{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CNOIYU4RODCBDSYDODGBKSKJZ5","short_pith_number":"pith:CNOIYU4R","schema_version":"1.0","canonical_sha256":"135c8c539170c411cb0370cc154949cf4b10c36620c6f0aedbed17c3ec5c9877","source":{"kind":"arxiv","id":"1101.4037","version":2},"attestation_state":"computed","paper":{"title":"Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"A.-M.S. Tremblay, Bumsoo Kyung, Dominic Bergeron, Vasyl Hankevych","submitted_at":"2011-01-20T22:02:14Z","abstract_excerpt":"The conductivity of the two-dimensional Hubbard model is particularly relevant for high-temperature superconductors. Vertex corrections are expected to be important because of strongly momentum dependent self-energies. We use the Two-Particle Self-Consistent approach that satisfies crucial constraints such as the Mermin-Wagner theorem, the Pauli principle and sum rules in order to reach non-perturbative regimes. This approach is reliable from weak to intermediate coupling. A functional derivative approach ensures that vertex corrections are included in a way that satisfies the f sum-rule. The "},"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":"1101.4037","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-20T22:02:14Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"bec7661bbd0a43566f499132fb72e74ed9d35cf6c9b5b06cecee4eae8ac9dcf2","abstract_canon_sha256":"b2ffea84c81cd3995e3cfe82ed20faedc29b30ca30828bf97c97dbb07381fb55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:50.863928Z","signature_b64":"+0joDD6aE5mhQCk4i7tEk43rwwLjH1LI2dVLYkqQt8bCAe+R0nB3rgPMZwvvwfTZGr2zaY8fJnpPOX8LvkVQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"135c8c539170c411cb0370cc154949cf4b10c36620c6f0aedbed17c3ec5c9877","last_reissued_at":"2026-05-18T02:22:50.863361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:50.863361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"A.-M.S. Tremblay, Bumsoo Kyung, Dominic Bergeron, Vasyl Hankevych","submitted_at":"2011-01-20T22:02:14Z","abstract_excerpt":"The conductivity of the two-dimensional Hubbard model is particularly relevant for high-temperature superconductors. Vertex corrections are expected to be important because of strongly momentum dependent self-energies. We use the Two-Particle Self-Consistent approach that satisfies crucial constraints such as the Mermin-Wagner theorem, the Pauli principle and sum rules in order to reach non-perturbative regimes. This approach is reliable from weak to intermediate coupling. A functional derivative approach ensures that vertex corrections are included in a way that satisfies the f sum-rule. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4037","kind":"arxiv","version":2},"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":"1101.4037","created_at":"2026-05-18T02:22:50.863446+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.4037v2","created_at":"2026-05-18T02:22:50.863446+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4037","created_at":"2026-05-18T02:22:50.863446+00:00"},{"alias_kind":"pith_short_12","alias_value":"CNOIYU4RODCB","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CNOIYU4RODCBDSYD","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CNOIYU4R","created_at":"2026-05-18T12:26:26.731475+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/CNOIYU4RODCBDSYDODGBKSKJZ5","json":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5.json","graph_json":"https://pith.science/api/pith-number/CNOIYU4RODCBDSYDODGBKSKJZ5/graph.json","events_json":"https://pith.science/api/pith-number/CNOIYU4RODCBDSYDODGBKSKJZ5/events.json","paper":"https://pith.science/paper/CNOIYU4R"},"agent_actions":{"view_html":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5","download_json":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5.json","view_paper":"https://pith.science/paper/CNOIYU4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.4037&json=true","fetch_graph":"https://pith.science/api/pith-number/CNOIYU4RODCBDSYDODGBKSKJZ5/graph.json","fetch_events":"https://pith.science/api/pith-number/CNOIYU4RODCBDSYDODGBKSKJZ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5/action/storage_attestation","attest_author":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5/action/author_attestation","sign_citation":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5/action/citation_signature","submit_replication":"https://pith.science/pith/CNOIYU4RODCBDSYDODGBKSKJZ5/action/replication_record"}},"created_at":"2026-05-18T02:22:50.863446+00:00","updated_at":"2026-05-18T02:22:50.863446+00:00"}