{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZHY5FCI5LBL5Y5CBNOW2TUPF6L","short_pith_number":"pith:ZHY5FCI5","schema_version":"1.0","canonical_sha256":"c9f1d2891d5857dc74416bada9d1e5f2c2d1822f5d44c5b3af9f168825083700","source":{"kind":"arxiv","id":"1611.05747","version":1},"attestation_state":"computed","paper":{"title":"Landau Levels in Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Falk Bruckmann, Ferenc Pittler, Gergely Endrodi, Jacob Wellnhofer, Matteo Giordano, Sandor D. Katz, Tamas G. Kovacs","submitted_at":"2016-11-17T15:59:03Z","abstract_excerpt":"The spectrum of the two-dimensional continuum Dirac operator in the presence of a uniform background magnetic field consists of Landau levels, which are degenerate and separated by gaps. On the lattice the Landau levels are spread out by discretization artefacts, but a remnant of their structure is clearly visible (Hofstadter butterfly). If one switches on a non-Abelian interaction, the butterfly structure will be smeared out, but the lowest Landau level (LLL) will still be separated by a gap from the rest of the spectrum. In this talk we discuss how one can define the LLL in QCD and check how"},"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":"1611.05747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-17T15:59:03Z","cross_cats_sorted":[],"title_canon_sha256":"01e0c6742b828f2e61ab23951e1c7a351fd9fa50f1b86e21ef202613ab2faeb0","abstract_canon_sha256":"0a811cb7a8b85718576c0d4cfcc8111d14b1c0c743259dada59be93dfd673a01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:02.695291Z","signature_b64":"nCC6UnaDyF/pHL/YyTdcmJRJCQxS50s8t29W+MrIHEUIqheHuubhDcr850P8Rgo4aVvV4lryjpDcrnO3dU2HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9f1d2891d5857dc74416bada9d1e5f2c2d1822f5d44c5b3af9f168825083700","last_reissued_at":"2026-05-18T00:58:02.694614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:02.694614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Landau Levels in Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Falk Bruckmann, Ferenc Pittler, Gergely Endrodi, Jacob Wellnhofer, Matteo Giordano, Sandor D. Katz, Tamas G. Kovacs","submitted_at":"2016-11-17T15:59:03Z","abstract_excerpt":"The spectrum of the two-dimensional continuum Dirac operator in the presence of a uniform background magnetic field consists of Landau levels, which are degenerate and separated by gaps. On the lattice the Landau levels are spread out by discretization artefacts, but a remnant of their structure is clearly visible (Hofstadter butterfly). If one switches on a non-Abelian interaction, the butterfly structure will be smeared out, but the lowest Landau level (LLL) will still be separated by a gap from the rest of the spectrum. In this talk we discuss how one can define the LLL in QCD and check how"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05747","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":"1611.05747","created_at":"2026-05-18T00:58:02.694732+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.05747v1","created_at":"2026-05-18T00:58:02.694732+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05747","created_at":"2026-05-18T00:58:02.694732+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHY5FCI5LBL5","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHY5FCI5LBL5Y5CB","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHY5FCI5","created_at":"2026-05-18T12:30:53.716459+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/ZHY5FCI5LBL5Y5CBNOW2TUPF6L","json":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L.json","graph_json":"https://pith.science/api/pith-number/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/graph.json","events_json":"https://pith.science/api/pith-number/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/events.json","paper":"https://pith.science/paper/ZHY5FCI5"},"agent_actions":{"view_html":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L","download_json":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L.json","view_paper":"https://pith.science/paper/ZHY5FCI5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.05747&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/action/storage_attestation","attest_author":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/action/author_attestation","sign_citation":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/action/citation_signature","submit_replication":"https://pith.science/pith/ZHY5FCI5LBL5Y5CBNOW2TUPF6L/action/replication_record"}},"created_at":"2026-05-18T00:58:02.694732+00:00","updated_at":"2026-05-18T00:58:02.694732+00:00"}