{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:ZBHBMJMRL5D4Y7KSM5TVVA52EZ","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":"26d0bd0c0fbb39a96903f10f2fbbd4d2619d497813275c10dd7dc09699ebf4be","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.QA","submitted_at":"2001-02-16T22:26:10Z","title_canon_sha256":"3b0fa8229590dc4e91f33a771713a5cf677bbbdafb4f2969f49fe1d92de49709"},"schema_version":"1.0","source":{"id":"math/0102127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0102127","created_at":"2026-07-04T14:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"math/0102127v1","created_at":"2026-07-04T14:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0102127","created_at":"2026-07-04T14:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZBHBMJMRL5D4","created_at":"2026-07-04T14:49:40Z"},{"alias_kind":"pith_short_16","alias_value":"ZBHBMJMRL5D4Y7KS","created_at":"2026-07-04T14:49:40Z"},{"alias_kind":"pith_short_8","alias_value":"ZBHBMJMR","created_at":"2026-07-04T14:49:40Z"}],"graph_snapshots":[{"event_id":"sha256:76d034504de0c1f5a6dab93d03c0897d036f06361d5f5086b5e62999607e94b2","target":"graph","created_at":"2026-07-04T14:49:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0102127/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.","authors_text":"C. Dong, G. Mason, H. Li","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2001-02-16T22:26:10Z","title":"Vertex Lie algebras, vertex Poisson algebras and vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0102127","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":"sha256:193161f949d81bf595f7b7566f3bb6a2c3c4145c2061e11adfb04e141d0e54c0","target":"record","created_at":"2026-07-04T14:49:40Z","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":"26d0bd0c0fbb39a96903f10f2fbbd4d2619d497813275c10dd7dc09699ebf4be","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.QA","submitted_at":"2001-02-16T22:26:10Z","title_canon_sha256":"3b0fa8229590dc4e91f33a771713a5cf677bbbdafb4f2969f49fe1d92de49709"},"schema_version":"1.0","source":{"id":"math/0102127","kind":"arxiv","version":1}},"canonical_sha256":"c84e1625915f47cc7d5267675a83ba2662bad768dac76bd4ff3dd12fc80d96f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c84e1625915f47cc7d5267675a83ba2662bad768dac76bd4ff3dd12fc80d96f7","first_computed_at":"2026-07-04T14:49:40.586382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:49:40.586382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Ob2FkdHNamD8qDr0/G5XdZdxxq5pe2o2IB7SrKOVbtQ9EKUfipCASsJWg8+MN+t+iKRhA4gS+mumkE1zi22BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:49:40.586778Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0102127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:193161f949d81bf595f7b7566f3bb6a2c3c4145c2061e11adfb04e141d0e54c0","sha256:76d034504de0c1f5a6dab93d03c0897d036f06361d5f5086b5e62999607e94b2"],"state_sha256":"52577df11b11bfc8cfc868b0b573a44bea46987c680173e85b208424cb2130e5"}