{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:Q65YQNBEDSATDFNDVP7EDF6LVG","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":"7f8b68f1862a664e3f7217783c1e1346193032f8906c9665c7c4279cf98bf4ce","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-20T06:09:13Z","title_canon_sha256":"9e31a27356bd7f3c82a6d05a18198ab5795ec05b06fa45c681a7d152073d254d"},"schema_version":"1.0","source":{"id":"0812.3939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3939","created_at":"2026-05-18T03:13:08Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3939v1","created_at":"2026-05-18T03:13:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3939","created_at":"2026-05-18T03:13:08Z"},{"alias_kind":"pith_short_12","alias_value":"Q65YQNBEDSAT","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q65YQNBEDSATDFND","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q65YQNBE","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:7d1557b57388241d11c2e57060e165c75428d4cc6d6d9ddc65cb67b3efdb30ec","target":"graph","created_at":"2026-05-18T03:13:08Z","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":"Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction $\\sigma|_Y$ of the holomorphic symplectic form induces a rank one foliation on Y. We investigate situations where this foliation has compact leaves; in such cases we obtain a space of leaves Y/F which has dimension 2n-2 and admits a holomorphic symplectic form.","authors_text":"Justin Sawon","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-20T06:09:13Z","title":"Foliations on hypersurfaces in holomorphic symplectic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3939","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":"sha256:2672f67c5ad7be8cd5822d1b346ddc2ef60b6f2fcdd51cfafb21443c2fe3d408","target":"record","created_at":"2026-05-18T03:13:08Z","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":"7f8b68f1862a664e3f7217783c1e1346193032f8906c9665c7c4279cf98bf4ce","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-20T06:09:13Z","title_canon_sha256":"9e31a27356bd7f3c82a6d05a18198ab5795ec05b06fa45c681a7d152073d254d"},"schema_version":"1.0","source":{"id":"0812.3939","kind":"arxiv","version":1}},"canonical_sha256":"87bb8834241c813195a3abfe4197cba9b147dd5ea4fd31938ede11b197df068d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87bb8834241c813195a3abfe4197cba9b147dd5ea4fd31938ede11b197df068d","first_computed_at":"2026-05-18T03:13:08.666241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:08.666241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5rl1ZGevehTiL3N8q2Vi8nbBNpxRrnN5INEEQu6K580r8z36jy/y0Y0jqF7b4tEmxCSw+HFmduxkVLs6xihUCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:08.666988Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2672f67c5ad7be8cd5822d1b346ddc2ef60b6f2fcdd51cfafb21443c2fe3d408","sha256:7d1557b57388241d11c2e57060e165c75428d4cc6d6d9ddc65cb67b3efdb30ec"],"state_sha256":"d9bac8aa235538365e0fa76708a5753dd42904bbd4c2798e0477a4a8ec0e457b"}