{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KGM5SZ3T3ENIBMOB7CCFH2AS4A","short_pith_number":"pith:KGM5SZ3T","schema_version":"1.0","canonical_sha256":"5199d96773d91a80b1c1f88453e812e01880e0fda67a338caf1845f598e0d8d8","source":{"kind":"arxiv","id":"1703.06584","version":6},"attestation_state":"computed","paper":{"title":"On a topology property for the moduli space of Kapustin-Witten equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Teng Huang","submitted_at":"2017-03-20T03:46:05Z","abstract_excerpt":"In this article, we study the Kapustin-Witten equations on a closed, simply-connected, four-dimensional manifold which were introduced by Kapustin and Witten. We use the Taubes' compactness theorem in arXiv:1307.6447v4 to prove that if $(A,\\phi)$ is a smooth solution of Kapustin-Witten equations and the connection $A$ is closed to a $generic$ ASD connection $A_{\\infty}$, then $(A,\\phi)$ must be a trivial solution. We also prove that the moduli space of the solutions of Kapustin-Witten equations is non-connected if the connections on the compactification of moduli space of ASD connections are a"},"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":"1703.06584","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-20T03:46:05Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"e58f03bd87243fcbe4f32f971d12ff0b2a5d41d535a7fd1f88897882172149ef","abstract_canon_sha256":"e0fababbfc931061ce19bf9304e4c679e8038cb9a360ef9776cac045ea4216c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:16.256183Z","signature_b64":"tEfnwGh3jhO84SwYLxTC34tBGZA+n28d5KuStKLU2xVXowsSULiAxg7APKpX4Ax+p6q/6plp3eOweQ2n8lAcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5199d96773d91a80b1c1f88453e812e01880e0fda67a338caf1845f598e0d8d8","last_reissued_at":"2026-05-17T23:47:16.255803Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:16.255803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a topology property for the moduli space of Kapustin-Witten equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Teng Huang","submitted_at":"2017-03-20T03:46:05Z","abstract_excerpt":"In this article, we study the Kapustin-Witten equations on a closed, simply-connected, four-dimensional manifold which were introduced by Kapustin and Witten. We use the Taubes' compactness theorem in arXiv:1307.6447v4 to prove that if $(A,\\phi)$ is a smooth solution of Kapustin-Witten equations and the connection $A$ is closed to a $generic$ ASD connection $A_{\\infty}$, then $(A,\\phi)$ must be a trivial solution. We also prove that the moduli space of the solutions of Kapustin-Witten equations is non-connected if the connections on the compactification of moduli space of ASD connections are a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06584","kind":"arxiv","version":6},"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":"1703.06584","created_at":"2026-05-17T23:47:16.255865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.06584v6","created_at":"2026-05-17T23:47:16.255865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06584","created_at":"2026-05-17T23:47:16.255865+00:00"},{"alias_kind":"pith_short_12","alias_value":"KGM5SZ3T3ENI","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KGM5SZ3T3ENIBMOB","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KGM5SZ3T","created_at":"2026-05-18T12:31:24.725408+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/KGM5SZ3T3ENIBMOB7CCFH2AS4A","json":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A.json","graph_json":"https://pith.science/api/pith-number/KGM5SZ3T3ENIBMOB7CCFH2AS4A/graph.json","events_json":"https://pith.science/api/pith-number/KGM5SZ3T3ENIBMOB7CCFH2AS4A/events.json","paper":"https://pith.science/paper/KGM5SZ3T"},"agent_actions":{"view_html":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A","download_json":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A.json","view_paper":"https://pith.science/paper/KGM5SZ3T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.06584&json=true","fetch_graph":"https://pith.science/api/pith-number/KGM5SZ3T3ENIBMOB7CCFH2AS4A/graph.json","fetch_events":"https://pith.science/api/pith-number/KGM5SZ3T3ENIBMOB7CCFH2AS4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A/action/storage_attestation","attest_author":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A/action/author_attestation","sign_citation":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A/action/citation_signature","submit_replication":"https://pith.science/pith/KGM5SZ3T3ENIBMOB7CCFH2AS4A/action/replication_record"}},"created_at":"2026-05-17T23:47:16.255865+00:00","updated_at":"2026-05-17T23:47:16.255865+00:00"}