{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WH5FZWDPPU6T4KXD7U3IO56BOL","short_pith_number":"pith:WH5FZWDP","schema_version":"1.0","canonical_sha256":"b1fa5cd86f7d3d3e2ae3fd368777c172dbc363ae4056b8c04ebdc9f847b14688","source":{"kind":"arxiv","id":"2411.10392","version":1},"attestation_state":"computed","paper":{"title":"Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Haochen Qiu","submitted_at":"2024-11-15T18:01:05Z","abstract_excerpt":"We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena."},"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":"2411.10392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2024-11-15T18:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"550b82f9433e6719628ed8582c56c2233bbecff04eefd9d180155a2dd46c08d3","abstract_canon_sha256":"e92cd9a5b3c95e4dfecb244cc2e8e9cd85e3863421f65e972fa9baafa5739da2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:04.596052Z","signature_b64":"emyLXllSL15dZl6sAyP0oQ6NnSr1k5yzxGu3zajptGmimuvl74rvZDayldzmtb48bPf8T9TIPjCx8Mi2/MjoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1fa5cd86f7d3d3e2ae3fd368777c172dbc363ae4056b8c04ebdc9f847b14688","last_reissued_at":"2026-07-05T09:36:04.595481Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:04.595481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Haochen Qiu","submitted_at":"2024-11-15T18:01:05Z","abstract_excerpt":"We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10392","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.10392/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":"2411.10392","created_at":"2026-07-05T09:36:04.595554+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.10392v1","created_at":"2026-07-05T09:36:04.595554+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10392","created_at":"2026-07-05T09:36:04.595554+00:00"},{"alias_kind":"pith_short_12","alias_value":"WH5FZWDPPU6T","created_at":"2026-07-05T09:36:04.595554+00:00"},{"alias_kind":"pith_short_16","alias_value":"WH5FZWDPPU6T4KXD","created_at":"2026-07-05T09:36:04.595554+00:00"},{"alias_kind":"pith_short_8","alias_value":"WH5FZWDP","created_at":"2026-07-05T09:36:04.595554+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.14398","citing_title":"Irreducible 4-manifolds can admit exotic diffeomorphisms","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL","json":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL.json","graph_json":"https://pith.science/api/pith-number/WH5FZWDPPU6T4KXD7U3IO56BOL/graph.json","events_json":"https://pith.science/api/pith-number/WH5FZWDPPU6T4KXD7U3IO56BOL/events.json","paper":"https://pith.science/paper/WH5FZWDP"},"agent_actions":{"view_html":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL","download_json":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL.json","view_paper":"https://pith.science/paper/WH5FZWDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.10392&json=true","fetch_graph":"https://pith.science/api/pith-number/WH5FZWDPPU6T4KXD7U3IO56BOL/graph.json","fetch_events":"https://pith.science/api/pith-number/WH5FZWDPPU6T4KXD7U3IO56BOL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL/action/storage_attestation","attest_author":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL/action/author_attestation","sign_citation":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL/action/citation_signature","submit_replication":"https://pith.science/pith/WH5FZWDPPU6T4KXD7U3IO56BOL/action/replication_record"}},"created_at":"2026-07-05T09:36:04.595554+00:00","updated_at":"2026-07-05T09:36:04.595554+00:00"}