{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KKWB6VSJVB6FGS5246YRLLNF77","short_pith_number":"pith:KKWB6VSJ","schema_version":"1.0","canonical_sha256":"52ac1f5649a87c534bbae7b115ada5ffef53a0490856e2500b6f3434f2fc70b0","source":{"kind":"arxiv","id":"1506.01435","version":1},"attestation_state":"computed","paper":{"title":"$SO(3)$-Floer homology of 3-manifolds with boundary 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.GT"],"primary_cat":"math.SG","authors_text":"Kenji Fukaya","submitted_at":"2015-06-03T23:51:33Z","abstract_excerpt":"In this paper the author discuss the relation between Lagrangian Floer homology and Gauge-theory (Donaldson theory) Floer homology. It can be regarded as a version of Atiyah-Floer type conjecture in the case of $SO(3)$-bundle with non-trivial second Stiefel-Whitney class. This is a first of a series of papers, where we describe the main results and geometric and algebraic parts of the proof. The half of analytic detail was in [Fu5] which was published in 1998. The other half will appear in subsequent papers."},"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":"1506.01435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-06-03T23:51:33Z","cross_cats_sorted":["math.DG","math.GT"],"title_canon_sha256":"65489c30cc900a95af29d97ad147514b90018fc4b63f330e90008f6eeccfb6d6","abstract_canon_sha256":"e652aa33c9470f026cb0519fa9b96cc07eb341e38ad96718171f53f30b45d16b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:41.414939Z","signature_b64":"HgftrRGJz2DXAvC5S0F40fy63FN9j3LffcSjvIQDuUH0JFHPwz/mp/At39n4hiJuM1tIsJmfY3E4L1LfXtvUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52ac1f5649a87c534bbae7b115ada5ffef53a0490856e2500b6f3434f2fc70b0","last_reissued_at":"2026-05-18T01:57:41.414334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:41.414334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$SO(3)$-Floer homology of 3-manifolds with boundary 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.GT"],"primary_cat":"math.SG","authors_text":"Kenji Fukaya","submitted_at":"2015-06-03T23:51:33Z","abstract_excerpt":"In this paper the author discuss the relation between Lagrangian Floer homology and Gauge-theory (Donaldson theory) Floer homology. It can be regarded as a version of Atiyah-Floer type conjecture in the case of $SO(3)$-bundle with non-trivial second Stiefel-Whitney class. This is a first of a series of papers, where we describe the main results and geometric and algebraic parts of the proof. The half of analytic detail was in [Fu5] which was published in 1998. The other half will appear in subsequent papers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01435","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":"1506.01435","created_at":"2026-05-18T01:57:41.414430+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01435v1","created_at":"2026-05-18T01:57:41.414430+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01435","created_at":"2026-05-18T01:57:41.414430+00:00"},{"alias_kind":"pith_short_12","alias_value":"KKWB6VSJVB6F","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KKWB6VSJVB6FGS52","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KKWB6VSJ","created_at":"2026-05-18T12:29:29.992203+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/KKWB6VSJVB6FGS5246YRLLNF77","json":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77.json","graph_json":"https://pith.science/api/pith-number/KKWB6VSJVB6FGS5246YRLLNF77/graph.json","events_json":"https://pith.science/api/pith-number/KKWB6VSJVB6FGS5246YRLLNF77/events.json","paper":"https://pith.science/paper/KKWB6VSJ"},"agent_actions":{"view_html":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77","download_json":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77.json","view_paper":"https://pith.science/paper/KKWB6VSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01435&json=true","fetch_graph":"https://pith.science/api/pith-number/KKWB6VSJVB6FGS5246YRLLNF77/graph.json","fetch_events":"https://pith.science/api/pith-number/KKWB6VSJVB6FGS5246YRLLNF77/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77/action/storage_attestation","attest_author":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77/action/author_attestation","sign_citation":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77/action/citation_signature","submit_replication":"https://pith.science/pith/KKWB6VSJVB6FGS5246YRLLNF77/action/replication_record"}},"created_at":"2026-05-18T01:57:41.414430+00:00","updated_at":"2026-05-18T01:57:41.414430+00:00"}