{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OJE4MCKKCMYOCERTBSQM4KXCX4","short_pith_number":"pith:OJE4MCKK","canonical_record":{"source":{"id":"1602.06085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-02-19T09:26:11Z","cross_cats_sorted":[],"title_canon_sha256":"72d82db5c35e8d9e66fd55e5f505fe58b0934dec4fb5185c4a6f1959446e9df3","abstract_canon_sha256":"61c4bbefb4cb15a4638504f0ecd497cfe7efed129ced981f9962af3217df8a7f"},"schema_version":"1.0"},"canonical_sha256":"7249c6094a1330e112330ca0ce2ae2bf3d6c1b13825e389130d7f468090999cd","source":{"kind":"arxiv","id":"1602.06085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06085","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06085v1","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06085","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"OJE4MCKKCMYO","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OJE4MCKKCMYOCERT","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OJE4MCKK","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OJE4MCKKCMYOCERTBSQM4KXCX4","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-02-19T09:26:11Z","cross_cats_sorted":[],"title_canon_sha256":"72d82db5c35e8d9e66fd55e5f505fe58b0934dec4fb5185c4a6f1959446e9df3","abstract_canon_sha256":"61c4bbefb4cb15a4638504f0ecd497cfe7efed129ced981f9962af3217df8a7f"},"schema_version":"1.0"},"canonical_sha256":"7249c6094a1330e112330ca0ce2ae2bf3d6c1b13825e389130d7f468090999cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:21.671165Z","signature_b64":"yRqI6AIY46g+mT0YOP9DbmJhNgoMkERg0M/TrG4uKS7x2A5D4liurXcTxYz/U/+bWMoVG3tBL8xloQELzpGfBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7249c6094a1330e112330ca0ce2ae2bf3d6c1b13825e389130d7f468090999cd","last_reissued_at":"2026-05-18T01:20:21.670480Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:21.670480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06085","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ECaktRoYRitUTsjktTuLagf1Jj22WeCr1seUa/ebxnVTqXchVOgt0wXoQOWl4ffKtkB/MxiolgXwBZ4uIf99CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:38:11.500458Z"},"content_sha256":"47bde5b34c8ff0a6034016d33d0ead5ffb7d833e9b8b43baa6a41641f7cd8b33","schema_version":"1.0","event_id":"sha256:47bde5b34c8ff0a6034016d33d0ead5ffb7d833e9b8b43baa6a41641f7cd8b33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OJE4MCKKCMYOCERTBSQM4KXCX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On identities of infinite dimensional Lie superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Du\\v{s}an Repov\\v{s}, Mikhail Zaicev","submitted_at":"2016-02-19T09:26:11Z","abstract_excerpt":"We study codimension growth of infinite dimensional Lie superalgebras over an algebraically closed field of characteristic zero. We prove that if a Lie superalgebra $L$ is a Grassmann envelope of a finite dimensional simple Lie algebra then the PI-exponent of $L$ exists and it is a positive integer."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06085","kind":"arxiv","version":1},"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":"2026-05-18T01:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YdOJHGLeFfEkV1dOZGeQZzRHaIpYXpZuYBE52Wk/F7kLqr6/HujmRGhS5+TtMCpojpsDmAnGe3QhsCSK7nO+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:38:11.500883Z"},"content_sha256":"41a45af166d2b15d082843b38b27364d7537b0270eb7ea61dc8ecbef5dcc83ac","schema_version":"1.0","event_id":"sha256:41a45af166d2b15d082843b38b27364d7537b0270eb7ea61dc8ecbef5dcc83ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/bundle.json","state_url":"https://pith.science/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/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":"2026-06-12T03:38:11Z","links":{"resolver":"https://pith.science/pith/OJE4MCKKCMYOCERTBSQM4KXCX4","bundle":"https://pith.science/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/bundle.json","state":"https://pith.science/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OJE4MCKKCMYOCERTBSQM4KXCX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OJE4MCKKCMYOCERTBSQM4KXCX4","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":"61c4bbefb4cb15a4638504f0ecd497cfe7efed129ced981f9962af3217df8a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-02-19T09:26:11Z","title_canon_sha256":"72d82db5c35e8d9e66fd55e5f505fe58b0934dec4fb5185c4a6f1959446e9df3"},"schema_version":"1.0","source":{"id":"1602.06085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06085","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06085v1","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06085","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"OJE4MCKKCMYO","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OJE4MCKKCMYOCERT","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OJE4MCKK","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:41a45af166d2b15d082843b38b27364d7537b0270eb7ea61dc8ecbef5dcc83ac","target":"graph","created_at":"2026-05-18T01:20:21Z","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 study codimension growth of infinite dimensional Lie superalgebras over an algebraically closed field of characteristic zero. We prove that if a Lie superalgebra $L$ is a Grassmann envelope of a finite dimensional simple Lie algebra then the PI-exponent of $L$ exists and it is a positive integer.","authors_text":"Du\\v{s}an Repov\\v{s}, Mikhail Zaicev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-02-19T09:26:11Z","title":"On identities of infinite dimensional Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06085","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":"sha256:47bde5b34c8ff0a6034016d33d0ead5ffb7d833e9b8b43baa6a41641f7cd8b33","target":"record","created_at":"2026-05-18T01:20:21Z","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":"61c4bbefb4cb15a4638504f0ecd497cfe7efed129ced981f9962af3217df8a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-02-19T09:26:11Z","title_canon_sha256":"72d82db5c35e8d9e66fd55e5f505fe58b0934dec4fb5185c4a6f1959446e9df3"},"schema_version":"1.0","source":{"id":"1602.06085","kind":"arxiv","version":1}},"canonical_sha256":"7249c6094a1330e112330ca0ce2ae2bf3d6c1b13825e389130d7f468090999cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7249c6094a1330e112330ca0ce2ae2bf3d6c1b13825e389130d7f468090999cd","first_computed_at":"2026-05-18T01:20:21.670480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:21.670480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yRqI6AIY46g+mT0YOP9DbmJhNgoMkERg0M/TrG4uKS7x2A5D4liurXcTxYz/U/+bWMoVG3tBL8xloQELzpGfBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:21.671165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47bde5b34c8ff0a6034016d33d0ead5ffb7d833e9b8b43baa6a41641f7cd8b33","sha256:41a45af166d2b15d082843b38b27364d7537b0270eb7ea61dc8ecbef5dcc83ac"],"state_sha256":"fa3a3856b82133cb04ba5949fbf8a3b8f3092e7d66fcbe3c44cec8624cd9522b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IJAvkFhIyfkhQfZVZh3Y/dK8x9L1JsqpDNRw6dl/X1VfYF5jc60uUac5AGW076t98hpcHmKjMp3BaPD7q2q+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:38:11.503718Z","bundle_sha256":"78165550b8c871b1a8b5fe87e8b71a40a7f8606e5fdd3e710a22cee10c495212"}}