{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3ZKQOYKRCST5ZSVZ6GPUFHFAWD","short_pith_number":"pith:3ZKQOYKR","schema_version":"1.0","canonical_sha256":"de5507615114a7dccab9f19f429ca0b0c98a92d1e0d1a807147e6203589dadc7","source":{"kind":"arxiv","id":"1109.4833","version":1},"attestation_state":"computed","paper":{"title":"Dynamical Mean-Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D. Vollhardt, K. Byczuk, M. Kollar","submitted_at":"2011-09-22T14:52:28Z","abstract_excerpt":"The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applicat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.4833","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-22T14:52:28Z","cross_cats_sorted":[],"title_canon_sha256":"f49c62fa2d6838b29fc49c2f8484670591f44ac764bf8863b5a10aa827c22ec6","abstract_canon_sha256":"ed72e53544aa7f385a869f9c7391d61ab8ece93caf585eccc23d59d197694f85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:26.570272Z","signature_b64":"FJcUSarHX2jsnymM/lfexLLciBUcE8Orw8douVcpMMSR2M8zvow3enNd2Injm4mBqdz01faHF2VBmCnCm8xSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de5507615114a7dccab9f19f429ca0b0c98a92d1e0d1a807147e6203589dadc7","last_reissued_at":"2026-05-18T02:00:26.569635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:26.569635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical Mean-Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D. Vollhardt, K. Byczuk, M. Kollar","submitted_at":"2011-09-22T14:52:28Z","abstract_excerpt":"The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applicat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4833","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.4833","created_at":"2026-05-18T02:00:26.569743+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.4833v1","created_at":"2026-05-18T02:00:26.569743+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4833","created_at":"2026-05-18T02:00:26.569743+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZKQOYKRCST5","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZKQOYKRCST5ZSVZ","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZKQOYKR","created_at":"2026-05-18T12:26:20.644004+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD","json":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD.json","graph_json":"https://pith.science/api/pith-number/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/graph.json","events_json":"https://pith.science/api/pith-number/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/events.json","paper":"https://pith.science/paper/3ZKQOYKR"},"agent_actions":{"view_html":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD","download_json":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD.json","view_paper":"https://pith.science/paper/3ZKQOYKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.4833&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/action/storage_attestation","attest_author":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/action/author_attestation","sign_citation":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/action/citation_signature","submit_replication":"https://pith.science/pith/3ZKQOYKRCST5ZSVZ6GPUFHFAWD/action/replication_record"}},"created_at":"2026-05-18T02:00:26.569743+00:00","updated_at":"2026-05-18T02:00:26.569743+00:00"}