{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:NRMUNP2QSV4QQ2UU6LGPAVTTVV","short_pith_number":"pith:NRMUNP2Q","schema_version":"1.0","canonical_sha256":"6c5946bf509579086a94f2ccf05673ad665f411afb6872fa07e889d53a7b9b56","source":{"kind":"arxiv","id":"1003.2200","version":5},"attestation_state":"computed","paper":{"title":"Lefschetz Fibrations on Compact Stein Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"M. Firat Arikan, Selman Akbulut","submitted_at":"2010-03-10T20:53:11Z","abstract_excerpt":"Here we prove that up to diffeomorphism every compact Stein manifold W of dimension 2n+2>4 admits a Lefschetz fibration over the two-disk with Stein regular fibers, such that the monodromy of the fibration is a symplectomorphism induced by compositions of right-handed Dehn twists along embedded Lagrangian n-spheres on the generic fiber. This generalizes the Stein surface case of n=1, previously proven by Loi-Piergallini and Akbulut-Ozbagci. More precisely, we show that up to Liouville isomorphism any Weinstein domain W admits a compatible compact convex Lefschetz fibration with Weinstein regul"},"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":"1003.2200","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-03-10T20:53:11Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"54266b431fad7b834d28e6a8000920520dea2c0388334164907ac1bba8a1c8cc","abstract_canon_sha256":"15c504f19d60f40ffcdf6b4fc815d458d2b6359a2b29fcd5b84f9d224f255273"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:27.994923Z","signature_b64":"JpkWNHFk0d7cViisHkaoTem5zFJ8DmlRLEiNwfk7cXnIzRjaBb23/W/HdDSoggk7iIUZJcjheeIcTVLXswAEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c5946bf509579086a94f2ccf05673ad665f411afb6872fa07e889d53a7b9b56","last_reissued_at":"2026-05-18T00:20:27.994339Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:27.994339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lefschetz Fibrations on Compact Stein Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"M. Firat Arikan, Selman Akbulut","submitted_at":"2010-03-10T20:53:11Z","abstract_excerpt":"Here we prove that up to diffeomorphism every compact Stein manifold W of dimension 2n+2>4 admits a Lefschetz fibration over the two-disk with Stein regular fibers, such that the monodromy of the fibration is a symplectomorphism induced by compositions of right-handed Dehn twists along embedded Lagrangian n-spheres on the generic fiber. This generalizes the Stein surface case of n=1, previously proven by Loi-Piergallini and Akbulut-Ozbagci. More precisely, we show that up to Liouville isomorphism any Weinstein domain W admits a compatible compact convex Lefschetz fibration with Weinstein regul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2200","kind":"arxiv","version":5},"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":"1003.2200","created_at":"2026-05-18T00:20:27.994427+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.2200v5","created_at":"2026-05-18T00:20:27.994427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2200","created_at":"2026-05-18T00:20:27.994427+00:00"},{"alias_kind":"pith_short_12","alias_value":"NRMUNP2QSV4Q","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"NRMUNP2QSV4QQ2UU","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"NRMUNP2Q","created_at":"2026-05-18T12:26:10.704358+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/NRMUNP2QSV4QQ2UU6LGPAVTTVV","json":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV.json","graph_json":"https://pith.science/api/pith-number/NRMUNP2QSV4QQ2UU6LGPAVTTVV/graph.json","events_json":"https://pith.science/api/pith-number/NRMUNP2QSV4QQ2UU6LGPAVTTVV/events.json","paper":"https://pith.science/paper/NRMUNP2Q"},"agent_actions":{"view_html":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV","download_json":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV.json","view_paper":"https://pith.science/paper/NRMUNP2Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.2200&json=true","fetch_graph":"https://pith.science/api/pith-number/NRMUNP2QSV4QQ2UU6LGPAVTTVV/graph.json","fetch_events":"https://pith.science/api/pith-number/NRMUNP2QSV4QQ2UU6LGPAVTTVV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV/action/storage_attestation","attest_author":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV/action/author_attestation","sign_citation":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV/action/citation_signature","submit_replication":"https://pith.science/pith/NRMUNP2QSV4QQ2UU6LGPAVTTVV/action/replication_record"}},"created_at":"2026-05-18T00:20:27.994427+00:00","updated_at":"2026-05-18T00:20:27.994427+00:00"}