{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HQ7XKD2V7ASPEA3DIEF2RZFEVZ","short_pith_number":"pith:HQ7XKD2V","schema_version":"1.0","canonical_sha256":"3c3f750f55f824f20363410ba8e4a4ae730d6d3bc9586247c315fe4da5541f26","source":{"kind":"arxiv","id":"2007.16205","version":1},"attestation_state":"computed","paper":{"title":"Geometric Superconductivity in 3D Hofstadter Butterfly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Moon Jip Park, SungBin Lee, Yong Baek Kim","submitted_at":"2020-07-31T17:57:56Z","abstract_excerpt":"Electrons on the lattice subject to a strong magnetic field exhibit the fractal spectrum of electrons, which is known as the Hofstadter butterfly. In this work, we investigate unconventional superconductivity in a three-dimensional Hofstadter butterfly system. While it is generally difficult to achieve the Hofstadter regime, we show that the quasi-two-dimensional materials with a tilted magnetic field produce the large-scale superlattices, which generate the Hofstadter butterfly even at the moderate magnetic field strength. We first show that the van-Hove singularities of the butterfly flat ba"},"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":"2007.16205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2020-07-31T17:57:56Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"361811ecdf0b77ba32c9899301d5f023f0b557a978773336826f777395efd2e2","abstract_canon_sha256":"2fcfd11066ccd6771215d3139232517f7676c81bdbf14517fc91753fe43be1ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:23:50.853264Z","signature_b64":"2Bp+UYi3HD7mI01ILgVz2h/u94S3iWKJKgtf3Sw7PAWx1Qn70n/KEsBK0RaUBQ+SmO8EtKh5YeOuG4Q4nKz9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c3f750f55f824f20363410ba8e4a4ae730d6d3bc9586247c315fe4da5541f26","last_reissued_at":"2026-07-05T01:23:50.851556Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:23:50.851556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Superconductivity in 3D Hofstadter Butterfly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Moon Jip Park, SungBin Lee, Yong Baek Kim","submitted_at":"2020-07-31T17:57:56Z","abstract_excerpt":"Electrons on the lattice subject to a strong magnetic field exhibit the fractal spectrum of electrons, which is known as the Hofstadter butterfly. In this work, we investigate unconventional superconductivity in a three-dimensional Hofstadter butterfly system. While it is generally difficult to achieve the Hofstadter regime, we show that the quasi-two-dimensional materials with a tilted magnetic field produce the large-scale superlattices, which generate the Hofstadter butterfly even at the moderate magnetic field strength. We first show that the van-Hove singularities of the butterfly flat ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.16205","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.16205/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":"2007.16205","created_at":"2026-07-05T01:23:50.852577+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.16205v1","created_at":"2026-07-05T01:23:50.852577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.16205","created_at":"2026-07-05T01:23:50.852577+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQ7XKD2V7ASP","created_at":"2026-07-05T01:23:50.852577+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQ7XKD2V7ASPEA3D","created_at":"2026-07-05T01:23:50.852577+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQ7XKD2V","created_at":"2026-07-05T01:23:50.852577+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.19332","citing_title":"Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points","ref_index":68,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ","json":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ.json","graph_json":"https://pith.science/api/pith-number/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/graph.json","events_json":"https://pith.science/api/pith-number/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/events.json","paper":"https://pith.science/paper/HQ7XKD2V"},"agent_actions":{"view_html":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ","download_json":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ.json","view_paper":"https://pith.science/paper/HQ7XKD2V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.16205&json=true","fetch_graph":"https://pith.science/api/pith-number/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/action/storage_attestation","attest_author":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/action/author_attestation","sign_citation":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/action/citation_signature","submit_replication":"https://pith.science/pith/HQ7XKD2V7ASPEA3DIEF2RZFEVZ/action/replication_record"}},"created_at":"2026-07-05T01:23:50.852577+00:00","updated_at":"2026-07-05T01:23:50.852577+00:00"}