{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XMXNNEJHTZFQXGVI5E4BZRNYWN","short_pith_number":"pith:XMXNNEJH","canonical_record":{"source":{"id":"1809.03295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-09-06T15:27:45Z","cross_cats_sorted":[],"title_canon_sha256":"081f2bc64d99038f9388c22b862a512749f134b375b9f23101e867f84ae304f7","abstract_canon_sha256":"3ab0eff33bb0edbda901ea5182c616cc621d219b0d650194a5ce464a46a22a9c"},"schema_version":"1.0"},"canonical_sha256":"bb2ed691279e4b0b9aa8e9381cc5b8b36b16af6608211307ced452a725431da7","source":{"kind":"arxiv","id":"1809.03295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03295","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03295v2","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03295","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"pith_short_12","alias_value":"XMXNNEJHTZFQ","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMXNNEJHTZFQXGVI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMXNNEJH","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XMXNNEJHTZFQXGVI5E4BZRNYWN","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-09-06T15:27:45Z","cross_cats_sorted":[],"title_canon_sha256":"081f2bc64d99038f9388c22b862a512749f134b375b9f23101e867f84ae304f7","abstract_canon_sha256":"3ab0eff33bb0edbda901ea5182c616cc621d219b0d650194a5ce464a46a22a9c"},"schema_version":"1.0"},"canonical_sha256":"bb2ed691279e4b0b9aa8e9381cc5b8b36b16af6608211307ced452a725431da7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:39.092787Z","signature_b64":"1GJBj9VXnbBXH1W8KAxrA+CKgdHfVo1BN/7k8CzIuMuUHv3PX98/ukZYlT3aXv3OBgcifAYcwh95/AASrbDRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb2ed691279e4b0b9aa8e9381cc5b8b36b16af6608211307ced452a725431da7","last_reissued_at":"2026-05-18T00:04:39.092267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:39.092267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03295","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":"2026-05-18T00:04:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDjFvXGxETUZC05Y2PRXwHaw1PpEegB/1cfB/v0qmO/qiZvAd5EZq99TQ8CTwv/HKg3C/WdMJNRLFxJUKajNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:35.785002Z"},"content_sha256":"05ab5ed5afda23fce02b1dcf2886fae86f7eb86aef17d99b51b39c7a185f3f2b","schema_version":"1.0","event_id":"sha256:05ab5ed5afda23fce02b1dcf2886fae86f7eb86aef17d99b51b39c7a185f3f2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XMXNNEJHTZFQXGVI5E4BZRNYWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schrodinger-Virasoro Lie $H$-pseudoalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Zhixiang Wu","submitted_at":"2018-09-06T15:27:45Z","abstract_excerpt":"Schrodinger-Virasoro Lie algebras are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists. Conformal algebras are also called H-pseudoalgebras, where H = k[s] is the polynomial algebra over a field k. In this article, we introduce and classify Schrodinger-Virasoro Lie H-pseudoalgebras. Meanwhile we also determine all Leibniz H-pseudoalgebras of rank two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03295","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":"2026-05-18T00:04:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PP2qcwlQejJo+pTzU1Hph1OZyoI3Wa1Ix9C9BaiEKkd6DuMRmUb1/0/kaowZgywgjOMjrcI+c7No4N5VbtwDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:35.785363Z"},"content_sha256":"fcefb797a3df0a8786de8999e1b69a906a2a69a2ae2405ab725e8d89f92c53f1","schema_version":"1.0","event_id":"sha256:fcefb797a3df0a8786de8999e1b69a906a2a69a2ae2405ab725e8d89f92c53f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/bundle.json","state_url":"https://pith.science/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/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":"2026-06-06T19:56:35Z","links":{"resolver":"https://pith.science/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN","bundle":"https://pith.science/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/bundle.json","state":"https://pith.science/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XMXNNEJHTZFQXGVI5E4BZRNYWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XMXNNEJHTZFQXGVI5E4BZRNYWN","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":"3ab0eff33bb0edbda901ea5182c616cc621d219b0d650194a5ce464a46a22a9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-09-06T15:27:45Z","title_canon_sha256":"081f2bc64d99038f9388c22b862a512749f134b375b9f23101e867f84ae304f7"},"schema_version":"1.0","source":{"id":"1809.03295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03295","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03295v2","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03295","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"pith_short_12","alias_value":"XMXNNEJHTZFQ","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMXNNEJHTZFQXGVI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMXNNEJH","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:fcefb797a3df0a8786de8999e1b69a906a2a69a2ae2405ab725e8d89f92c53f1","target":"graph","created_at":"2026-05-18T00:04:39Z","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":"Schrodinger-Virasoro Lie algebras are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists. Conformal algebras are also called H-pseudoalgebras, where H = k[s] is the polynomial algebra over a field k. In this article, we introduce and classify Schrodinger-Virasoro Lie H-pseudoalgebras. Meanwhile we also determine all Leibniz H-pseudoalgebras of rank two.","authors_text":"Zhixiang Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-09-06T15:27:45Z","title":"Schrodinger-Virasoro Lie $H$-pseudoalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03295","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":"sha256:05ab5ed5afda23fce02b1dcf2886fae86f7eb86aef17d99b51b39c7a185f3f2b","target":"record","created_at":"2026-05-18T00:04:39Z","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":"3ab0eff33bb0edbda901ea5182c616cc621d219b0d650194a5ce464a46a22a9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-09-06T15:27:45Z","title_canon_sha256":"081f2bc64d99038f9388c22b862a512749f134b375b9f23101e867f84ae304f7"},"schema_version":"1.0","source":{"id":"1809.03295","kind":"arxiv","version":2}},"canonical_sha256":"bb2ed691279e4b0b9aa8e9381cc5b8b36b16af6608211307ced452a725431da7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb2ed691279e4b0b9aa8e9381cc5b8b36b16af6608211307ced452a725431da7","first_computed_at":"2026-05-18T00:04:39.092267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:39.092267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1GJBj9VXnbBXH1W8KAxrA+CKgdHfVo1BN/7k8CzIuMuUHv3PX98/ukZYlT3aXv3OBgcifAYcwh95/AASrbDRDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:39.092787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05ab5ed5afda23fce02b1dcf2886fae86f7eb86aef17d99b51b39c7a185f3f2b","sha256:fcefb797a3df0a8786de8999e1b69a906a2a69a2ae2405ab725e8d89f92c53f1"],"state_sha256":"f2e9d59938e2068c5b8f5cc47f45f5f660bc34d17c8cab5c0733440bd73a6e3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhgvTE2hhF5VwKcTe5TQgq9byNuspwgdHKqMQTOxv17OJ0Zr45SDLdcg+eCHXKdMH4Dm9BODGGa8ZWqyRbSfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:56:35.788236Z","bundle_sha256":"a2d2b022984db524408323099fdc5b4e2b38013ada49b723eb6c4f6d6ad37eee"}}