/cAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:48.486912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6470","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f96a7d0dcecec3ee4988531141a62623d76515fbdc66e7bb56e9f13aef29d9d","sha256:05adda2cb8cff5baad05cf4c90ab668304f098dbcd8f15fc2fdd4bd95af96ad1"],"state_sha256":"e923bd055ed1b4e17bb4a9bfadac2457bbea1749eb97922c7756e1891dca8944"}