{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AQTUC3W4LRVNSVOBOQ5SVV4PYN","short_pith_number":"pith:AQTUC3W4","canonical_record":{"source":{"id":"1309.0171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-09-01T01:34:22Z","cross_cats_sorted":[],"title_canon_sha256":"41f172031f4091969115e1355053404641c13b03cc212e5d954a5acb8881c922","abstract_canon_sha256":"dd1ed243666947110697e471bcadf207fad48069c0100d2a9298eb23a13db47f"},"schema_version":"1.0"},"canonical_sha256":"0427416edc5c6ad955c1743b2ad78fc35f2a87967e11979c917b1717088aa932","source":{"kind":"arxiv","id":"1309.0171","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0171","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0171v2","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0171","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"pith_short_12","alias_value":"AQTUC3W4LRVN","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AQTUC3W4LRVNSVOB","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AQTUC3W4","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AQTUC3W4LRVNSVOBOQ5SVV4PYN","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-09-01T01:34:22Z","cross_cats_sorted":[],"title_canon_sha256":"41f172031f4091969115e1355053404641c13b03cc212e5d954a5acb8881c922","abstract_canon_sha256":"dd1ed243666947110697e471bcadf207fad48069c0100d2a9298eb23a13db47f"},"schema_version":"1.0"},"canonical_sha256":"0427416edc5c6ad955c1743b2ad78fc35f2a87967e11979c917b1717088aa932","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:04.682078Z","signature_b64":"6Aru6t9bJIGk/ZW1EZbi60OMc/I4YW4zhy8IA4MAMzB/4gV4eLax1FH0UZ1EUqmrTM80wSM1La2etkV17J1SCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0427416edc5c6ad955c1743b2ad78fc35f2a87967e11979c917b1717088aa932","last_reissued_at":"2026-05-18T00:10:04.681373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:04.681373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0171","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4iTlm56F7GIS1kpRYBPABcga9RrUc4JCXTM0uj5Ff28VJ2t/Jmb0lJfuaXQpSufUL5Js11vr6Zf/iKrqeZrHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:19:21.591454Z"},"content_sha256":"b4983f1e565e1ef278992cb4576c558c70fe1ae71323820a6d06a7cbe2714fbd","schema_version":"1.0","event_id":"sha256:b4983f1e565e1ef278992cb4576c558c70fe1ae71323820a6d06a7cbe2714fbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AQTUC3W4LRVNSVOBOQ5SVV4PYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximal Subalgebras for Modular Graded Lie Superalgebras of Odd Cartan Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Qi Wang, Wende Liu","submitted_at":"2013-09-01T01:34:22Z","abstract_excerpt":"The purpose of this paper is to determine all maximal graded subalgebras of the four infinite series of finite-dimensional graded Lie superalgebras of odd Cartan type over an algebraically closed field of characteristic $p>3$. All maximal graded subalgebras consist of three types (\\MyRoman{1}), (\\MyRoman{2}) and (\\MyRoman{3}). Maximal graded subalgebras of type (\\MyRoman{3}) fall into reducible maximal graded subalgebras and irreducible maximal graded subalgebras. In this paper we classify maximal graded subalgebras of types (\\MyRoman{1}), (\\MyRoman{2}) and reducible maximal g raded subalgebra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0171","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5gVsWhjnUMKa0Co2O5fYyRNdXK8QoxYeGlYcPZ0yz/8QFmrDKsUCgXepLl9VcnnlLiHlV1qGKZbNkxwMbfn+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:19:21.592167Z"},"content_sha256":"153c9b0c9dedb42b194d958e86db5bd70e43baeafa73c90606c7f858b90d09f7","schema_version":"1.0","event_id":"sha256:153c9b0c9dedb42b194d958e86db5bd70e43baeafa73c90606c7f858b90d09f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/bundle.json","state_url":"https://pith.science/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T17:19:21Z","links":{"resolver":"https://pith.science/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN","bundle":"https://pith.science/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/bundle.json","state":"https://pith.science/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQTUC3W4LRVNSVOBOQ5SVV4PYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AQTUC3W4LRVNSVOBOQ5SVV4PYN","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":"dd1ed243666947110697e471bcadf207fad48069c0100d2a9298eb23a13db47f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-09-01T01:34:22Z","title_canon_sha256":"41f172031f4091969115e1355053404641c13b03cc212e5d954a5acb8881c922"},"schema_version":"1.0","source":{"id":"1309.0171","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0171","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0171v2","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0171","created_at":"2026-05-18T00:10:04Z"},{"alias_kind":"pith_short_12","alias_value":"AQTUC3W4LRVN","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AQTUC3W4LRVNSVOB","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AQTUC3W4","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:153c9b0c9dedb42b194d958e86db5bd70e43baeafa73c90606c7f858b90d09f7","target":"graph","created_at":"2026-05-18T00:10:04Z","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":"The purpose of this paper is to determine all maximal graded subalgebras of the four infinite series of finite-dimensional graded Lie superalgebras of odd Cartan type over an algebraically closed field of characteristic $p>3$. All maximal graded subalgebras consist of three types (\\MyRoman{1}), (\\MyRoman{2}) and (\\MyRoman{3}). Maximal graded subalgebras of type (\\MyRoman{3}) fall into reducible maximal graded subalgebras and irreducible maximal graded subalgebras. In this paper we classify maximal graded subalgebras of types (\\MyRoman{1}), (\\MyRoman{2}) and reducible maximal g raded subalgebra","authors_text":"Qi Wang, Wende Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-09-01T01:34:22Z","title":"Maximal Subalgebras for Modular Graded Lie Superalgebras of Odd Cartan Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0171","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:b4983f1e565e1ef278992cb4576c558c70fe1ae71323820a6d06a7cbe2714fbd","target":"record","created_at":"2026-05-18T00:10:04Z","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":"dd1ed243666947110697e471bcadf207fad48069c0100d2a9298eb23a13db47f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-09-01T01:34:22Z","title_canon_sha256":"41f172031f4091969115e1355053404641c13b03cc212e5d954a5acb8881c922"},"schema_version":"1.0","source":{"id":"1309.0171","kind":"arxiv","version":2}},"canonical_sha256":"0427416edc5c6ad955c1743b2ad78fc35f2a87967e11979c917b1717088aa932","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0427416edc5c6ad955c1743b2ad78fc35f2a87967e11979c917b1717088aa932","first_computed_at":"2026-05-18T00:10:04.681373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:04.681373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Aru6t9bJIGk/ZW1EZbi60OMc/I4YW4zhy8IA4MAMzB/4gV4eLax1FH0UZ1EUqmrTM80wSM1La2etkV17J1SCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:04.682078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0171","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4983f1e565e1ef278992cb4576c558c70fe1ae71323820a6d06a7cbe2714fbd","sha256:153c9b0c9dedb42b194d958e86db5bd70e43baeafa73c90606c7f858b90d09f7"],"state_sha256":"e2b6df11d3159890e94fd61523b1a3a057109aa6a7e88f40b456751ccc7435d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bRO6nmRrR0Epe0LM0hbizBGtvTbHQC5caJTqs3j8eOveOgqsMsIijr/Uy7j1OUcuPYLlLDVfzCSCPJqcb0WKBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T17:19:21.596140Z","bundle_sha256":"b2ef490e34ed755a327023a56707c1b3e289f2e0f9c19b90513e151eae6ee3f6"}}