{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3OZTRBXEX574W67RGH3LSECHCJ","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":"6687f1dd7715f520dfdb6bd3c8f51e8f37cb4bd32a980dab1fb2f0db1bb05e68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-16T21:55:46Z","title_canon_sha256":"77a34a562d8e56f7197811d4f5ed600e5a498fb18be723394790549435a9084b"},"schema_version":"1.0","source":{"id":"1803.06412","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06412","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06412v3","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06412","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"3OZTRBXEX574","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3OZTRBXEX574W67R","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3OZTRBXE","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:bbab8a1253e21ed9a55cb5c977dfea63a88c8f43dd00d2a069d448bca89cf940","target":"graph","created_at":"2026-05-17T23:55:07Z","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":"Kollar and Ruan proved symplectic deformation invariance for uniruledness of Kaehler manifolds. Zhiyu Tian proved the same for rational connectedness in dimension < 4. Kollar conjectured this in all dimensions. We prove Kollar's conjecture, as well as existence of a covering family of rational surfaces, for all Kaehler manifolds that are symplectically deformation equivalent to G/P or to a low degree complete intersection in such.","authors_text":"Jason Michael Starr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-16T21:55:46Z","title":"Symplectic invariance of rational surfaces on K\\\"{a}hler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06412","kind":"arxiv","version":3},"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":"sha256:5820af0e5ee224a41087a6b3b90405f99a2c247c7892a107a9d6bddd6b54bdeb","target":"record","created_at":"2026-05-17T23:55:07Z","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":"6687f1dd7715f520dfdb6bd3c8f51e8f37cb4bd32a980dab1fb2f0db1bb05e68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-16T21:55:46Z","title_canon_sha256":"77a34a562d8e56f7197811d4f5ed600e5a498fb18be723394790549435a9084b"},"schema_version":"1.0","source":{"id":"1803.06412","kind":"arxiv","version":3}},"canonical_sha256":"dbb33886e4bf7fcb7bf131f6b9104712424097e9e3129bc4a41b651d105bf2dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbb33886e4bf7fcb7bf131f6b9104712424097e9e3129bc4a41b651d105bf2dd","first_computed_at":"2026-05-17T23:55:07.889756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:07.889756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQsV5+dhpAvwG3cTxIoPvBhHFHZ4lgcT54YAIJx0QjGYhaB7mkyDRmrVAKvUkELJNh9ml9PWN8oE4aRf5hAKDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:07.890327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06412","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5820af0e5ee224a41087a6b3b90405f99a2c247c7892a107a9d6bddd6b54bdeb","sha256:bbab8a1253e21ed9a55cb5c977dfea63a88c8f43dd00d2a069d448bca89cf940"],"state_sha256":"9d34d4eaa60280d11e073f8752b6d999e23b23211b48d87b688b011b9ab2b527"}