{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3RYCQ4ZR7B5BQHIG4PB4MHZ6S6","short_pith_number":"pith:3RYCQ4ZR","schema_version":"1.0","canonical_sha256":"dc70287331f87a181d06e3c3c61f3e97a554dd368d21bcfe54c7bbf0b4172241","source":{"kind":"arxiv","id":"1908.00430","version":3},"attestation_state":"computed","paper":{"title":"Geometric analysis of the Yang-Mills-Higgs-Dirac model","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.AP","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Enno Ke{\\ss}ler, J\\\"urgen Jost, Miaomiao Zhu, Ruijun Wu","submitted_at":"2019-08-01T14:25:59Z","abstract_excerpt":"The harmonic sections of the Kaluza-Klein model can be seen as a variant of harmonic maps with additional gauge symmetry. Geometrically, they are realized as sections of a fiber bundle associated to a principal bundle with a connection. In this paper, we investigate geometric and analytic aspects of a model that combines the Kaluza-Klein model with the Yang-Mills action and a Dirac action for twisted spinors. In dimension two we show that weak solutions of the Euler-Lagrange system are smooth. For a sequence of approximate solutions on surfaces with uniformly bounded energies we obtain compact"},"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":"1908.00430","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2019-08-01T14:25:59Z","cross_cats_sorted":["math.AP","math.DG","math.MP"],"title_canon_sha256":"09d68585d1aa3f2c4675595694c8146e167d5e2ba4212492ba1120faad11c481","abstract_canon_sha256":"8766faaa2b2a7e8c14814a8ad054f8ba1da2c3683ccaee65333fc0d558fabeab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:00:34.529834Z","signature_b64":"hGMlYWRs0LvfN6/Inlm3R1/nEp5IDdinlPQU+bP1qaNFwq6Rinpc+WsaDooo6/3O5F5tn4u989f33ZLPu4DhBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc70287331f87a181d06e3c3c61f3e97a554dd368d21bcfe54c7bbf0b4172241","last_reissued_at":"2026-07-05T05:00:34.529481Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:00:34.529481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric analysis of the Yang-Mills-Higgs-Dirac model","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.AP","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Enno Ke{\\ss}ler, J\\\"urgen Jost, Miaomiao Zhu, Ruijun Wu","submitted_at":"2019-08-01T14:25:59Z","abstract_excerpt":"The harmonic sections of the Kaluza-Klein model can be seen as a variant of harmonic maps with additional gauge symmetry. Geometrically, they are realized as sections of a fiber bundle associated to a principal bundle with a connection. In this paper, we investigate geometric and analytic aspects of a model that combines the Kaluza-Klein model with the Yang-Mills action and a Dirac action for twisted spinors. In dimension two we show that weak solutions of the Euler-Lagrange system are smooth. For a sequence of approximate solutions on surfaces with uniformly bounded energies we obtain compact"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00430","kind":"arxiv","version":3},"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/1908.00430/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":"1908.00430","created_at":"2026-07-05T05:00:34.529543+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.00430v3","created_at":"2026-07-05T05:00:34.529543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00430","created_at":"2026-07-05T05:00:34.529543+00:00"},{"alias_kind":"pith_short_12","alias_value":"3RYCQ4ZR7B5B","created_at":"2026-07-05T05:00:34.529543+00:00"},{"alias_kind":"pith_short_16","alias_value":"3RYCQ4ZR7B5BQHIG","created_at":"2026-07-05T05:00:34.529543+00:00"},{"alias_kind":"pith_short_8","alias_value":"3RYCQ4ZR","created_at":"2026-07-05T05:00:34.529543+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/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6","json":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6.json","graph_json":"https://pith.science/api/pith-number/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/graph.json","events_json":"https://pith.science/api/pith-number/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/events.json","paper":"https://pith.science/paper/3RYCQ4ZR"},"agent_actions":{"view_html":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6","download_json":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6.json","view_paper":"https://pith.science/paper/3RYCQ4ZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.00430&json=true","fetch_graph":"https://pith.science/api/pith-number/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/graph.json","fetch_events":"https://pith.science/api/pith-number/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/action/storage_attestation","attest_author":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/action/author_attestation","sign_citation":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/action/citation_signature","submit_replication":"https://pith.science/pith/3RYCQ4ZR7B5BQHIG4PB4MHZ6S6/action/replication_record"}},"created_at":"2026-07-05T05:00:34.529543+00:00","updated_at":"2026-07-05T05:00:34.529543+00:00"}