{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WFHD4OCDS2EO4VIMMPCVJX43GC","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":"c1adf2ae761f0439a788211a80902437073a3ff6378a782e4d66a2d29db37225","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-31T13:02:38Z","title_canon_sha256":"48903d4b0048d5fb112a81c9409e67e45c61d1576ce7a7c472e7f87a3819ac28"},"schema_version":"1.0","source":{"id":"1301.7603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7603","created_at":"2026-05-18T03:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7603v1","created_at":"2026-05-18T03:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7603","created_at":"2026-05-18T03:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"WFHD4OCDS2EO","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WFHD4OCDS2EO4VIM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WFHD4OCD","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:3d665354016fa2d6208c5eba03fa41a509099a0763bc4d49c38a80934f801821","target":"graph","created_at":"2026-05-18T03:34:49Z","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":"A theory of quasi modules at infinity for (weak) quantum vertex algebras including vertex algebras was previously developed in \\cite{li-infinity}. In this current paper, quasi modules at infinity for vertex algebras are revisited. Among the main results, we extend some technical results, to fill in a gap in the proof of a theorem therein, and we obtain a commutator formula for general quasi modules at infinity and establish a version of the converse of the aforementioned theorem.","authors_text":"Haisheng Li, Qiang Mu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-31T13:02:38Z","title":"On quasi modules at infinity for vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7603","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:bdf9d35cb56b5c8430ecd1a72890236655e1e200359bc26ac94e4a1ce11cc10b","target":"record","created_at":"2026-05-18T03:34:49Z","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":"c1adf2ae761f0439a788211a80902437073a3ff6378a782e4d66a2d29db37225","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-31T13:02:38Z","title_canon_sha256":"48903d4b0048d5fb112a81c9409e67e45c61d1576ce7a7c472e7f87a3819ac28"},"schema_version":"1.0","source":{"id":"1301.7603","kind":"arxiv","version":1}},"canonical_sha256":"b14e3e38439688ee550c63c554df9b30ab139dbd566486a442dc51a70babcbb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b14e3e38439688ee550c63c554df9b30ab139dbd566486a442dc51a70babcbb0","first_computed_at":"2026-05-18T03:34:49.132693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:49.132693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOeEOIR+IahQxzyp65u18tXiGuxLw9f5KO421MGa8R6SlgF78ZVmYeH/elG26P9Put/khODJZ9q+nx5Ijs8YAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:49.133252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdf9d35cb56b5c8430ecd1a72890236655e1e200359bc26ac94e4a1ce11cc10b","sha256:3d665354016fa2d6208c5eba03fa41a509099a0763bc4d49c38a80934f801821"],"state_sha256":"061a885e28d7c4ee4580dce8aaeec001a4dbc2ea57fdec9c0bb2e4f7c2726a94"}