{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:N54M3RKGU25NXPKF5Y7A5UGKQW","short_pith_number":"pith:N54M3RKG","canonical_record":{"source":{"id":"math-ph/0312042","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-12-15T20:39:24Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"15babcf2de42a30a940dc29d3cfa021bf4d041f7b359ef7856bd55f94035a75a","abstract_canon_sha256":"e01be2d6fbcdbc8432b7f5f456ee746f679fded217fef8306ac5ff630b8892b3"},"schema_version":"1.0"},"canonical_sha256":"6f78cdc546a6badbbd45ee3e0ed0ca85a5889571850c791367647f5498b7e93e","source":{"kind":"arxiv","id":"math-ph/0312042","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0312042","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0312042v3","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0312042","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"N54M3RKGU25N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"N54M3RKGU25NXPKF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"N54M3RKG","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:N54M3RKGU25NXPKF5Y7A5UGKQW","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0312042","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-12-15T20:39:24Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"15babcf2de42a30a940dc29d3cfa021bf4d041f7b359ef7856bd55f94035a75a","abstract_canon_sha256":"e01be2d6fbcdbc8432b7f5f456ee746f679fded217fef8306ac5ff630b8892b3"},"schema_version":"1.0"},"canonical_sha256":"6f78cdc546a6badbbd45ee3e0ed0ca85a5889571850c791367647f5498b7e93e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:09.258601Z","signature_b64":"/xzST/J51N+qHWw4l3TWTk8Jk9AG4CSE8GO5kLkNYneGhvY67vZUB2/0EhZj+XG1000GqGtUp1r9+IW48EhuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f78cdc546a6badbbd45ee3e0ed0ca85a5889571850c791367647f5498b7e93e","last_reissued_at":"2026-05-18T01:24:09.257882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:09.257882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0312042","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lhd9tIuiQT+1D5viDUXnC7l3WqSUxJzvm4t4CZgQMG3wUQEcsGyiCjf+TS/DoRuFAL9jrnUREileCsa8NTaBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:08:24.543698Z"},"content_sha256":"598c449b065259a4387d60a98472c17a78f38ba6dd5b630ca7fdecd113c39003","schema_version":"1.0","event_id":"sha256:598c449b065259a4387d60a98472c17a78f38ba6dd5b630ca7fdecd113c39003"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:N54M3RKGU25NXPKF5Y7A5UGKQW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Freely generated vertex algebras and non-linear Lie conformal algebras","license":"","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Alberto De Sole, Victor Kac","submitted_at":"2003-12-15T20:39:24Z","abstract_excerpt":"We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra. This correspondence will be applied in the subsequent work to the problem of classification of finitely generated simple graded vertex algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0312042","kind":"arxiv","version":3},"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":"2026-05-18T01:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F9qTbWhoyIlMI7Q85KVwctLsofzUNeZUVlzlGFgIyhjxzo/k/yEY/l5SfF9Ih2j1TgRMRihpKwZYvgvZ3fjPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:08:24.544049Z"},"content_sha256":"de5a76f3586a56a9be338630896ab5e3126a9de56c434d145c7d3b4ff17924e8","schema_version":"1.0","event_id":"sha256:de5a76f3586a56a9be338630896ab5e3126a9de56c434d145c7d3b4ff17924e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/bundle.json","state_url":"https://pith.science/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/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":"2026-06-04T23:08:24Z","links":{"resolver":"https://pith.science/pith/N54M3RKGU25NXPKF5Y7A5UGKQW","bundle":"https://pith.science/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/bundle.json","state":"https://pith.science/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N54M3RKGU25NXPKF5Y7A5UGKQW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:N54M3RKGU25NXPKF5Y7A5UGKQW","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":"e01be2d6fbcdbc8432b7f5f456ee746f679fded217fef8306ac5ff630b8892b3","cross_cats_sorted":["math.MP","nlin.SI"],"license":"","primary_cat":"math-ph","submitted_at":"2003-12-15T20:39:24Z","title_canon_sha256":"15babcf2de42a30a940dc29d3cfa021bf4d041f7b359ef7856bd55f94035a75a"},"schema_version":"1.0","source":{"id":"math-ph/0312042","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0312042","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0312042v3","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0312042","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"N54M3RKGU25N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"N54M3RKGU25NXPKF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"N54M3RKG","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:de5a76f3586a56a9be338630896ab5e3126a9de56c434d145c7d3b4ff17924e8","target":"graph","created_at":"2026-05-18T01:24:09Z","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 introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra. This correspondence will be applied in the subsequent work to the problem of classification of finitely generated simple graded vertex algebras.","authors_text":"Alberto De Sole, Victor Kac","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2003-12-15T20:39:24Z","title":"Freely generated vertex algebras and non-linear Lie conformal algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0312042","kind":"arxiv","version":3},"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":"sha256:598c449b065259a4387d60a98472c17a78f38ba6dd5b630ca7fdecd113c39003","target":"record","created_at":"2026-05-18T01:24:09Z","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":"e01be2d6fbcdbc8432b7f5f456ee746f679fded217fef8306ac5ff630b8892b3","cross_cats_sorted":["math.MP","nlin.SI"],"license":"","primary_cat":"math-ph","submitted_at":"2003-12-15T20:39:24Z","title_canon_sha256":"15babcf2de42a30a940dc29d3cfa021bf4d041f7b359ef7856bd55f94035a75a"},"schema_version":"1.0","source":{"id":"math-ph/0312042","kind":"arxiv","version":3}},"canonical_sha256":"6f78cdc546a6badbbd45ee3e0ed0ca85a5889571850c791367647f5498b7e93e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f78cdc546a6badbbd45ee3e0ed0ca85a5889571850c791367647f5498b7e93e","first_computed_at":"2026-05-18T01:24:09.257882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:09.257882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/xzST/J51N+qHWw4l3TWTk8Jk9AG4CSE8GO5kLkNYneGhvY67vZUB2/0EhZj+XG1000GqGtUp1r9+IW48EhuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:09.258601Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0312042","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:598c449b065259a4387d60a98472c17a78f38ba6dd5b630ca7fdecd113c39003","sha256:de5a76f3586a56a9be338630896ab5e3126a9de56c434d145c7d3b4ff17924e8"],"state_sha256":"c9f4d8ee83276360fa90cab89c5121a240602a002c7a18737a927aa479cf5935"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"upU6XhboLPbWuXSAi2tCjMYenj1OsagBSe1UEgNKOFMtTYNVhzJ+qoJHLDI0aineGT9kRDBtUU3trNrp3E6JAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:08:24.546370Z","bundle_sha256":"fdcbdeb06e6bb98c2987a9a096cedb1f2120916805200ea59536fa0055cb833e"}}