{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BW4YPQFRSUP5BONEGMCAMYKGFH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e9f5521b96cbb29b75ff7815c29b0719c192934078137ada57acb5c878c16d90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-05-10T17:28:30Z","title_canon_sha256":"39ae174f9db7097edffec8506f5c24a9ff1d445ae7005f72decaf302be635b79"},"schema_version":"1.0","source":{"id":"1905.04274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04274","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04274v1","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04274","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"BW4YPQFRSUP5","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BW4YPQFRSUP5BONE","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BW4YPQFR","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:5439222ed5bb7bf6d944f6ed22d56442f7d0082e144a988a4c8c64033c75be26","target":"graph","created_at":"2026-05-17T23:46:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $p$ be a nonzero complex number. Recently, a class of infinite rank Lie conformal algebras $\\mathfrak{B}(p)$ was introduced in [13]. In this paper, we study the structure theory of this class of Lie conformal algebras. Specifically, we completely determine the conformal derivations, the conformal biderivations and certain second cohomologies of $\\mathfrak{B}(p)$.","authors_text":"Chunguang Xia, Li Liu, Wei Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-05-10T17:28:30Z","title":"Structure of a class of Lie conformal algebras of Block type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04274","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2cd9e70090cf3308c5168d1bfe96bd2947ee8be776e6ccdd5d123a3e73e93bcc","target":"record","created_at":"2026-05-17T23:46:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9f5521b96cbb29b75ff7815c29b0719c192934078137ada57acb5c878c16d90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-05-10T17:28:30Z","title_canon_sha256":"39ae174f9db7097edffec8506f5c24a9ff1d445ae7005f72decaf302be635b79"},"schema_version":"1.0","source":{"id":"1905.04274","kind":"arxiv","version":1}},"canonical_sha256":"0db987c0b1951fd0b9a4330406614629e76f991aceb5e63903746e38d991db9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0db987c0b1951fd0b9a4330406614629e76f991aceb5e63903746e38d991db9b","first_computed_at":"2026-05-17T23:46:31.558247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:31.558247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0lI4o+zb/fpM4syeaVQkvsfoRNrIxYM4hZLN0RtLPqnS+EfqTE2hjJcP0S9T6R9OagGcinvLcGfKDBpVWq2bDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:31.558927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.04274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cd9e70090cf3308c5168d1bfe96bd2947ee8be776e6ccdd5d123a3e73e93bcc","sha256:5439222ed5bb7bf6d944f6ed22d56442f7d0082e144a988a4c8c64033c75be26"],"state_sha256":"3619c616c5ed0a1f1e7455c529b050168725ffa5a7ea14b75c1880f5bb3deed7"}