{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:RTDWSUCT2SNZITT6K522GF6C7O","short_pith_number":"pith:RTDWSUCT","schema_version":"1.0","canonical_sha256":"8cc7695053d49b944e7e5775a317c2fb960bc269dd06a6ab723ebbd68be5757d","source":{"kind":"arxiv","id":"1810.12577","version":1},"attestation_state":"computed","paper":{"title":"Whittaker modules for the super-Virasoro algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.RT","authors_text":"Dong Liu, Limeng Xia, Yufeng Pei","submitted_at":"2018-10-30T08:35:49Z","abstract_excerpt":"In this paper, we define and study Whittaker modules for the super-Viraoro algebras, including the Neveu-Schwarz algebra and the Ramond algebra. We classify the simple Whittaker modules and obtain necessary and sufficient conditions for irreducibility of these modules."},"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":"1810.12577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-10-30T08:35:49Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"beee313606cc21be7af1f640841e60546b429335d1cf0f2007459bc342da3740","abstract_canon_sha256":"4e736dc205e9d57a5d117703623764e6ea44bc7ca1a359e07505f66b5d211f94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:56.626127Z","signature_b64":"x/NC4bkYeZCXh/SJUh0saPAhhiujU/JgspJGmsNgvmnocgVT3ELRwczFem1QxwNpRT6J7ZpFD3LvuEfiXQjuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cc7695053d49b944e7e5775a317c2fb960bc269dd06a6ab723ebbd68be5757d","last_reissued_at":"2026-05-18T00:01:56.625614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:56.625614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Whittaker modules for the super-Virasoro algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.RT","authors_text":"Dong Liu, Limeng Xia, Yufeng Pei","submitted_at":"2018-10-30T08:35:49Z","abstract_excerpt":"In this paper, we define and study Whittaker modules for the super-Viraoro algebras, including the Neveu-Schwarz algebra and the Ramond algebra. We classify the simple Whittaker modules and obtain necessary and sufficient conditions for irreducibility of these modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12577","kind":"arxiv","version":1},"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":"1810.12577","created_at":"2026-05-18T00:01:56.625685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.12577v1","created_at":"2026-05-18T00:01:56.625685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12577","created_at":"2026-05-18T00:01:56.625685+00:00"},{"alias_kind":"pith_short_12","alias_value":"RTDWSUCT2SNZ","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"RTDWSUCT2SNZITT6","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"RTDWSUCT","created_at":"2026-05-18T12:32:50.500415+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/RTDWSUCT2SNZITT6K522GF6C7O","json":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O.json","graph_json":"https://pith.science/api/pith-number/RTDWSUCT2SNZITT6K522GF6C7O/graph.json","events_json":"https://pith.science/api/pith-number/RTDWSUCT2SNZITT6K522GF6C7O/events.json","paper":"https://pith.science/paper/RTDWSUCT"},"agent_actions":{"view_html":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O","download_json":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O.json","view_paper":"https://pith.science/paper/RTDWSUCT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.12577&json=true","fetch_graph":"https://pith.science/api/pith-number/RTDWSUCT2SNZITT6K522GF6C7O/graph.json","fetch_events":"https://pith.science/api/pith-number/RTDWSUCT2SNZITT6K522GF6C7O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O/action/storage_attestation","attest_author":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O/action/author_attestation","sign_citation":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O/action/citation_signature","submit_replication":"https://pith.science/pith/RTDWSUCT2SNZITT6K522GF6C7O/action/replication_record"}},"created_at":"2026-05-18T00:01:56.625685+00:00","updated_at":"2026-05-18T00:01:56.625685+00:00"}