{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2LVT3K3VCPYFGRNHHEKLY5RVZN","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":"99b055597cc2b88135c79ce08c3cdc8fa3d26756a8fa98a84147858fe71ef391","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-16T18:30:01Z","title_canon_sha256":"949bc7e4047e97beef621e66e11fc7b980a347db07a7908c49ce42e1b94c2983"},"schema_version":"1.0","source":{"id":"1606.05305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05305","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05305v1","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05305","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"2LVT3K3VCPYF","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2LVT3K3VCPYFGRNH","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2LVT3K3V","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:ead9181b02e7b64df5cf9e08270976a7a05b591d2ac81c05a2b371751452762d","target":"graph","created_at":"2026-05-18T01:12:21Z","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 discuss the classification of good Z-gradings of basic Lie superalgebras. This problem arose in connection to W-algebras, where good Z-gradings play a role in their construction.","authors_text":"Crystal Hoyt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-16T18:30:01Z","title":"On good Z-gradings of basic Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05305","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:f9fbd6073c4155ca2464873e79fe23550ba0e334c5bea2aeb3db33c70c9139b8","target":"record","created_at":"2026-05-18T01:12:21Z","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":"99b055597cc2b88135c79ce08c3cdc8fa3d26756a8fa98a84147858fe71ef391","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-16T18:30:01Z","title_canon_sha256":"949bc7e4047e97beef621e66e11fc7b980a347db07a7908c49ce42e1b94c2983"},"schema_version":"1.0","source":{"id":"1606.05305","kind":"arxiv","version":1}},"canonical_sha256":"d2eb3dab7513f05345a73914bc7635cb5959582a08bee992b19769458240e9ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2eb3dab7513f05345a73914bc7635cb5959582a08bee992b19769458240e9ee","first_computed_at":"2026-05-18T01:12:21.608735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:21.608735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ujymQKuQ6f2uMp+EAMcQeZrZ8FvPHs6ImOj97H8s6cve3xqtPsylrlbuB4sVhAIUoMZ71LY/8syeEtCjNWUdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:21.609065Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9fbd6073c4155ca2464873e79fe23550ba0e334c5bea2aeb3db33c70c9139b8","sha256:ead9181b02e7b64df5cf9e08270976a7a05b591d2ac81c05a2b371751452762d"],"state_sha256":"ab8840a0023af96182e9bdd18d5daaa70287edb72961c506d795b50a2ea44199"}