{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4PMSESLBBLJBL5Z466EG2MFXPV","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":"dd1a3d3bd39fd0a59744184392a67276c7d02601a0f340ef35fd656b3cd23d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-16T03:07:27Z","title_canon_sha256":"7674dfc0ca11b1e160259900ebf1c3ac410436fc81a1a6dc1392aa0c1762c7ae"},"schema_version":"1.0","source":{"id":"1312.4238","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4238","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4238v3","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4238","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"4PMSESLBBLJB","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4PMSESLBBLJBL5Z4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4PMSESLB","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:d32872e7a5731c651cfd60a94fdf7153ae67d60cdd4ba6e8dd3cff58d0ae9a12","target":"graph","created_at":"2026-05-18T02:46:22Z","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":"In this short note we prove that in many cases the failure of a variety to be separably rationally connected is caused by the instability of the tangent sheaf (if there are no other obvious reasons). A simple application of the results proves that a smooth Fano complete intersection is separably rationally connected if and only if it is separably uniruled. In particular, a general such Fano complete intersection is separably rationally connected.","authors_text":"Zhiyu Tian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-16T03:07:27Z","title":"Separable rational connectedness and stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4238","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":"sha256:997863c71238b04bdbac95e96373a7a842ce89d043e171d8ca3640ab246b5e35","target":"record","created_at":"2026-05-18T02:46:22Z","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":"dd1a3d3bd39fd0a59744184392a67276c7d02601a0f340ef35fd656b3cd23d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-16T03:07:27Z","title_canon_sha256":"7674dfc0ca11b1e160259900ebf1c3ac410436fc81a1a6dc1392aa0c1762c7ae"},"schema_version":"1.0","source":{"id":"1312.4238","kind":"arxiv","version":3}},"canonical_sha256":"e3d92249610ad215f73cf7886d30b77d4a365ec031764d95c4e7831ac94d6325","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3d92249610ad215f73cf7886d30b77d4a365ec031764d95c4e7831ac94d6325","first_computed_at":"2026-05-18T02:46:22.682681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:22.682681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yW0hq3B3Q97a2mmzkggu5eV1Kf1IDuewXa+Bc7gExTddR8YFWm6Etq6DzyooXHnmMTqKMkd881ZldQU+UohRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:22.683183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4238","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:997863c71238b04bdbac95e96373a7a842ce89d043e171d8ca3640ab246b5e35","sha256:d32872e7a5731c651cfd60a94fdf7153ae67d60cdd4ba6e8dd3cff58d0ae9a12"],"state_sha256":"426e505a3d99964eb251f2c92838be04d080577e987fabe96af256e2282b8ea7"}