{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XE3SLTODIHKD47DOTT2XJE7NM7","short_pith_number":"pith:XE3SLTOD","schema_version":"1.0","canonical_sha256":"b93725cdc341d43e7c6e9cf57493ed67d2a1257f904d66f93e703edab7aab8f8","source":{"kind":"arxiv","id":"1409.6282","version":5},"attestation_state":"computed","paper":{"title":"Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Chenhong Zhou, Guangzhe Fan, Xiaoqing Yue","submitted_at":"2014-09-22T19:07:55Z","abstract_excerpt":"In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined."},"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":"1409.6282","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-22T19:07:55Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"debe2f15374fcbee0cb947be263300b006942cd4e953ef32ccd3e060a5265613","abstract_canon_sha256":"c4cebbc6be2f50d2f69e8bdc736db620f9ed2b55ecec5b7b4ea90f4ed0be57f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:00.392122Z","signature_b64":"xCd6qb9zyrkIo9Du9JiJKbSFzG4WeCqGzcfWbxIJGRffyN41djB0pR/9VAZv0xwGxIjcOQglZPScjOQ7Ji+PBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b93725cdc341d43e7c6e9cf57493ed67d2a1257f904d66f93e703edab7aab8f8","last_reissued_at":"2026-05-18T01:11:00.391510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:00.391510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Chenhong Zhou, Guangzhe Fan, Xiaoqing Yue","submitted_at":"2014-09-22T19:07:55Z","abstract_excerpt":"In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6282","kind":"arxiv","version":5},"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":"1409.6282","created_at":"2026-05-18T01:11:00.391616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6282v5","created_at":"2026-05-18T01:11:00.391616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6282","created_at":"2026-05-18T01:11:00.391616+00:00"},{"alias_kind":"pith_short_12","alias_value":"XE3SLTODIHKD","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XE3SLTODIHKD47DO","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XE3SLTOD","created_at":"2026-05-18T12:28:57.508820+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/XE3SLTODIHKD47DOTT2XJE7NM7","json":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7.json","graph_json":"https://pith.science/api/pith-number/XE3SLTODIHKD47DOTT2XJE7NM7/graph.json","events_json":"https://pith.science/api/pith-number/XE3SLTODIHKD47DOTT2XJE7NM7/events.json","paper":"https://pith.science/paper/XE3SLTOD"},"agent_actions":{"view_html":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7","download_json":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7.json","view_paper":"https://pith.science/paper/XE3SLTOD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6282&json=true","fetch_graph":"https://pith.science/api/pith-number/XE3SLTODIHKD47DOTT2XJE7NM7/graph.json","fetch_events":"https://pith.science/api/pith-number/XE3SLTODIHKD47DOTT2XJE7NM7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7/action/storage_attestation","attest_author":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7/action/author_attestation","sign_citation":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7/action/citation_signature","submit_replication":"https://pith.science/pith/XE3SLTODIHKD47DOTT2XJE7NM7/action/replication_record"}},"created_at":"2026-05-18T01:11:00.391616+00:00","updated_at":"2026-05-18T01:11:00.391616+00:00"}