{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UDR34I5XVVIT7Y3DCLFWKSHXEL","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":"c71cea18658d8cfda70f4f0a1a691812d8f0de90e570c9b78b90383dce19a026","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-21T13:37:35Z","title_canon_sha256":"9a8723c4adc81682850d5ba69dcff51ad76534839e476fb82279fb62fccf9139"},"schema_version":"1.0","source":{"id":"1512.06623","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06623","created_at":"2026-05-18T00:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06623v2","created_at":"2026-05-18T00:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06623","created_at":"2026-05-18T00:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"UDR34I5XVVIT","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UDR34I5XVVIT7Y3D","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UDR34I5X","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:3a12f62ed1629509d8d41b2482ac39292288e45b4725e64083948a2fbcff5743","target":"graph","created_at":"2026-05-18T00:06:51Z","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":"This article studies codimension one foliations on projective man-ifolds having a compact leaf (free of singularities). It explores the interplay between Ueda theory (order of flatness of the normal bundle) and the holo-nomy representation (dynamics of the foliation in the transverse direction). We address in particular the following problems: existence of foliation having as a leaf a given hypersurface with topologically torsion normal bundle, global structure of foliations having a compact leaf whose holonomy is abelian (resp. solvable), and factorization results.","authors_text":"Beno\\^it Claudon, Frank Loray (IRMAR), Fr\\'ed\\'eric Touzet (IRMAR), Jorge Pereira (IMPA)","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-21T13:37:35Z","title":"Compact leaves of codimension one holomorphic foliations on projective manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06623","kind":"arxiv","version":2},"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:a90b47d3d5b5f6890ea3df2b5211ca7853434ed9beecfbd91940310d60e3bf18","target":"record","created_at":"2026-05-18T00:06:51Z","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":"c71cea18658d8cfda70f4f0a1a691812d8f0de90e570c9b78b90383dce19a026","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-21T13:37:35Z","title_canon_sha256":"9a8723c4adc81682850d5ba69dcff51ad76534839e476fb82279fb62fccf9139"},"schema_version":"1.0","source":{"id":"1512.06623","kind":"arxiv","version":2}},"canonical_sha256":"a0e3be23b7ad513fe36312cb6548f722e905577472dccc59b934b7d89472021e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0e3be23b7ad513fe36312cb6548f722e905577472dccc59b934b7d89472021e","first_computed_at":"2026-05-18T00:06:51.639260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:51.639260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2vXXYmKtt1q7i1ugmRmuzek9R2mxilTkUfJ4dBG1eu4NHlo9WK+yjh10D5WrhH88j9Eq54rteu3FTXRufDI7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:51.639951Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06623","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a90b47d3d5b5f6890ea3df2b5211ca7853434ed9beecfbd91940310d60e3bf18","sha256:3a12f62ed1629509d8d41b2482ac39292288e45b4725e64083948a2fbcff5743"],"state_sha256":"4bf604b566b41ae71d9f74ca58b4b7717e8818356301fa59420147ca7d2ab073"}