{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MXUSSVS72HFCCC7CAXCJDYKDMH","short_pith_number":"pith:MXUSSVS7","schema_version":"1.0","canonical_sha256":"65e929565fd1ca210be205c491e14361fbac5ff962ff68b1da630cd97254b213","source":{"kind":"arxiv","id":"1705.09452","version":1},"attestation_state":"computed","paper":{"title":"Representations of Super $W(2,2)$ algebra $\\mathfrak{L}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Hao Wang, Huanxia Fa, Junbo Li","submitted_at":"2017-05-26T06:50:05Z","abstract_excerpt":"In paper, we study the representation theory of super $W(2,2)$ algebra ${\\mathfrak{L}}$. We prove that ${\\mathfrak{L}}$ has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of ${\\mathfrak{L}}$ and give the unitary modules of intermediate series."},"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":"1705.09452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-26T06:50:05Z","cross_cats_sorted":[],"title_canon_sha256":"edbcab2fe00280c4743851d108a9e2573be414709eca27792634a61e8192f68c","abstract_canon_sha256":"ca2bfbdd5aef98fb15587ecfbcd37b861a92f9a097b5255f05fd4f3276450776"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:38.665440Z","signature_b64":"ihViYqKGIcvBtb62CdIbmEkZ9tQtZZtH3tpx9TUr76zRMQ5ZFKW0LkrpgadSTcGkEKTsLlOJNmxtprVc3wf0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65e929565fd1ca210be205c491e14361fbac5ff962ff68b1da630cd97254b213","last_reissued_at":"2026-05-18T00:43:38.664838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:38.664838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representations of Super $W(2,2)$ algebra $\\mathfrak{L}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Hao Wang, Huanxia Fa, Junbo Li","submitted_at":"2017-05-26T06:50:05Z","abstract_excerpt":"In paper, we study the representation theory of super $W(2,2)$ algebra ${\\mathfrak{L}}$. We prove that ${\\mathfrak{L}}$ has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of ${\\mathfrak{L}}$ and give the unitary modules of intermediate series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09452","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":"1705.09452","created_at":"2026-05-18T00:43:38.664935+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.09452v1","created_at":"2026-05-18T00:43:38.664935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09452","created_at":"2026-05-18T00:43:38.664935+00:00"},{"alias_kind":"pith_short_12","alias_value":"MXUSSVS72HFC","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MXUSSVS72HFCCC7C","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MXUSSVS7","created_at":"2026-05-18T12:31:31.346846+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/MXUSSVS72HFCCC7CAXCJDYKDMH","json":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH.json","graph_json":"https://pith.science/api/pith-number/MXUSSVS72HFCCC7CAXCJDYKDMH/graph.json","events_json":"https://pith.science/api/pith-number/MXUSSVS72HFCCC7CAXCJDYKDMH/events.json","paper":"https://pith.science/paper/MXUSSVS7"},"agent_actions":{"view_html":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH","download_json":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH.json","view_paper":"https://pith.science/paper/MXUSSVS7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.09452&json=true","fetch_graph":"https://pith.science/api/pith-number/MXUSSVS72HFCCC7CAXCJDYKDMH/graph.json","fetch_events":"https://pith.science/api/pith-number/MXUSSVS72HFCCC7CAXCJDYKDMH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH/action/storage_attestation","attest_author":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH/action/author_attestation","sign_citation":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH/action/citation_signature","submit_replication":"https://pith.science/pith/MXUSSVS72HFCCC7CAXCJDYKDMH/action/replication_record"}},"created_at":"2026-05-18T00:43:38.664935+00:00","updated_at":"2026-05-18T00:43:38.664935+00:00"}