{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PQR2L36Q5IG5TNCZKVIF5ZN4BP","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":"b6499b0906a1142abb8fd0fe910b17aa8f5d0fcb5d8abafae5be2eb7a9beffd2","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-06T16:56:21Z","title_canon_sha256":"746c792e364fe26ca99226e2d9f3ef6db0f696e580610530f6ed5507284db002"},"schema_version":"1.0","source":{"id":"1302.1437","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1437","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1437v3","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1437","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"PQR2L36Q5IG5","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PQR2L36Q5IG5TNCZ","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PQR2L36Q","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:be7db04960bd0676b8cdfeaae009d13af44e0ca83c9ef3b89927aa0212e9b3fb","target":"graph","created_at":"2026-05-18T03:17:11Z","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":"To understand how nonlocal Coulomb interactions affect the phase diagram of correlated electron materials, we report on a method to approximate a correlated lattice model with nonlocal interactions by an effective Hubbard model with on-site interactions U* only. The effective model is defined by the Peierls-Feynman-Bogoliubov variational principle. We find that the local part of the interaction U is reduced according to U*=U-V', where V' is a weighted average of nonlocal interactions. For graphene, silicene and benzene we show that the nonlocal Coulomb interaction can decrease the effective lo","authors_text":"A. I. Lichtenstein, M. I. Katsnelson, M. R\\\"osner, M. Sch\\\"uler, T. O. Wehling","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-06T16:56:21Z","title":"Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1437","kind":"arxiv","version":3},"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":"sha256:95a628ea12044c7d6d4bec112968fc3b2f761963e2a045beadf2a378791eb339","target":"record","created_at":"2026-05-18T03:17:11Z","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":"b6499b0906a1142abb8fd0fe910b17aa8f5d0fcb5d8abafae5be2eb7a9beffd2","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-02-06T16:56:21Z","title_canon_sha256":"746c792e364fe26ca99226e2d9f3ef6db0f696e580610530f6ed5507284db002"},"schema_version":"1.0","source":{"id":"1302.1437","kind":"arxiv","version":3}},"canonical_sha256":"7c23a5efd0ea0dd9b45955505ee5bc0bdb7684ff615402ee66ad53eea0356e56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c23a5efd0ea0dd9b45955505ee5bc0bdb7684ff615402ee66ad53eea0356e56","first_computed_at":"2026-05-18T03:17:11.546087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:11.546087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WQ3TWq67KfwL7HrSvMdKS9lh/dNmawoH5FCoZ10CBAgta/wczCpkV7SVvtXHKEMwSnwFSlV+GW4OTiW+9VWSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:11.546681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.1437","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a628ea12044c7d6d4bec112968fc3b2f761963e2a045beadf2a378791eb339","sha256:be7db04960bd0676b8cdfeaae009d13af44e0ca83c9ef3b89927aa0212e9b3fb"],"state_sha256":"9cbc11439507c7214eeb2017ac2011ae15c4df9ff7bb46961c8345c446b8bba2"}