{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WUTSOGVZ24BWQ37OHPSV3RBCZL","short_pith_number":"pith:WUTSOGVZ","schema_version":"1.0","canonical_sha256":"b527271ab9d703686fee3be55dc422cafa9c93311c607af7ad68201b0c87b6ce","source":{"kind":"arxiv","id":"1410.3244","version":1},"attestation_state":"computed","paper":{"title":"Classification of pseudo $H$-type algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Christian Autenried, Irina Markina, Kenro Furutani","submitted_at":"2014-10-13T10:01:46Z","abstract_excerpt":"We present a partial classification of the pseudo $H$-type algebras with minimal admissible Clifford modules. Furthermore, we prove that the subspace $\\mathfrak{v}_{r,s}$ of $\\mathfrak{n}_{r,s}$ is strongly bracket generating if and only if $r=0$ or $s=0$. Additionally, we discuss the classification of pseudo $H$-type algebras related to non-equivalent irreducible Clifford modules."},"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":"1410.3244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-10-13T10:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"d14db9dc0982a5b33a79ab9f380574e0a560e27cfe221198c294ead83c16657e","abstract_canon_sha256":"570f47f7e800bc8ab383ee450ebcfd5eaf11bf086eedef6bc9c5825ca9530cd7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:11.710353Z","signature_b64":"Zq1XTxqfri1/ndKJ5QZ4klBVhROfbDS98vXf1OFJ4PXz0xVNScMyn6fI8NSXnMw2HgrLSP8ul+w81tdIqEQoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b527271ab9d703686fee3be55dc422cafa9c93311c607af7ad68201b0c87b6ce","last_reissued_at":"2026-05-18T02:40:11.709843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:11.709843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of pseudo $H$-type algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Christian Autenried, Irina Markina, Kenro Furutani","submitted_at":"2014-10-13T10:01:46Z","abstract_excerpt":"We present a partial classification of the pseudo $H$-type algebras with minimal admissible Clifford modules. Furthermore, we prove that the subspace $\\mathfrak{v}_{r,s}$ of $\\mathfrak{n}_{r,s}$ is strongly bracket generating if and only if $r=0$ or $s=0$. Additionally, we discuss the classification of pseudo $H$-type algebras related to non-equivalent irreducible Clifford modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3244","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":"1410.3244","created_at":"2026-05-18T02:40:11.709920+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.3244v1","created_at":"2026-05-18T02:40:11.709920+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3244","created_at":"2026-05-18T02:40:11.709920+00:00"},{"alias_kind":"pith_short_12","alias_value":"WUTSOGVZ24BW","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WUTSOGVZ24BWQ37O","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WUTSOGVZ","created_at":"2026-05-18T12:28:54.890064+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/WUTSOGVZ24BWQ37OHPSV3RBCZL","json":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL.json","graph_json":"https://pith.science/api/pith-number/WUTSOGVZ24BWQ37OHPSV3RBCZL/graph.json","events_json":"https://pith.science/api/pith-number/WUTSOGVZ24BWQ37OHPSV3RBCZL/events.json","paper":"https://pith.science/paper/WUTSOGVZ"},"agent_actions":{"view_html":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL","download_json":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL.json","view_paper":"https://pith.science/paper/WUTSOGVZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.3244&json=true","fetch_graph":"https://pith.science/api/pith-number/WUTSOGVZ24BWQ37OHPSV3RBCZL/graph.json","fetch_events":"https://pith.science/api/pith-number/WUTSOGVZ24BWQ37OHPSV3RBCZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL/action/storage_attestation","attest_author":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL/action/author_attestation","sign_citation":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL/action/citation_signature","submit_replication":"https://pith.science/pith/WUTSOGVZ24BWQ37OHPSV3RBCZL/action/replication_record"}},"created_at":"2026-05-18T02:40:11.709920+00:00","updated_at":"2026-05-18T02:40:11.709920+00:00"}