{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HFW5TFWUGGW2AHEBXBJL4LWSUT","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":"91cbc8220d8e7810dba1f678845b7b33a29d995cfa842fc65ec29159ee6d5daa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-17T13:24:16Z","title_canon_sha256":"9ed87c1dcc0169d9a42e26210139c5e12d5b3a09d371966587352b60fc2286fb"},"schema_version":"1.0","source":{"id":"1101.3202","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3202","created_at":"2026-05-18T03:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3202v1","created_at":"2026-05-18T03:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3202","created_at":"2026-05-18T03:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"HFW5TFWUGGW2","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HFW5TFWUGGW2AHEB","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HFW5TFWU","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:71acae16565ac01ac7c88fcc7515e903c70cbfd8cbd0180b38cf21b549d9bf3d","target":"graph","created_at":"2026-05-18T03:41:56Z","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 the existence of defective secant varieties of three-factor and four-factor Segre-Veronese varieties embedded in certain multi-degree. These defective secant varieties were previously unknown and are of importance in the classification of defective secant varieties of Segre-Veronese varieties with three or more factors.","authors_text":"Hirotachi Abo, Maria Chiara Brambilla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-17T13:24:16Z","title":"New examples of defective secant varieties of Segre-Veronese varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3202","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:ec3fe7428fc4275de8a4ab5aab45a901b01bb6b6a143938c8532a87d67b1378e","target":"record","created_at":"2026-05-18T03:41:56Z","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":"91cbc8220d8e7810dba1f678845b7b33a29d995cfa842fc65ec29159ee6d5daa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-17T13:24:16Z","title_canon_sha256":"9ed87c1dcc0169d9a42e26210139c5e12d5b3a09d371966587352b60fc2286fb"},"schema_version":"1.0","source":{"id":"1101.3202","kind":"arxiv","version":1}},"canonical_sha256":"396dd996d431ada01c81b852be2ed2a4db2975228df257968ba0b5a994d8523f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"396dd996d431ada01c81b852be2ed2a4db2975228df257968ba0b5a994d8523f","first_computed_at":"2026-05-18T03:41:56.690232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:56.690232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLjuEtCCntqH0cZ7QzvxGLRdBOED5jsOG9+oQckmd8ckJ5cQktP7JqQr1WJBTm1b/7V4gV6nLgLjVJu5TLiRBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:56.690928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3202","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec3fe7428fc4275de8a4ab5aab45a901b01bb6b6a143938c8532a87d67b1378e","sha256:71acae16565ac01ac7c88fcc7515e903c70cbfd8cbd0180b38cf21b549d9bf3d"],"state_sha256":"21de0cadf958e45bf9debd83355a05fc6dd5135dfb7a4cf0ea4c6d3780544f89"}