{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:S7NR25L7MEWSZUHVJ2EG5SQBVG","short_pith_number":"pith:S7NR25L7","schema_version":"1.0","canonical_sha256":"97db1d757f612d2cd0f54e886eca01a9b22683f7590ea41e300565599118fc04","source":{"kind":"arxiv","id":"1809.04916","version":2},"attestation_state":"computed","paper":{"title":"Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Dionys Baeriswyl","submitted_at":"2018-09-13T12:43:32Z","abstract_excerpt":"The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz, has a BCS mean-field state with d-wave symmetry as its reference state. Superconducting order is found for densities n <1 (but not for n=1). This resolves a discrepancy between results obtained with the functional renormalization group, which do predict superconducting order for small values of U, and numerical simulations, which did not find superconductivit"},"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":"1809.04916","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-13T12:43:32Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e46bedad3d68d7b82320d19925a2c8c0e5ef625fb1cc305a7c8c37d9a6d7ee33","abstract_canon_sha256":"7064dbd81429da0a15d1c270120b7f7df019504edd8185957915459ea477c7c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:18.050070Z","signature_b64":"aLZn95tREvkQ0XMfQm84gnMyz2pInK3j3bMC7vBn2lfKAMmKQCwyem8msDDoHKDbehhTl6mXAumCmhhpZylsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97db1d757f612d2cd0f54e886eca01a9b22683f7590ea41e300565599118fc04","last_reissued_at":"2026-05-17T23:40:18.049302Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:18.049302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Dionys Baeriswyl","submitted_at":"2018-09-13T12:43:32Z","abstract_excerpt":"The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz, has a BCS mean-field state with d-wave symmetry as its reference state. Superconducting order is found for densities n <1 (but not for n=1). This resolves a discrepancy between results obtained with the functional renormalization group, which do predict superconducting order for small values of U, and numerical simulations, which did not find superconductivit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04916","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":"1809.04916","created_at":"2026-05-17T23:40:18.049490+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.04916v2","created_at":"2026-05-17T23:40:18.049490+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04916","created_at":"2026-05-17T23:40:18.049490+00:00"},{"alias_kind":"pith_short_12","alias_value":"S7NR25L7MEWS","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"S7NR25L7MEWSZUHV","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"S7NR25L7","created_at":"2026-05-18T12:32:50.500415+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/S7NR25L7MEWSZUHVJ2EG5SQBVG","json":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG.json","graph_json":"https://pith.science/api/pith-number/S7NR25L7MEWSZUHVJ2EG5SQBVG/graph.json","events_json":"https://pith.science/api/pith-number/S7NR25L7MEWSZUHVJ2EG5SQBVG/events.json","paper":"https://pith.science/paper/S7NR25L7"},"agent_actions":{"view_html":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG","download_json":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG.json","view_paper":"https://pith.science/paper/S7NR25L7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.04916&json=true","fetch_graph":"https://pith.science/api/pith-number/S7NR25L7MEWSZUHVJ2EG5SQBVG/graph.json","fetch_events":"https://pith.science/api/pith-number/S7NR25L7MEWSZUHVJ2EG5SQBVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG/action/storage_attestation","attest_author":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG/action/author_attestation","sign_citation":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG/action/citation_signature","submit_replication":"https://pith.science/pith/S7NR25L7MEWSZUHVJ2EG5SQBVG/action/replication_record"}},"created_at":"2026-05-17T23:40:18.049490+00:00","updated_at":"2026-05-17T23:40:18.049490+00:00"}