{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FG5NSFNLQEH3JEPW66QODRQKN6","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":"3155f4e2792b1e5c072c044f6fbd2b0771de80a9a2c272a6e7b1804b7b6bc1fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-27T19:28:35Z","title_canon_sha256":"9cc036ce8694f2767b0e684e7886c929ada0ffa62e3b3a3b6631ee680e18877b"},"schema_version":"1.0","source":{"id":"1212.6420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6420","created_at":"2026-05-18T03:37:39Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6420v1","created_at":"2026-05-18T03:37:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6420","created_at":"2026-05-18T03:37:39Z"},{"alias_kind":"pith_short_12","alias_value":"FG5NSFNLQEH3","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FG5NSFNLQEH3JEPW","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FG5NSFNL","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:d456f8e0dfcf3ade0b473da2337cc610abe61bc400092df32ac1b7800b3d3c6b","target":"graph","created_at":"2026-05-18T03:37:39Z","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 prove that if $X$ is the total space of an elliptic principal bundle $\\pi:X\\ra B$ which is non-K\\\"ahler, then the restriction of any torsion-free sheaf on $X$ to the general fiber of $\\pi$ is semi-stable.","authors_text":"Victor Vuletescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-27T19:28:35Z","title":"A restriction theorem for torsion-free sheaves on some elliptic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6420","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":"sha256:76e9d9ad1a52d5aabfaec874c49ff9acdcc62960a4102aafb3e39b9daa3b9fab","target":"record","created_at":"2026-05-18T03:37:39Z","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":"3155f4e2792b1e5c072c044f6fbd2b0771de80a9a2c272a6e7b1804b7b6bc1fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-27T19:28:35Z","title_canon_sha256":"9cc036ce8694f2767b0e684e7886c929ada0ffa62e3b3a3b6631ee680e18877b"},"schema_version":"1.0","source":{"id":"1212.6420","kind":"arxiv","version":1}},"canonical_sha256":"29bad915ab810fb491f6f7a0e1c60a6fbbd40fd5680bdfc3dc591d3effb50a85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29bad915ab810fb491f6f7a0e1c60a6fbbd40fd5680bdfc3dc591d3effb50a85","first_computed_at":"2026-05-18T03:37:39.774652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:39.774652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lwtOPvmt5EK00InnAbgUsGyMvmTk1bYYjRSeZ2TjPachbF5AE+R4MBhZYse03EEUjL3c+iSC0PKiDFxcgKKaDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:39.775329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76e9d9ad1a52d5aabfaec874c49ff9acdcc62960a4102aafb3e39b9daa3b9fab","sha256:d456f8e0dfcf3ade0b473da2337cc610abe61bc400092df32ac1b7800b3d3c6b"],"state_sha256":"5836333f9ac7244d2c25b34b7d9e73e37a629c917c2c1b869532f3ece3e5bc72"}