{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LCKH3XQFORXSWA6SKFYANVOXGN","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":"aa98a1c850d9451aac9b68d0814a6d81a90a2603d248685902c79124b712474b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-28T18:53:11Z","title_canon_sha256":"496ca7461c43135fa5f76e2d7b19f686d73f458f70da6c58540a1a8cb4db0ae9"},"schema_version":"1.0","source":{"id":"1602.08755","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08755","created_at":"2026-05-18T00:15:24Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08755v3","created_at":"2026-05-18T00:15:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08755","created_at":"2026-05-18T00:15:24Z"},{"alias_kind":"pith_short_12","alias_value":"LCKH3XQFORXS","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCKH3XQFORXSWA6S","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCKH3XQF","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:ee4290973cf5241679b875b2c4ad2a1f137f7b8b4064c67d9c211004c019f3ff","target":"graph","created_at":"2026-05-18T00:15:24Z","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":"By means of the theory of strongly semistable sheaves and of the theory of the Greenberg transform, we generalize to higher dimensions a result on the sparsity of p-divisible unramified liftings which played a crucial role in Raynaud's proof of the Manin-Mumford conjecture for curves. We also give a bound for the number of irreducible components of the first critical scheme of subvarieties of an abelian variety which are complete intersections.","authors_text":"Danny Scarponi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-28T18:53:11Z","title":"Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08755","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":"sha256:1a6f7756aaa813bb053a5c8bdb2ace5b397088b21d99e562dd73c33202dfc90c","target":"record","created_at":"2026-05-18T00:15:24Z","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":"aa98a1c850d9451aac9b68d0814a6d81a90a2603d248685902c79124b712474b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-28T18:53:11Z","title_canon_sha256":"496ca7461c43135fa5f76e2d7b19f686d73f458f70da6c58540a1a8cb4db0ae9"},"schema_version":"1.0","source":{"id":"1602.08755","kind":"arxiv","version":3}},"canonical_sha256":"58947dde05746f2b03d2517006d5d733703e48447d07a1745eed662b4502cc8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58947dde05746f2b03d2517006d5d733703e48447d07a1745eed662b4502cc8d","first_computed_at":"2026-05-18T00:15:24.858621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:24.858621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aR55LlMmOpcHYlHUz1tYKzTxRgbmkkIUUQ9YVMIlouFyOasNrVwLjacnfOhxQVMvcAn39WNrNrl1fRBW04bwDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:24.859153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08755","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a6f7756aaa813bb053a5c8bdb2ace5b397088b21d99e562dd73c33202dfc90c","sha256:ee4290973cf5241679b875b2c4ad2a1f137f7b8b4064c67d9c211004c019f3ff"],"state_sha256":"befb818ef874096037e8da3190d7c617b200564cedf077b6039ab728ae265745"}