{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TKKXQPUV3PGZZS5MTO5QZ4L2HE","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":"ddce2dfc28ef1f7f3b495d1a3366669c10b055252e25f3d26c72e6c1d59c2c30","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-08-22T02:29:17Z","title_canon_sha256":"445c3a4017426e6398ce05ab9787b74574e7f291df84d0139ed5597d124245f6"},"schema_version":"1.0","source":{"id":"1508.05459","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.05459","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1508.05459v3","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05459","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"TKKXQPUV3PGZ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TKKXQPUV3PGZZS5M","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TKKXQPUV","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d5258b52a32b6e0e33a470bf2fc7ac0feebfdefbb6c61353624bd0ee0ae68aef","target":"graph","created_at":"2026-05-18T00:51:30Z","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 show the local rigidity of complex hyperbolic lattices in classical Hermitian semisimple Lie groups, $SU(np,p), Sp(2n+2,\\mathbb R), SO^*(2n+2), SO(2n,2)$. This reproves or generalizes some results in \\cite{GM, KKP, Klingler-inv, Pozzetti}.","authors_text":"Genkai Zhang, Inkang Kim","cross_cats":["math.DG","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-08-22T02:29:17Z","title":"Local rigidity of complex hyperbolic lattices in semisimple Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05459","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":"sha256:1ef90ed14ecb94876d1ea59977c25bc26a14e15adbb94f155a1f2b4527e42e7d","target":"record","created_at":"2026-05-18T00:51:30Z","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":"ddce2dfc28ef1f7f3b495d1a3366669c10b055252e25f3d26c72e6c1d59c2c30","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-08-22T02:29:17Z","title_canon_sha256":"445c3a4017426e6398ce05ab9787b74574e7f291df84d0139ed5597d124245f6"},"schema_version":"1.0","source":{"id":"1508.05459","kind":"arxiv","version":3}},"canonical_sha256":"9a95783e95dbcd9ccbac9bbb0cf17a39251c8a8ea655b7e86fe3d4bc5b72b012","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a95783e95dbcd9ccbac9bbb0cf17a39251c8a8ea655b7e86fe3d4bc5b72b012","first_computed_at":"2026-05-18T00:51:30.598800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:30.598800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"phrjXInFUQ/pKy3/H0v5gx0v+AUEJN1JVKUM2HMGO7yFcKUqVDQGqRqWPVN/AHS5i7mCsrbATQY2Y74AfXTiBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:30.599368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.05459","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ef90ed14ecb94876d1ea59977c25bc26a14e15adbb94f155a1f2b4527e42e7d","sha256:d5258b52a32b6e0e33a470bf2fc7ac0feebfdefbb6c61353624bd0ee0ae68aef"],"state_sha256":"695e14ae16aa8aba4d7f8be3b436b9da14f892dda466932dcdde559c5be9ecfb"}