{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:44K7XPIGABMLM65H3I5OUC7M7C","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":"2f04bab8f7d2aafab22fbcbd55dd70a46f504db721a42533516114d8c9e1dce9","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-03-07T15:40:02Z","title_canon_sha256":"d3b3d902c63e46947e6eb3e06feb6225e0945142cd1203d26cc15ddb439abf73"},"schema_version":"1.0","source":{"id":"cond-mat/0303136","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0303136","created_at":"2026-07-04T14:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0303136v3","created_at":"2026-07-04T14:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0303136","created_at":"2026-07-04T14:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"44K7XPIGABML","created_at":"2026-07-04T14:19:56Z"},{"alias_kind":"pith_short_16","alias_value":"44K7XPIGABMLM65H","created_at":"2026-07-04T14:19:56Z"},{"alias_kind":"pith_short_8","alias_value":"44K7XPIG","created_at":"2026-07-04T14:19:56Z"}],"graph_snapshots":[{"event_id":"sha256:be5605774165646e2264c95d90ceeb77670fc977df778e23f51331c518aac7bc","target":"graph","created_at":"2026-07-04T14:19:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0303136/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field theory (Kotliar et al, PRL 87, 186401 (2001)) are limiting cases of a more general cluster method. Results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom and cluster size.","authors_text":"C. Dahnken, M. Aichhorn, M. Potthoff","cross_cats":["cond-mat.supr-con"],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-03-07T15:40:02Z","title":"Variational cluster approach to correlated electron systems in low dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0303136","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:bb8dcda2f44c85731053c4dbf825481b039d31b00fed9dac2dcfca4d77f807ea","target":"record","created_at":"2026-07-04T14:19:56Z","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":"2f04bab8f7d2aafab22fbcbd55dd70a46f504db721a42533516114d8c9e1dce9","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-03-07T15:40:02Z","title_canon_sha256":"d3b3d902c63e46947e6eb3e06feb6225e0945142cd1203d26cc15ddb439abf73"},"schema_version":"1.0","source":{"id":"cond-mat/0303136","kind":"arxiv","version":3}},"canonical_sha256":"e715fbbd060058b67ba7da3aea0becf886b12149722f3f35990ddd5d3e1d7915","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e715fbbd060058b67ba7da3aea0becf886b12149722f3f35990ddd5d3e1d7915","first_computed_at":"2026-07-04T14:19:56.865859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:19:56.865859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oQZIGSfWU08+RP7NRNAc1CBImDR38fhZEU+ogmCl8ATIY8O8BoG+AZYQ3addTe4DlhXZyl8GJonH7LuM3cYKDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:19:56.866644Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0303136","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb8dcda2f44c85731053c4dbf825481b039d31b00fed9dac2dcfca4d77f807ea","sha256:be5605774165646e2264c95d90ceeb77670fc977df778e23f51331c518aac7bc"],"state_sha256":"e1ab7709e17c6a34943159e0a0c4721d1ea207d4fd0d29edab37eeed4cb45430"}