{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:I7O3NSFVPXQFUEVARLDUST4QX2","short_pith_number":"pith:I7O3NSFV","schema_version":"1.0","canonical_sha256":"47ddb6c8b57de05a12a08ac7494f90be9574f66a47f43d17c0ab40d730d29b1c","source":{"kind":"arxiv","id":"0712.2202","version":3},"attestation_state":"computed","paper":{"title":"Wrinkled fibrations on near-symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Yanki Lekili","submitted_at":"2007-12-13T20:44:23Z","abstract_excerpt":"Motivated by the programmes initiated by Taubes and Perutz, we study the geometry of near-symplectic 4-manifolds, i.e., manifolds equipped with a closed 2-form which is symplectic outside a union of embedded 1-dimensional submanifolds, and broken Lefschetz fibrations on them. We present a set of four moves which allow us to pass from any given fibration to any other broken fibration which is deformation equivalent to it. Moreover, we study the change of the near-symplectic geometry under each of these moves. The arguments rely on the introduction of a more general class of maps, which we call "},"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":"0712.2202","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2007-12-13T20:44:23Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"f07a6797cfc03feead3cd15945d0ce688f1f87d367d19d8f8b715c188296c045","abstract_canon_sha256":"bc973a9bea5f7ea82c495e0bd6128ab267f4ae7ae62975ae56f9b2001a4e1fbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:19.266028Z","signature_b64":"Y77ric21VR4MbRksJJnZEde+hB9TuOT3XkS41xr82FdJd7F5/G1AetEjycIkUoJqXICizumkUoTU4Mh1k1Q2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47ddb6c8b57de05a12a08ac7494f90be9574f66a47f43d17c0ab40d730d29b1c","last_reissued_at":"2026-05-18T02:38:19.265474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:19.265474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wrinkled fibrations on near-symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Yanki Lekili","submitted_at":"2007-12-13T20:44:23Z","abstract_excerpt":"Motivated by the programmes initiated by Taubes and Perutz, we study the geometry of near-symplectic 4-manifolds, i.e., manifolds equipped with a closed 2-form which is symplectic outside a union of embedded 1-dimensional submanifolds, and broken Lefschetz fibrations on them. We present a set of four moves which allow us to pass from any given fibration to any other broken fibration which is deformation equivalent to it. Moreover, we study the change of the near-symplectic geometry under each of these moves. The arguments rely on the introduction of a more general class of maps, which we call "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2202","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":"0712.2202","created_at":"2026-05-18T02:38:19.265578+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.2202v3","created_at":"2026-05-18T02:38:19.265578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.2202","created_at":"2026-05-18T02:38:19.265578+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7O3NSFVPXQF","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7O3NSFVPXQFUEVA","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7O3NSFV","created_at":"2026-05-18T12:25:55.427421+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/I7O3NSFVPXQFUEVARLDUST4QX2","json":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2.json","graph_json":"https://pith.science/api/pith-number/I7O3NSFVPXQFUEVARLDUST4QX2/graph.json","events_json":"https://pith.science/api/pith-number/I7O3NSFVPXQFUEVARLDUST4QX2/events.json","paper":"https://pith.science/paper/I7O3NSFV"},"agent_actions":{"view_html":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2","download_json":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2.json","view_paper":"https://pith.science/paper/I7O3NSFV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.2202&json=true","fetch_graph":"https://pith.science/api/pith-number/I7O3NSFVPXQFUEVARLDUST4QX2/graph.json","fetch_events":"https://pith.science/api/pith-number/I7O3NSFVPXQFUEVARLDUST4QX2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2/action/storage_attestation","attest_author":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2/action/author_attestation","sign_citation":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2/action/citation_signature","submit_replication":"https://pith.science/pith/I7O3NSFVPXQFUEVARLDUST4QX2/action/replication_record"}},"created_at":"2026-05-18T02:38:19.265578+00:00","updated_at":"2026-05-18T02:38:19.265578+00:00"}