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Then conformal derivations of $\\mathscr{CW}$ are determined. Finally, rank one conformal modules and $\\mathbb{Z}$-graded free intermediate series modules over $\\mathscr{CW}$ are classified."},"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":"1311.0106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-01T07:05:33Z","cross_cats_sorted":[],"title_canon_sha256":"14c213badef4555c21798a3365fdc2be1c91c97d451b92d8de103ea79c349a44","abstract_canon_sha256":"77cf7f50b5c0f16fb54170fb38b57d2005796250a455d7b5be0e37248a2366d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:01.977779Z","signature_b64":"aIAqs1J8WHPcmBhtH4t5eWS4mkRLtoeKWYoBo45NUxvCOJvzXgg06P3EuyuDCAmTsW5eVQYaqQOnfxP94sACDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"775d217a0eaa143186e2305a18bf5dce3e59cb91285817abb33f529006a7d528","last_reissued_at":"2026-05-18T02:44:01.977345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:01.977345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop Virasoro Lie Conformal Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Henan Wu, Qiufan Chen, Xiaoqing Yue","submitted_at":"2013-11-01T07:05:33Z","abstract_excerpt":"The Lie conformal algebra of loop Virasoro algebra, denoted by $\\mathscr{CW}$, is introduced in this paper. Explicitly, $\\mathscr{CW}$ is a Lie conformal algebra with $\\mathbb{C}[\\partial]$-basis $\\{L_i\\,|\\,i\\in\\mathbb{C}\\}$ and $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(-\\partial-2\\lambda) L_{i+j}$. Then conformal derivations of $\\mathscr{CW}$ are determined. Finally, rank one conformal modules and $\\mathbb{Z}$-graded free intermediate series modules over $\\mathscr{CW}$ are classified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0106","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":"1311.0106","created_at":"2026-05-18T02:44:01.977416+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0106v1","created_at":"2026-05-18T02:44:01.977416+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0106","created_at":"2026-05-18T02:44:01.977416+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5OSC6QOVIKD","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5OSC6QOVIKDDBXC","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5OSC6QO","created_at":"2026-05-18T12:27:54.935989+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/O5OSC6QOVIKDDBXCGBNBRP25ZY","json":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY.json","graph_json":"https://pith.science/api/pith-number/O5OSC6QOVIKDDBXCGBNBRP25ZY/graph.json","events_json":"https://pith.science/api/pith-number/O5OSC6QOVIKDDBXCGBNBRP25ZY/events.json","paper":"https://pith.science/paper/O5OSC6QO"},"agent_actions":{"view_html":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY","download_json":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY.json","view_paper":"https://pith.science/paper/O5OSC6QO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0106&json=true","fetch_graph":"https://pith.science/api/pith-number/O5OSC6QOVIKDDBXCGBNBRP25ZY/graph.json","fetch_events":"https://pith.science/api/pith-number/O5OSC6QOVIKDDBXCGBNBRP25ZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY/action/storage_attestation","attest_author":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY/action/author_attestation","sign_citation":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY/action/citation_signature","submit_replication":"https://pith.science/pith/O5OSC6QOVIKDDBXCGBNBRP25ZY/action/replication_record"}},"created_at":"2026-05-18T02:44:01.977416+00:00","updated_at":"2026-05-18T02:44:01.977416+00:00"}