{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3L57F67WA7SW65JJNEZCCWUSOS","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":"62d7faaa7f0a191dbe08afad03a01a6b85829763ab1a4004d2f774a220a126fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-16T10:10:59Z","title_canon_sha256":"2d6be576f5d8b5d68a057a9bc9b7819a6694d53fcce0ee590d9140db543c115b"},"schema_version":"1.0","source":{"id":"1011.3636","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3636","created_at":"2026-05-18T04:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3636v2","created_at":"2026-05-18T04:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3636","created_at":"2026-05-18T04:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"3L57F67WA7SW","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3L57F67WA7SW65JJ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3L57F67W","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:ef7c46e181175d56b55396650a1eb786f09f6028c12a0be4fc422c679305536f","target":"graph","created_at":"2026-05-18T04:34:36Z","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":"The goal of this work is to study the existence and properties of non constant entire curves f drawn in a complex irreducible n-dimensional variety X, and more specifically to show that they must satisfy certain global algebraic or differential equations as soon as X is projective of general type. By means of holomorphic Morse inequalities and a probabilistic analysis of the cohomology of jet spaces, we are able to reach a significant step towards a generalized version of the Green-Griffiths-Lang conjecture.","authors_text":"Jean-Pierre Demailly (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-16T10:10:59Z","title":"Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3636","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":"sha256:7cc0315cafc210ea1fe49040d8e3d28213cb42e8aac31b4524bd53462274f53c","target":"record","created_at":"2026-05-18T04:34:36Z","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":"62d7faaa7f0a191dbe08afad03a01a6b85829763ab1a4004d2f774a220a126fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-16T10:10:59Z","title_canon_sha256":"2d6be576f5d8b5d68a057a9bc9b7819a6694d53fcce0ee590d9140db543c115b"},"schema_version":"1.0","source":{"id":"1011.3636","kind":"arxiv","version":2}},"canonical_sha256":"dafbf2fbf607e56f75296932215a9274924dbe9498546bdccf3e74481b34196c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dafbf2fbf607e56f75296932215a9274924dbe9498546bdccf3e74481b34196c","first_computed_at":"2026-05-18T04:34:36.651817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:36.651817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0aB7xH0uH8U8NvGUyITQ3/wERFRWVJdxULTRKgULzeimzvf9YO/F3BloE/TPtgz8yV+WCdetwT7oH04WEpzVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:36.652354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3636","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cc0315cafc210ea1fe49040d8e3d28213cb42e8aac31b4524bd53462274f53c","sha256:ef7c46e181175d56b55396650a1eb786f09f6028c12a0be4fc422c679305536f"],"state_sha256":"1dbef236c36763036aed0c875d04a2b8ec1338ff0cd1902a3b318ba1f71e7c87"}