{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EA2UXI7ZK32IPAS65GACR5UAFK","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":"88f52555ae8f3230b87418c60374016cec8e41998c7937d7baa457259a3a1a7b","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-11-04T14:19:07Z","title_canon_sha256":"8a717be8b56263085b46cc5e8a832a283faa87e9bb9f270f0edbe68a58d6f1b6"},"schema_version":"1.0","source":{"id":"2311.02410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.02410","created_at":"2026-07-05T09:46:43Z"},{"alias_kind":"arxiv_version","alias_value":"2311.02410v1","created_at":"2026-07-05T09:46:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.02410","created_at":"2026-07-05T09:46:43Z"},{"alias_kind":"pith_short_12","alias_value":"EA2UXI7ZK32I","created_at":"2026-07-05T09:46:43Z"},{"alias_kind":"pith_short_16","alias_value":"EA2UXI7ZK32IPAS6","created_at":"2026-07-05T09:46:43Z"},{"alias_kind":"pith_short_8","alias_value":"EA2UXI7Z","created_at":"2026-07-05T09:46:43Z"}],"graph_snapshots":[{"event_id":"sha256:a148d106b5d771f1da913d35642a70f7076bddc3bfd82ae1d2a8aa9fae829d74","target":"graph","created_at":"2026-07-05T09:46:43Z","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/2311.02410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the double Yangian associated with the Lie superalgebra $\\mathfrak{gl}_{m|n}$. Our main focus is on establishing the Poincar\\'{e}-Birkhoff-Witt Theorem for the double Yangian and constructing its central elements in the form of coefficients of the quantum contraction. Next, as an application, we introduce reflection algebras, certain left coideal subalgebras of the level 0 double Yangian, and find their presentations by generators and relations.","authors_text":"Lucia Bagnoli, Slaven Ko\\v{z}i\\'c","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-11-04T14:19:07Z","title":"Double Yangian and reflection algebras of the Lie superalgebra $\\mathfrak{gl}_{m|n}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.02410","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:f0144904ab864f5158c5fc87ff13c5adbd6ca74c4348623a22d363faaeef588e","target":"record","created_at":"2026-07-05T09:46:43Z","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":"88f52555ae8f3230b87418c60374016cec8e41998c7937d7baa457259a3a1a7b","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-11-04T14:19:07Z","title_canon_sha256":"8a717be8b56263085b46cc5e8a832a283faa87e9bb9f270f0edbe68a58d6f1b6"},"schema_version":"1.0","source":{"id":"2311.02410","kind":"arxiv","version":1}},"canonical_sha256":"20354ba3f956f487825ee98028f6802ab36edf7916bd8b7b74c012b14d71cfc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20354ba3f956f487825ee98028f6802ab36edf7916bd8b7b74c012b14d71cfc2","first_computed_at":"2026-07-05T09:46:43.334486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:43.334486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VnkvSQUJ5xDnP3U6ExRtmwSJk2arS8ytdJHxJLC0dncBPLAjTICEUJZ6I+8VvytP/n0+cChSjnsCgz1VrRCrDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:43.335088Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.02410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0144904ab864f5158c5fc87ff13c5adbd6ca74c4348623a22d363faaeef588e","sha256:a148d106b5d771f1da913d35642a70f7076bddc3bfd82ae1d2a8aa9fae829d74"],"state_sha256":"4776b5684cd025cb63b01a2c21f31d7013df86e4078abaeddffa17c02254cb70"}