{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:4SBART2ZTTOG22QLQ3OHWTEUIO","short_pith_number":"pith:4SBART2Z","schema_version":"1.0","canonical_sha256":"e48208cf599cdc6d6a0b86dc7b4c94438ce8fa81413cb9fcbfbac86e1acb7413","source":{"kind":"arxiv","id":"2409.17297","version":2},"attestation_state":"computed","paper":{"title":"Multi-band superconductors have enhanced critical temperatures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con","math.MP"],"primary_cat":"math-ph","authors_text":"Asbj{\\o}rn B{\\ae}kgaard Lauritsen, Edwin Langmann, Joscha Henheik","submitted_at":"2024-09-25T19:16:40Z","abstract_excerpt":"We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, irrespective of its attractive or repulsive nature and its strength. Further, for weak coupling and weaker inter-band coupling, we prove that the dependence of the increase in critical temperature on the inter-band coupling is (1) linear, if there are two or more equally strongly superconducting bands, or (2) quadratic, if there is only one dominating band."},"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":"2409.17297","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-25T19:16:40Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con","math.MP"],"title_canon_sha256":"4d3991617993239be1725eb43ce1b366cd26f253c82430f3634185fcc5f61afb","abstract_canon_sha256":"129ee6c9ffba7bdd5cd3d6a913327dd934a1cfbba898c11354dde2a1b22539c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:23:12.783876Z","signature_b64":"JcU20XFekNyool1X4BGadU3bvyNRVY1jxa0yb4SqO09Mheo90KKvatdMNVgrqXVZH5QDNZWko8gM/kqYgyxSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e48208cf599cdc6d6a0b86dc7b4c94438ce8fa81413cb9fcbfbac86e1acb7413","last_reissued_at":"2026-07-05T09:23:12.783403Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:23:12.783403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-band superconductors have enhanced critical temperatures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con","math.MP"],"primary_cat":"math-ph","authors_text":"Asbj{\\o}rn B{\\ae}kgaard Lauritsen, Edwin Langmann, Joscha Henheik","submitted_at":"2024-09-25T19:16:40Z","abstract_excerpt":"We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, irrespective of its attractive or repulsive nature and its strength. Further, for weak coupling and weaker inter-band coupling, we prove that the dependence of the increase in critical temperature on the inter-band coupling is (1) linear, if there are two or more equally strongly superconducting bands, or (2) quadratic, if there is only one dominating band."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.17297","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.17297/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2409.17297","created_at":"2026-07-05T09:23:12.783461+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.17297v2","created_at":"2026-07-05T09:23:12.783461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.17297","created_at":"2026-07-05T09:23:12.783461+00:00"},{"alias_kind":"pith_short_12","alias_value":"4SBART2ZTTOG","created_at":"2026-07-05T09:23:12.783461+00:00"},{"alias_kind":"pith_short_16","alias_value":"4SBART2ZTTOG22QL","created_at":"2026-07-05T09:23:12.783461+00:00"},{"alias_kind":"pith_short_8","alias_value":"4SBART2Z","created_at":"2026-07-05T09:23:12.783461+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.19932","citing_title":"Enhancement of the superconducting transition temperature due to multiband effect in the topological nodal-line semimetal Pb$_{1-x}$Sn$_{x}$TaSe$_{2}$","ref_index":41,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO","json":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO.json","graph_json":"https://pith.science/api/pith-number/4SBART2ZTTOG22QLQ3OHWTEUIO/graph.json","events_json":"https://pith.science/api/pith-number/4SBART2ZTTOG22QLQ3OHWTEUIO/events.json","paper":"https://pith.science/paper/4SBART2Z"},"agent_actions":{"view_html":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO","download_json":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO.json","view_paper":"https://pith.science/paper/4SBART2Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.17297&json=true","fetch_graph":"https://pith.science/api/pith-number/4SBART2ZTTOG22QLQ3OHWTEUIO/graph.json","fetch_events":"https://pith.science/api/pith-number/4SBART2ZTTOG22QLQ3OHWTEUIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO/action/storage_attestation","attest_author":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO/action/author_attestation","sign_citation":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO/action/citation_signature","submit_replication":"https://pith.science/pith/4SBART2ZTTOG22QLQ3OHWTEUIO/action/replication_record"}},"created_at":"2026-07-05T09:23:12.783461+00:00","updated_at":"2026-07-05T09:23:12.783461+00:00"}