{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UXYD2BYY2LQYMLWSQW7DWEQEA6","short_pith_number":"pith:UXYD2BYY","schema_version":"1.0","canonical_sha256":"a5f03d0718d2e1862ed285be3b120407b9c69b0c8a968cc06aec29e08f5a9a00","source":{"kind":"arxiv","id":"1809.09394","version":2},"attestation_state":"computed","paper":{"title":"Large annihilator category O for sl_{\\infty}, o_{\\infty}, sp_{\\infty}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Penkov, Vera Serganova","submitted_at":"2018-09-25T10:12:01Z","abstract_excerpt":"We construct a new analogue of the BGG category $\\mathcal O$ for the infinite-dimensional Lie algebras $\\fg=\\mathfrak{sl}(\\infty),\\mathfrak{o}(\\infty), \\mathfrak{sp}(\\infty)$. A main difference with the categories studied in \\cite{Nam} and \\cite{CP} is that all objects of our category satisfy the large annihilator condition introduced in \\cite{DPS}. Despite the fact that the splitting Borel subalgebras $\\fb$ of $\\fg$ are not conjugate, one can eliminate the dependency on the choice of $\\fb$ and introduce a universal highest weight category $\\mathcal {OLA}$ of $\\fg$-modules, the letters $\\mathc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.09394","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-09-25T10:12:01Z","cross_cats_sorted":[],"title_canon_sha256":"90921fa97e46662f6eaf474f084b3cae47605d22f1ed07c23be33a23dfb4fde2","abstract_canon_sha256":"f2b72eef7e3d694dfbc7c422d500243b77f5302ff3f91cc313228d14687f9358"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:15.530625Z","signature_b64":"cU8H3oZhQ3DBr8iFF/TbIzfAsNdvUhpc0D07bYpJs5k10GNnrX5m1zwi3PzO3nf3lD7AjqA2MGOuDL4VLWpsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5f03d0718d2e1862ed285be3b120407b9c69b0c8a968cc06aec29e08f5a9a00","last_reissued_at":"2026-05-17T23:52:15.529944Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:15.529944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large annihilator category O for sl_{\\infty}, o_{\\infty}, sp_{\\infty}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Penkov, Vera Serganova","submitted_at":"2018-09-25T10:12:01Z","abstract_excerpt":"We construct a new analogue of the BGG category $\\mathcal O$ for the infinite-dimensional Lie algebras $\\fg=\\mathfrak{sl}(\\infty),\\mathfrak{o}(\\infty), \\mathfrak{sp}(\\infty)$. A main difference with the categories studied in \\cite{Nam} and \\cite{CP} is that all objects of our category satisfy the large annihilator condition introduced in \\cite{DPS}. Despite the fact that the splitting Borel subalgebras $\\fb$ of $\\fg$ are not conjugate, one can eliminate the dependency on the choice of $\\fb$ and introduce a universal highest weight category $\\mathcal {OLA}$ of $\\fg$-modules, the letters $\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09394","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.09394","created_at":"2026-05-17T23:52:15.530044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.09394v2","created_at":"2026-05-17T23:52:15.530044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09394","created_at":"2026-05-17T23:52:15.530044+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXYD2BYY2LQY","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXYD2BYY2LQYMLWS","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXYD2BYY","created_at":"2026-05-18T12:32:56.356000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6","json":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6.json","graph_json":"https://pith.science/api/pith-number/UXYD2BYY2LQYMLWSQW7DWEQEA6/graph.json","events_json":"https://pith.science/api/pith-number/UXYD2BYY2LQYMLWSQW7DWEQEA6/events.json","paper":"https://pith.science/paper/UXYD2BYY"},"agent_actions":{"view_html":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6","download_json":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6.json","view_paper":"https://pith.science/paper/UXYD2BYY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.09394&json=true","fetch_graph":"https://pith.science/api/pith-number/UXYD2BYY2LQYMLWSQW7DWEQEA6/graph.json","fetch_events":"https://pith.science/api/pith-number/UXYD2BYY2LQYMLWSQW7DWEQEA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6/action/storage_attestation","attest_author":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6/action/author_attestation","sign_citation":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6/action/citation_signature","submit_replication":"https://pith.science/pith/UXYD2BYY2LQYMLWSQW7DWEQEA6/action/replication_record"}},"created_at":"2026-05-17T23:52:15.530044+00:00","updated_at":"2026-05-17T23:52:15.530044+00:00"}