{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MT2U6TPI4GOUVFFJMYLX66ZPVT","short_pith_number":"pith:MT2U6TPI","schema_version":"1.0","canonical_sha256":"64f54f4de8e19d4a94a966177f7b2facef7974fea6717129db47bb5ca50b672f","source":{"kind":"arxiv","id":"1712.06806","version":1},"attestation_state":"computed","paper":{"title":"Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Chunguang Xia, Lamei Yuan, Yucai Su","submitted_at":"2017-12-19T07:37:23Z","abstract_excerpt":"We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras ${\\frak {B}}(p)$ of Block type, where $p$ is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over ${\\frak {B}}(p)$ may be a nontrivial extension of a finite conformal module over ${\\frak {Vir}}$ if $p=-1$, where ${\\frak {Vir}}$ is a Virasoro conformal subalgebra of ${\\frak {B}}(p)$. As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras ${\\frak b}(n)$ for $n\\ge1$."},"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":"1712.06806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-12-19T07:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"ff4a71679582a5c286abd4481aa6d76589744d8e8e7118ca774ec0b62985d4c8","abstract_canon_sha256":"2dc3222efc1103af38ad7fd7af970702dd457fe5b25f4ef0317ddbb8b856ddb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:40.383602Z","signature_b64":"YyipHhPSJHTYFceduci8RtVjDRXcQ0fq3P1x6EKg3zycb7EBn+3u5d/iRNIL/56aisOQ3EOXCNlBQ5Sf864QBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f54f4de8e19d4a94a966177f7b2facef7974fea6717129db47bb5ca50b672f","last_reissued_at":"2026-05-18T00:27:40.382874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:40.382874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Chunguang Xia, Lamei Yuan, Yucai Su","submitted_at":"2017-12-19T07:37:23Z","abstract_excerpt":"We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras ${\\frak {B}}(p)$ of Block type, where $p$ is a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over ${\\frak {B}}(p)$ may be a nontrivial extension of a finite conformal module over ${\\frak {Vir}}$ if $p=-1$, where ${\\frak {Vir}}$ is a Virasoro conformal subalgebra of ${\\frak {B}}(p)$. As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras ${\\frak b}(n)$ for $n\\ge1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06806","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":"1712.06806","created_at":"2026-05-18T00:27:40.382985+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.06806v1","created_at":"2026-05-18T00:27:40.382985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06806","created_at":"2026-05-18T00:27:40.382985+00:00"},{"alias_kind":"pith_short_12","alias_value":"MT2U6TPI4GOU","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MT2U6TPI4GOUVFFJ","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MT2U6TPI","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/MT2U6TPI4GOUVFFJMYLX66ZPVT","json":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT.json","graph_json":"https://pith.science/api/pith-number/MT2U6TPI4GOUVFFJMYLX66ZPVT/graph.json","events_json":"https://pith.science/api/pith-number/MT2U6TPI4GOUVFFJMYLX66ZPVT/events.json","paper":"https://pith.science/paper/MT2U6TPI"},"agent_actions":{"view_html":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT","download_json":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT.json","view_paper":"https://pith.science/paper/MT2U6TPI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.06806&json=true","fetch_graph":"https://pith.science/api/pith-number/MT2U6TPI4GOUVFFJMYLX66ZPVT/graph.json","fetch_events":"https://pith.science/api/pith-number/MT2U6TPI4GOUVFFJMYLX66ZPVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT/action/storage_attestation","attest_author":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT/action/author_attestation","sign_citation":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT/action/citation_signature","submit_replication":"https://pith.science/pith/MT2U6TPI4GOUVFFJMYLX66ZPVT/action/replication_record"}},"created_at":"2026-05-18T00:27:40.382985+00:00","updated_at":"2026-05-18T00:27:40.382985+00:00"}