{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GOUHVUABGPCXDRUQLLVY7G43MZ","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":"e1bab0989e2d61df98c7f4e4c8336c94ba177241a70ea0e8384328611c10459b","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2026-05-22T15:58:02Z","title_canon_sha256":"d969fa0f84ea9a7324cf36bb88a7e31dffeedf575aa74d7d56479bf501be600f"},"schema_version":"1.0","source":{"id":"2605.23799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23799","created_at":"2026-05-25T02:02:33Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23799v1","created_at":"2026-05-25T02:02:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23799","created_at":"2026-05-25T02:02:33Z"},{"alias_kind":"pith_short_12","alias_value":"GOUHVUABGPCX","created_at":"2026-05-25T02:02:33Z"},{"alias_kind":"pith_short_16","alias_value":"GOUHVUABGPCXDRUQ","created_at":"2026-05-25T02:02:33Z"},{"alias_kind":"pith_short_8","alias_value":"GOUHVUAB","created_at":"2026-05-25T02:02:33Z"}],"graph_snapshots":[{"event_id":"sha256:e7a71f481382433df9d2994c7f3c74bc5dab3b547fdf66dfc760e4b62cb27bf4","target":"graph","created_at":"2026-05-25T02:02:33Z","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/2605.23799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study Rota--Baxter operators on vertex algebras using the integrated $\\lambda$-bracket formalism. A Rota--Baxter operator produces a deformed vertex algebra structure, and the difference between the deformed and original brackets yields a two-cocycle in vertex algebra cohomology. This generalizes the classical relation between Rota--Baxter operators and Hochschild two-cocycles. We also characterize when this two-cocycle is trivial, showing that non-scalar operators give rise to non-trivial cohomology classes.","authors_text":"Hassan AlHussein","cross_cats":["math.RA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2026-05-22T15:58:02Z","title":"Rota--Baxter operators on vertex algebras in integrated $\\lambda$-bracket formalism and their associated 2-cocycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23799","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:a29b7ae7303f5299222dd1c960b1c33ae69f2bec2bbb7f17e38454862dd9b8d2","target":"record","created_at":"2026-05-25T02:02:33Z","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":"e1bab0989e2d61df98c7f4e4c8336c94ba177241a70ea0e8384328611c10459b","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2026-05-22T15:58:02Z","title_canon_sha256":"d969fa0f84ea9a7324cf36bb88a7e31dffeedf575aa74d7d56479bf501be600f"},"schema_version":"1.0","source":{"id":"2605.23799","kind":"arxiv","version":1}},"canonical_sha256":"33a87ad00133c571c6905aeb8f9b9b6645dfda45e4db769ec220372ce3963244","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33a87ad00133c571c6905aeb8f9b9b6645dfda45e4db769ec220372ce3963244","first_computed_at":"2026-05-25T02:02:33.128934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:33.128934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WblM+mVzpaTC6QlDE/lTjKqxOt8u9c7hfLu+h3S49Me1jSykmwtLElUlQQRdGAeKfCQAx/Tsbl8EU1e/65rdCQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:33.129741Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a29b7ae7303f5299222dd1c960b1c33ae69f2bec2bbb7f17e38454862dd9b8d2","sha256:e7a71f481382433df9d2994c7f3c74bc5dab3b547fdf66dfc760e4b62cb27bf4"],"state_sha256":"e0f1e20efbd6e9711faebe49ba7814d5250589b40f13ad1c1b4d872c6b7eadcb"}