{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HWO7QLMFWFZ6DIO775TRPAD7SI","short_pith_number":"pith:HWO7QLMF","schema_version":"1.0","canonical_sha256":"3d9df82d85b173e1a1dfff6717807f92274684bbeeb3791624ed0fa1acf1ddcc","source":{"kind":"arxiv","id":"1403.0780","version":3},"attestation_state":"computed","paper":{"title":"Convergence of Yang-Mills-Higgs fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Chong Song","submitted_at":"2014-03-04T13:16:44Z","abstract_excerpt":"In this paper, we study the convergence of Yang-Mills-Higgs fields defined on fiber bundles over Riemann surfaces where the fiber is a compact symplectic manifold and the conformal structure of the Riemann surface is allowed to vary. We show that away from the nodes, the YMH fields converges, up to gauge, to a smooth YMH field modulo finitely many harmonic spheres, while near the nodes where the conformal structure degenerates, the YMH fields converges to a pair consisting of a flat connection and a twisted geodesic (with potential) after finitely many times of blowing-up's. In particular, we "},"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":"1403.0780","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-04T13:16:44Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"6b319a6954f505ecb401ea63747536b4852445096d76dcaf8f09304b793b0598","abstract_canon_sha256":"18d08c8cbd63aefa4a3938eb9af4e8d6f8c3ce5632553486f14161b2644719a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:03.294672Z","signature_b64":"AnseSWal4HeWICsNg8QfYg/mjAofYBpD2dZ2toy/8fCGUxVMmfaRrHeIPgk2Yo0lZy8QNBVrn4OVrdiSeLTpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d9df82d85b173e1a1dfff6717807f92274684bbeeb3791624ed0fa1acf1ddcc","last_reissued_at":"2026-05-18T02:40:03.294170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:03.294170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of Yang-Mills-Higgs fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Chong Song","submitted_at":"2014-03-04T13:16:44Z","abstract_excerpt":"In this paper, we study the convergence of Yang-Mills-Higgs fields defined on fiber bundles over Riemann surfaces where the fiber is a compact symplectic manifold and the conformal structure of the Riemann surface is allowed to vary. We show that away from the nodes, the YMH fields converges, up to gauge, to a smooth YMH field modulo finitely many harmonic spheres, while near the nodes where the conformal structure degenerates, the YMH fields converges to a pair consisting of a flat connection and a twisted geodesic (with potential) after finitely many times of blowing-up's. In particular, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0780","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":""},"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":"1403.0780","created_at":"2026-05-18T02:40:03.294247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0780v3","created_at":"2026-05-18T02:40:03.294247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0780","created_at":"2026-05-18T02:40:03.294247+00:00"},{"alias_kind":"pith_short_12","alias_value":"HWO7QLMFWFZ6","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HWO7QLMFWFZ6DIO7","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HWO7QLMF","created_at":"2026-05-18T12:28:30.664211+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/HWO7QLMFWFZ6DIO775TRPAD7SI","json":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI.json","graph_json":"https://pith.science/api/pith-number/HWO7QLMFWFZ6DIO775TRPAD7SI/graph.json","events_json":"https://pith.science/api/pith-number/HWO7QLMFWFZ6DIO775TRPAD7SI/events.json","paper":"https://pith.science/paper/HWO7QLMF"},"agent_actions":{"view_html":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI","download_json":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI.json","view_paper":"https://pith.science/paper/HWO7QLMF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0780&json=true","fetch_graph":"https://pith.science/api/pith-number/HWO7QLMFWFZ6DIO775TRPAD7SI/graph.json","fetch_events":"https://pith.science/api/pith-number/HWO7QLMFWFZ6DIO775TRPAD7SI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI/action/storage_attestation","attest_author":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI/action/author_attestation","sign_citation":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI/action/citation_signature","submit_replication":"https://pith.science/pith/HWO7QLMFWFZ6DIO775TRPAD7SI/action/replication_record"}},"created_at":"2026-05-18T02:40:03.294247+00:00","updated_at":"2026-05-18T02:40:03.294247+00:00"}