{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6","short_pith_number":"pith:LAWQL4KC","schema_version":"1.0","canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","source":{"kind":"arxiv","id":"1212.1967","version":2},"attestation_state":"computed","paper":{"title":"New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"Anar Akhmedov, Kadriye Nur Saglam","submitted_at":"2012-12-10T04:08:40Z","abstract_excerpt":"In [2], the first author constructed the first known examples of exotic minimal symplectic $\\CP#5\\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\\CP#7\\CPb$. The construction in [2] uses Y. Matsumoto's genus two Lefschetz fibrations on $M = \\mathbb{T}^{2}\\times \\mathbb{S}^{2} #4\\CPb$ over $\\mathbb{S}^2$ along with the fake symplectic $\\mathbb{S}^{2} \\times \\mathbb{S}^{2}$ construction given in [1]. The main goal in this paper is to generalize the construction in [2] using the higher genus versions of Matsumoto's fibration constructed by Mustafa Korkmaz an"},"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":"1212.1967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748","abstract_canon_sha256":"8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:59.220928Z","signature_b64":"448N6OLN2Sb59clI6J7ElhyrMR6a+trcNKmsl2sWAXjST+E104OLbv1SYP8UPYx5vSwOoOA5PSO4fNe6PtD8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","last_reissued_at":"2026-05-18T01:59:59.220359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:59.220359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"Anar Akhmedov, Kadriye Nur Saglam","submitted_at":"2012-12-10T04:08:40Z","abstract_excerpt":"In [2], the first author constructed the first known examples of exotic minimal symplectic $\\CP#5\\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\\CP#7\\CPb$. The construction in [2] uses Y. Matsumoto's genus two Lefschetz fibrations on $M = \\mathbb{T}^{2}\\times \\mathbb{S}^{2} #4\\CPb$ over $\\mathbb{S}^2$ along with the fake symplectic $\\mathbb{S}^{2} \\times \\mathbb{S}^{2}$ construction given in [1]. The main goal in this paper is to generalize the construction in [2] using the higher genus versions of Matsumoto's fibration constructed by Mustafa Korkmaz an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1967","kind":"arxiv","version":2},"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":"1212.1967","created_at":"2026-05-18T01:59:59.220446+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1967v2","created_at":"2026-05-18T01:59:59.220446+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1967","created_at":"2026-05-18T01:59:59.220446+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAWQL4KCXUEI","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAWQL4KCXUEINPHE","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAWQL4KC","created_at":"2026-05-18T12:27:14.488303+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/LAWQL4KCXUEINPHELSJ4KRMTM6","json":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6.json","graph_json":"https://pith.science/api/pith-number/LAWQL4KCXUEINPHELSJ4KRMTM6/graph.json","events_json":"https://pith.science/api/pith-number/LAWQL4KCXUEINPHELSJ4KRMTM6/events.json","paper":"https://pith.science/paper/LAWQL4KC"},"agent_actions":{"view_html":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6","download_json":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6.json","view_paper":"https://pith.science/paper/LAWQL4KC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1967&json=true","fetch_graph":"https://pith.science/api/pith-number/LAWQL4KCXUEINPHELSJ4KRMTM6/graph.json","fetch_events":"https://pith.science/api/pith-number/LAWQL4KCXUEINPHELSJ4KRMTM6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/action/storage_attestation","attest_author":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/action/author_attestation","sign_citation":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/action/citation_signature","submit_replication":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/action/replication_record"}},"created_at":"2026-05-18T01:59:59.220446+00:00","updated_at":"2026-05-18T01:59:59.220446+00:00"}