{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6ETCZGMGMYL33CSD3F5U6NNK7M","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":"da684c6a5e335bd7545618e30506c89591e5ad7bd095562ba4f4b78e4d7345ad","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-01T01:07:50Z","title_canon_sha256":"e09200427a4244eee5fc02d3c7314a583e786dae98ac3278d9e5ce717f45c949"},"schema_version":"1.0","source":{"id":"0808.0046","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.0046","created_at":"2026-05-18T02:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"0808.0046v2","created_at":"2026-05-18T02:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0046","created_at":"2026-05-18T02:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"6ETCZGMGMYL3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6ETCZGMGMYL33CSD","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6ETCZGMG","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:90f77f76c9d243c7370d23e4726ec23c6bb3dcdbd7a448fbecb030d32ed5e1b8","target":"graph","created_at":"2026-05-18T02:58:11Z","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 initiate the representation theory of restricted Lie superalgebras over an algebraically closed field of characteristic p>2. A superalgebra generalization of the celebrated Kac-Weisfeiler Conjecture is formulated, which exhibits a mixture of p-power and 2-power divisibilities of dimensions of modules. We establish the Conjecture for basic classical Lie superalgebras.","authors_text":"Lei Zhao, Weiqiang Wang","cross_cats":["math.QA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-01T01:07:50Z","title":"Representations of Lie Superalgebras in Prime Characteristic I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0046","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:d21ae91c0e0fe2ce95de65d24af286adbac1bfbecdd878739343eeb019ec3836","target":"record","created_at":"2026-05-18T02:58:11Z","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":"da684c6a5e335bd7545618e30506c89591e5ad7bd095562ba4f4b78e4d7345ad","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-08-01T01:07:50Z","title_canon_sha256":"e09200427a4244eee5fc02d3c7314a583e786dae98ac3278d9e5ce717f45c949"},"schema_version":"1.0","source":{"id":"0808.0046","kind":"arxiv","version":2}},"canonical_sha256":"f1262c99866617bd8a43d97b4f35aafb29d55af02dc135d79fcfbe0c2530dceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1262c99866617bd8a43d97b4f35aafb29d55af02dc135d79fcfbe0c2530dceb","first_computed_at":"2026-05-18T02:58:11.275606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:11.275606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WcvdueQYcibBQYCrttr7tUUwscDJsvkBzxD5qdTJdJs8Ry7HKHFKIXSd43n9OkR5o16v/RNWvEzQkocpeU0CBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:11.276224Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.0046","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d21ae91c0e0fe2ce95de65d24af286adbac1bfbecdd878739343eeb019ec3836","sha256:90f77f76c9d243c7370d23e4726ec23c6bb3dcdbd7a448fbecb030d32ed5e1b8"],"state_sha256":"beeb5c3aabf8a59580fe23ca4abbbe5c0d1bbe54740710fe04667565b2ded554"}