{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:65P6TZ7OLH2G5YTTFSUSZE5X7I","short_pith_number":"pith:65P6TZ7O","schema_version":"1.0","canonical_sha256":"f75fe9e7ee59f46ee2732ca92c93b7fa1889c9ef9021f720c5b2121be251f65c","source":{"kind":"arxiv","id":"2004.08784","version":2},"attestation_state":"computed","paper":{"title":"Finite irreducible conformal modules over the Lie conformal superalgebra $\\mathcal{S}(p)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haibo Chen, Yanyong Hong, Yucai Su","submitted_at":"2020-04-19T07:09:02Z","abstract_excerpt":"In the present paper, we introduce a class of infinite Lie conformal superalgebras $\\mathcal{S}(p)$, which are closely related to Lie conformal algebras of extended Block type defined in \\cite{CHS}. Then all finite non-trivial irreducible conformal modules over $\\mathcal{S}(p)$ for $p\\in\\C^*$ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras $\\mathfrak{s}(n)$ for $n\\geq1$ and $\\mathfrak{sh}$ which is isomorphic to a subalgebra of Lie conformal algebra of $N=2$ superconformal algebr"},"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":"2004.08784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-04-19T07:09:02Z","cross_cats_sorted":[],"title_canon_sha256":"cd5a2d4ee875a5f4a29a4d7e83f8cf6741a92af58779c48665ccdf22c7ddfa77","abstract_canon_sha256":"12e9d523fa738486177e24f1c51958b8170aa1c9b5a165895fa8b1b1acc4e64a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:41:01.957152Z","signature_b64":"wbEYPjz3wQq/4WXQCX3gwKyftbB0osjNge0G8/uj8a0l6Tz6PrBazR4hGAh2KqO/we0yf4bQFqUviVxkfdgYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f75fe9e7ee59f46ee2732ca92c93b7fa1889c9ef9021f720c5b2121be251f65c","last_reissued_at":"2026-07-05T02:41:01.956590Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:41:01.956590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite irreducible conformal modules over the Lie conformal superalgebra $\\mathcal{S}(p)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haibo Chen, Yanyong Hong, Yucai Su","submitted_at":"2020-04-19T07:09:02Z","abstract_excerpt":"In the present paper, we introduce a class of infinite Lie conformal superalgebras $\\mathcal{S}(p)$, which are closely related to Lie conformal algebras of extended Block type defined in \\cite{CHS}. Then all finite non-trivial irreducible conformal modules over $\\mathcal{S}(p)$ for $p\\in\\C^*$ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras $\\mathfrak{s}(n)$ for $n\\geq1$ and $\\mathfrak{sh}$ which is isomorphic to a subalgebra of Lie conformal algebra of $N=2$ superconformal algebr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.08784","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.08784/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2004.08784","created_at":"2026-07-05T02:41:01.956654+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.08784v2","created_at":"2026-07-05T02:41:01.956654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.08784","created_at":"2026-07-05T02:41:01.956654+00:00"},{"alias_kind":"pith_short_12","alias_value":"65P6TZ7OLH2G","created_at":"2026-07-05T02:41:01.956654+00:00"},{"alias_kind":"pith_short_16","alias_value":"65P6TZ7OLH2G5YTT","created_at":"2026-07-05T02:41:01.956654+00:00"},{"alias_kind":"pith_short_8","alias_value":"65P6TZ7O","created_at":"2026-07-05T02:41:01.956654+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/65P6TZ7OLH2G5YTTFSUSZE5X7I","json":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I.json","graph_json":"https://pith.science/api/pith-number/65P6TZ7OLH2G5YTTFSUSZE5X7I/graph.json","events_json":"https://pith.science/api/pith-number/65P6TZ7OLH2G5YTTFSUSZE5X7I/events.json","paper":"https://pith.science/paper/65P6TZ7O"},"agent_actions":{"view_html":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I","download_json":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I.json","view_paper":"https://pith.science/paper/65P6TZ7O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.08784&json=true","fetch_graph":"https://pith.science/api/pith-number/65P6TZ7OLH2G5YTTFSUSZE5X7I/graph.json","fetch_events":"https://pith.science/api/pith-number/65P6TZ7OLH2G5YTTFSUSZE5X7I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I/action/storage_attestation","attest_author":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I/action/author_attestation","sign_citation":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I/action/citation_signature","submit_replication":"https://pith.science/pith/65P6TZ7OLH2G5YTTFSUSZE5X7I/action/replication_record"}},"created_at":"2026-07-05T02:41:01.956654+00:00","updated_at":"2026-07-05T02:41:01.956654+00:00"}