{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ATWIT5ZSZUMC356V2JLX7W5YBZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c57eee6b8e503b177bfabe1af00a7739dd8ebf59848e677e0f6bc9429ba93820","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-07-26T12:17:57Z","title_canon_sha256":"2b280994036ae68fdf7bf3ce7598cd4ee90376c5179f08cc1ba5f4dc028e438a"},"schema_version":"1.0","source":{"id":"1607.07661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07661","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07661v1","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07661","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"ATWIT5ZSZUMC","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ATWIT5ZSZUMC356V","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ATWIT5ZS","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:289c0add7feec78809b916bdfecd24d7f89a47b9cfb8da423ef4b9e97ef79fc4","target":"graph","created_at":"2026-05-18T01:10:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Thanks to a result of Lisca and Matic and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spinc structures induce contact structures with distinct Ozsvath-Szabo invariants. Here we give an infinite family of examples showing that converse of Lisca-Matic-Plamenevskaya theorem does not hold in general. Our examples arise from Mazur type corks.","authors_text":"Cagri Karakurt, Takahiro Oba, Takuya Ukida","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-07-26T12:17:57Z","title":"Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07661","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aa82e348bbdffc9915ad29fab5179d741765e0e6e06d636eef68e3c4e559fdc0","target":"record","created_at":"2026-05-18T01:10:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c57eee6b8e503b177bfabe1af00a7739dd8ebf59848e677e0f6bc9429ba93820","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-07-26T12:17:57Z","title_canon_sha256":"2b280994036ae68fdf7bf3ce7598cd4ee90376c5179f08cc1ba5f4dc028e438a"},"schema_version":"1.0","source":{"id":"1607.07661","kind":"arxiv","version":1}},"canonical_sha256":"04ec89f732cd182df7d5d2577fdbb80e54bd25895f1a609f6ca9ad5384a7d935","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04ec89f732cd182df7d5d2577fdbb80e54bd25895f1a609f6ca9ad5384a7d935","first_computed_at":"2026-05-18T01:10:28.028130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:28.028130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NwDgyjKg3tHwUiaOZ/BBaFTbTkz6ZjFcPxaPJQXHXlPoFKAR682umB6QSiJ23dJuppMDjUJI4NY5cFbgn0h/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:28.028631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa82e348bbdffc9915ad29fab5179d741765e0e6e06d636eef68e3c4e559fdc0","sha256:289c0add7feec78809b916bdfecd24d7f89a47b9cfb8da423ef4b9e97ef79fc4"],"state_sha256":"5ace2cb68813f05330f33ece11e4dab7fd90686f1080e177ca9a4d0e4d7c04f6"}