{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2PCFDM4BX7NFK5M26YVIXGBKBM","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":"db8b97c6600a1a45276136ecfc351a13810a7f8bd35c70f963c98884d42316cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-21T17:09:04Z","title_canon_sha256":"0830aefa95a6bd7b4f32cbdd0b08cf7526488cf832bf1031feb5973419d4023f"},"schema_version":"1.0","source":{"id":"1709.07420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07420","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07420v1","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07420","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"2PCFDM4BX7NF","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2PCFDM4BX7NFK5M2","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2PCFDM4B","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:e1d5d6e5e867c0737966ad25298c5b8b4cbbe94f5818c891871aa1973b215362","target":"graph","created_at":"2026-05-18T00:34:35Z","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":"We show that an everywhere regular foliation $\\mathcal F$ with compact canonically polarized leaves on a quasi-projective manifold $X$ has isotrivial family of leaves when the orbifold base of this family is special. By a recent work of Berndtsson, Paun and Wang, the same proof works in the case where the leaves have trivial canonical bundle. The specialness condition means that the $p$-th exterior power of the logarithmic extension of its conormal bundle does not contain any rank-one subsheaf of maximal Kodaira dimension $p$, for any $p>0$. This condition is satisfied, for example, in the ver","authors_text":"Ekaterina Amerik, Fr\\'ed\\'eric Campana","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-21T17:09:04Z","title":"Specialness and Isotriviality for Regular Algebraic Foliations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07420","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:f1a27bf0c7e401fcd610539a6ec761afabe8a79117c3aa3b21060e1b7c8333b2","target":"record","created_at":"2026-05-18T00:34:35Z","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":"db8b97c6600a1a45276136ecfc351a13810a7f8bd35c70f963c98884d42316cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-21T17:09:04Z","title_canon_sha256":"0830aefa95a6bd7b4f32cbdd0b08cf7526488cf832bf1031feb5973419d4023f"},"schema_version":"1.0","source":{"id":"1709.07420","kind":"arxiv","version":1}},"canonical_sha256":"d3c451b381bfda55759af62a8b982a0b1a6436b47f620fedf6ce3db3f56516c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3c451b381bfda55759af62a8b982a0b1a6436b47f620fedf6ce3db3f56516c0","first_computed_at":"2026-05-18T00:34:35.847183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:35.847183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qWunyaS/7bBk7oUkMSv7CgBJoEf/gQOV8qW5+vvULtAOAAecwlD6k09fmfYoJcEhozVy8ohOoYD8af6da+DnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:35.847713Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1a27bf0c7e401fcd610539a6ec761afabe8a79117c3aa3b21060e1b7c8333b2","sha256:e1d5d6e5e867c0737966ad25298c5b8b4cbbe94f5818c891871aa1973b215362"],"state_sha256":"ef66e6c73fab281e63ac3c5287a4fe2a40d40611050754804e1ecf91609a937d"}