{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:AIMOB3UV4VUHF4D4ZG5PWPBFQT","short_pith_number":"pith:AIMOB3UV","schema_version":"1.0","canonical_sha256":"0218e0ee95e56872f07cc9bafb3c2584d3e95ca96c1c8f79b340d6207927f30b","source":{"kind":"arxiv","id":"cond-mat/0507686","version":1},"attestation_state":"computed","paper":{"title":"Fermi liquid behavior in the 2D Hubbard model at low temperatures","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"A. Giuliani, G. Benfatto, V. Mastropietro","submitted_at":"2005-07-28T17:14:36Z","abstract_excerpt":"We prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially temperature independent in the considered range of temperatures and that the interacting Fermi surface is a regular convex curve. This result is obtained by deriving a convergent expansion (which is not a power series) for the two point Schwinger function by Renormalization Group methods and proving at each order suitable power counting improvements due to 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":"cond-mat/0507686","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2005-07-28T17:14:36Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"48abf810920c28e2cf3c3ccb5ec80809534f817188a41867087111ae99cb700a","abstract_canon_sha256":"5911e13ef302586d508739e4bec09b1805cb51237903b0421232f958b530d860"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:48.566354Z","signature_b64":"8PqJ75GMZwP+Z1TVwODEeliw9xPn6mowIQRTW6k++Ix9l+B9sTt85HlIGNOXVOGF5hygZ4CMa1BJ7pVL/lhXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0218e0ee95e56872f07cc9bafb3c2584d3e95ca96c1c8f79b340d6207927f30b","last_reissued_at":"2026-05-18T04:10:48.565958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:48.565958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermi liquid behavior in the 2D Hubbard model at low temperatures","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"A. Giuliani, G. Benfatto, V. Mastropietro","submitted_at":"2005-07-28T17:14:36Z","abstract_excerpt":"We prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially temperature independent in the considered range of temperatures and that the interacting Fermi surface is a regular convex curve. This result is obtained by deriving a convergent expansion (which is not a power series) for the two point Schwinger function by Renormalization Group methods and proving at each order suitable power counting improvements due to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0507686","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":"cond-mat/0507686","created_at":"2026-05-18T04:10:48.566016+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0507686v1","created_at":"2026-05-18T04:10:48.566016+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0507686","created_at":"2026-05-18T04:10:48.566016+00:00"},{"alias_kind":"pith_short_12","alias_value":"AIMOB3UV4VUH","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"AIMOB3UV4VUHF4D4","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"AIMOB3UV","created_at":"2026-05-18T12:25:53.335082+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/AIMOB3UV4VUHF4D4ZG5PWPBFQT","json":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT.json","graph_json":"https://pith.science/api/pith-number/AIMOB3UV4VUHF4D4ZG5PWPBFQT/graph.json","events_json":"https://pith.science/api/pith-number/AIMOB3UV4VUHF4D4ZG5PWPBFQT/events.json","paper":"https://pith.science/paper/AIMOB3UV"},"agent_actions":{"view_html":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT","download_json":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT.json","view_paper":"https://pith.science/paper/AIMOB3UV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0507686&json=true","fetch_graph":"https://pith.science/api/pith-number/AIMOB3UV4VUHF4D4ZG5PWPBFQT/graph.json","fetch_events":"https://pith.science/api/pith-number/AIMOB3UV4VUHF4D4ZG5PWPBFQT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT/action/storage_attestation","attest_author":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT/action/author_attestation","sign_citation":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT/action/citation_signature","submit_replication":"https://pith.science/pith/AIMOB3UV4VUHF4D4ZG5PWPBFQT/action/replication_record"}},"created_at":"2026-05-18T04:10:48.566016+00:00","updated_at":"2026-05-18T04:10:48.566016+00:00"}