{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CQXAKG3PPCFFFJHWWX7KAS5HUW","short_pith_number":"pith:CQXAKG3P","schema_version":"1.0","canonical_sha256":"142e051b6f788a52a4f6b5fea04ba7a5a45d1d7ce7303d145edbf233c035e1a8","source":{"kind":"arxiv","id":"1812.03068","version":2},"attestation_state":"computed","paper":{"title":"Generators and relations for (generalised) Cartan type superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"math.RT","authors_text":"Jakob Palmkvist, Lisa Carbone, Martin Cederwall","submitted_at":"2018-12-07T15:33:08Z","abstract_excerpt":"In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, $A(n-1,0) = \\mathfrak{sl}(1|n)$ can be constructed by adding a \"gray\" node to the Dynkin diagram of $A_{n-1} = \\mathfrak{sl}(n)$, corresponding to an odd null root. The Cartan superalgebras constitute a different class, where the simplest example is $W(n)$, the derivation algebra of the Grassmann algebra on $n$ generators. Here we present a novel construct"},"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":"1812.03068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-12-07T15:33:08Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"42b0ace1c73bc1cccb8811041fe6f4089257637a74ac3c2fca7d72c34adc198d","abstract_canon_sha256":"afbf504b71e213d2dc274e9b282a80b985f2fe8e226fdebca4d4d64d6c92d4a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:32.185769Z","signature_b64":"9ZFiYoQ+QVfXWWYpdXV20LxCx52zQs/S474CkQ91RcftFKAEH7gEQPV7qPyF98H36lNMJNXz/cM1xoD2FRGHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"142e051b6f788a52a4f6b5fea04ba7a5a45d1d7ce7303d145edbf233c035e1a8","last_reissued_at":"2026-05-17T23:45:32.185029Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:32.185029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generators and relations for (generalised) Cartan type superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"math.RT","authors_text":"Jakob Palmkvist, Lisa Carbone, Martin Cederwall","submitted_at":"2018-12-07T15:33:08Z","abstract_excerpt":"In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, $A(n-1,0) = \\mathfrak{sl}(1|n)$ can be constructed by adding a \"gray\" node to the Dynkin diagram of $A_{n-1} = \\mathfrak{sl}(n)$, corresponding to an odd null root. The Cartan superalgebras constitute a different class, where the simplest example is $W(n)$, the derivation algebra of the Grassmann algebra on $n$ generators. Here we present a novel construct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03068","kind":"arxiv","version":2},"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":"1812.03068","created_at":"2026-05-17T23:45:32.185124+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.03068v2","created_at":"2026-05-17T23:45:32.185124+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03068","created_at":"2026-05-17T23:45:32.185124+00:00"},{"alias_kind":"pith_short_12","alias_value":"CQXAKG3PPCFF","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CQXAKG3PPCFFFJHW","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CQXAKG3P","created_at":"2026-05-18T12:32:16.446611+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/CQXAKG3PPCFFFJHWWX7KAS5HUW","json":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW.json","graph_json":"https://pith.science/api/pith-number/CQXAKG3PPCFFFJHWWX7KAS5HUW/graph.json","events_json":"https://pith.science/api/pith-number/CQXAKG3PPCFFFJHWWX7KAS5HUW/events.json","paper":"https://pith.science/paper/CQXAKG3P"},"agent_actions":{"view_html":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW","download_json":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW.json","view_paper":"https://pith.science/paper/CQXAKG3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.03068&json=true","fetch_graph":"https://pith.science/api/pith-number/CQXAKG3PPCFFFJHWWX7KAS5HUW/graph.json","fetch_events":"https://pith.science/api/pith-number/CQXAKG3PPCFFFJHWWX7KAS5HUW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW/action/storage_attestation","attest_author":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW/action/author_attestation","sign_citation":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW/action/citation_signature","submit_replication":"https://pith.science/pith/CQXAKG3PPCFFFJHWWX7KAS5HUW/action/replication_record"}},"created_at":"2026-05-17T23:45:32.185124+00:00","updated_at":"2026-05-17T23:45:32.185124+00:00"}