{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WB5SL57VGX4U2HVRK6LGJGGPWO","short_pith_number":"pith:WB5SL57V","schema_version":"1.0","canonical_sha256":"b07b25f7f535f94d1eb157966498cfb3a9632a1ad0d3656f6d9528ffd1fb7364","source":{"kind":"arxiv","id":"1605.07426","version":2},"attestation_state":"computed","paper":{"title":"Superfluid transition in the attractive Hofstadter-Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.quant-gas","authors_text":"M. Iskin, R. O. Umucalilar","submitted_at":"2016-05-24T12:44:17Z","abstract_excerpt":"We consider a Fermi gas that is loaded onto a square optical lattice and subjected to a perpendicular artificial magnetic field, and determine its superfluid transition boundary by adopting a BCS-like mean-field approach in momentum space. The multi-band structure of the single-particle Hofstadter spectrum is taken explicitly into account while deriving a generalized pairing equation. We present the numerical solutions as functions of the artificial magnetic flux, interaction strength, Zeeman field, chemical potential, and temperature, with a special emphasis on the roles played by the density"},"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":"1605.07426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-05-24T12:44:17Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"title_canon_sha256":"9198ba26e4d13a8de912ec4ab352f9dece57b525bda76e95805ddfdc6acafb0a","abstract_canon_sha256":"f824a6e9f8953895d8360fa2165750968f245acfafdb97816bc331b4a93a33af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:30.785103Z","signature_b64":"NrCxfKmTh1LP1baRwPS+a7+jE38NCEqhWlQe1EsoKSP3eK5533Ca/+SR3GPdrJT1fdpGvT+YwEzPt5/2u1dqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07b25f7f535f94d1eb157966498cfb3a9632a1ad0d3656f6d9528ffd1fb7364","last_reissued_at":"2026-05-18T01:09:30.784716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:30.784716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superfluid transition in the attractive Hofstadter-Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.quant-gas","authors_text":"M. Iskin, R. O. Umucalilar","submitted_at":"2016-05-24T12:44:17Z","abstract_excerpt":"We consider a Fermi gas that is loaded onto a square optical lattice and subjected to a perpendicular artificial magnetic field, and determine its superfluid transition boundary by adopting a BCS-like mean-field approach in momentum space. The multi-band structure of the single-particle Hofstadter spectrum is taken explicitly into account while deriving a generalized pairing equation. We present the numerical solutions as functions of the artificial magnetic flux, interaction strength, Zeeman field, chemical potential, and temperature, with a special emphasis on the roles played by the density"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07426","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":"1605.07426","created_at":"2026-05-18T01:09:30.784779+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.07426v2","created_at":"2026-05-18T01:09:30.784779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07426","created_at":"2026-05-18T01:09:30.784779+00:00"},{"alias_kind":"pith_short_12","alias_value":"WB5SL57VGX4U","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"WB5SL57VGX4U2HVR","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"WB5SL57V","created_at":"2026-05-18T12:30:48.956258+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/WB5SL57VGX4U2HVRK6LGJGGPWO","json":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO.json","graph_json":"https://pith.science/api/pith-number/WB5SL57VGX4U2HVRK6LGJGGPWO/graph.json","events_json":"https://pith.science/api/pith-number/WB5SL57VGX4U2HVRK6LGJGGPWO/events.json","paper":"https://pith.science/paper/WB5SL57V"},"agent_actions":{"view_html":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO","download_json":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO.json","view_paper":"https://pith.science/paper/WB5SL57V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.07426&json=true","fetch_graph":"https://pith.science/api/pith-number/WB5SL57VGX4U2HVRK6LGJGGPWO/graph.json","fetch_events":"https://pith.science/api/pith-number/WB5SL57VGX4U2HVRK6LGJGGPWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO/action/storage_attestation","attest_author":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO/action/author_attestation","sign_citation":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO/action/citation_signature","submit_replication":"https://pith.science/pith/WB5SL57VGX4U2HVRK6LGJGGPWO/action/replication_record"}},"created_at":"2026-05-18T01:09:30.784779+00:00","updated_at":"2026-05-18T01:09:30.784779+00:00"}