{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7WQVHLOZH6X6VLMXZFAVT5KNTY","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":"09407b16dba6b9d04dabcbea6f155df9a176154d37df7362733eff293edab71a","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-04-26T12:47:16Z","title_canon_sha256":"c2449120c0cbca1f119820cb6784a6514773524b518d28fada882897142612db"},"schema_version":"1.0","source":{"id":"math/0604565","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604565","created_at":"2026-07-04T14:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604565v2","created_at":"2026-07-04T14:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604565","created_at":"2026-07-04T14:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"7WQVHLOZH6X6","created_at":"2026-07-04T14:54:38Z"},{"alias_kind":"pith_short_16","alias_value":"7WQVHLOZH6X6VLMX","created_at":"2026-07-04T14:54:38Z"},{"alias_kind":"pith_short_8","alias_value":"7WQVHLOZ","created_at":"2026-07-04T14:54:38Z"}],"graph_snapshots":[{"event_id":"sha256:cfc6f7f2e5b6a6013063d9d10f9192df8e986845a5b762818da6411f8eb3cbc6","target":"graph","created_at":"2026-07-04T14:54:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0604565/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper has been withdrawn by the author(s), due the final version in math.QA/0604564","authors_text":"Fan Xu, Guanglian Zhang, Jie Xiao","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-04-26T12:47:16Z","title":"Derived category and Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604565","kind":"arxiv","version":2},"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:a4fb7bd852208a95098e3b5063b51528a07b160a8462bef63090e6448af4ec6b","target":"record","created_at":"2026-07-04T14:54:38Z","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":"09407b16dba6b9d04dabcbea6f155df9a176154d37df7362733eff293edab71a","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-04-26T12:47:16Z","title_canon_sha256":"c2449120c0cbca1f119820cb6784a6514773524b518d28fada882897142612db"},"schema_version":"1.0","source":{"id":"math/0604565","kind":"arxiv","version":2}},"canonical_sha256":"fda153add93fafeaad97c94159f54d9e29af0b3735c1d153ecb043ba5012a5e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda153add93fafeaad97c94159f54d9e29af0b3735c1d153ecb043ba5012a5e8","first_computed_at":"2026-07-04T14:54:38.400788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:54:38.400788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tPiwP5b1gkaHXuz3WlOG5W2eTY5MPjxaw5/B65pEIWUYgxgF0PwPKDx+fJOko76tqVi5VlzCGiLWa243f8huAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:54:38.401142Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604565","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4fb7bd852208a95098e3b5063b51528a07b160a8462bef63090e6448af4ec6b","sha256:cfc6f7f2e5b6a6013063d9d10f9192df8e986845a5b762818da6411f8eb3cbc6"],"state_sha256":"bb11115fe2678d7161903852917804ff96536ff368a8a5dea90e11fa6b0b0f8e"}