{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:GLCS5KOSGR5CQQPMWOSQIPIAMY","short_pith_number":"pith:GLCS5KOS","schema_version":"1.0","canonical_sha256":"32c52ea9d2347a2841ecb3a5043d00662306c9526a9796077e9e05decebf96ac","source":{"kind":"arxiv","id":"math/0202210","version":2},"attestation_state":"computed","paper":{"title":"Classification of 6-dimensional real Drinfeld doubles","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"L. Hlavaty, L. Snobl","submitted_at":"2002-02-21T12:58:07Z","abstract_excerpt":"Starting from the classification of real Manin triples done in a previous paper we look for those that are isomorphic as 6-dimensional Lie algebras with the ad-invariant form used for construction of the Manin triples. We use several invariants of the Lie algebras to distinguish the non-isomorphic structures and give explicit form of maps between Manin triples that are decompositions of isomorphic Drinfeld doubles. The result is a complete list of 6-dimensional real Drinfeld doubles. It consists of 22 classes of non-isomorphic Drinfeld doubles."},"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":"math/0202210","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2002-02-21T12:58:07Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"7821e963b4d3f74b3b1a68e3cc2f1b664cb31fc1a77bbfbdf910cdc42783eb4a","abstract_canon_sha256":"96150080c40dabe57f512b3a5caaf5eb975535a02b1b47d8e775f43b805582c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:47:48.658375Z","signature_b64":"3hZN1kEzEPS99jo5kTqnTi3Uz/g/ofeiLTNWtrB5DubGCyedTGFlsaY8mWeCz54rmZKHUr2p67WwUh5O5m6gAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32c52ea9d2347a2841ecb3a5043d00662306c9526a9796077e9e05decebf96ac","last_reissued_at":"2026-07-04T14:47:48.658000Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:47:48.658000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of 6-dimensional real Drinfeld doubles","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"L. Hlavaty, L. Snobl","submitted_at":"2002-02-21T12:58:07Z","abstract_excerpt":"Starting from the classification of real Manin triples done in a previous paper we look for those that are isomorphic as 6-dimensional Lie algebras with the ad-invariant form used for construction of the Manin triples. We use several invariants of the Lie algebras to distinguish the non-isomorphic structures and give explicit form of maps between Manin triples that are decompositions of isomorphic Drinfeld doubles. The result is a complete list of 6-dimensional real Drinfeld doubles. It consists of 22 classes of non-isomorphic Drinfeld doubles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0202210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0202210/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0202210","created_at":"2026-07-04T14:47:48.658058+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0202210v2","created_at":"2026-07-04T14:47:48.658058+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0202210","created_at":"2026-07-04T14:47:48.658058+00:00"},{"alias_kind":"pith_short_12","alias_value":"GLCS5KOSGR5C","created_at":"2026-07-04T14:47:48.658058+00:00"},{"alias_kind":"pith_short_16","alias_value":"GLCS5KOSGR5CQQPM","created_at":"2026-07-04T14:47:48.658058+00:00"},{"alias_kind":"pith_short_8","alias_value":"GLCS5KOS","created_at":"2026-07-04T14:47:48.658058+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.09349","citing_title":"Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY","json":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY.json","graph_json":"https://pith.science/api/pith-number/GLCS5KOSGR5CQQPMWOSQIPIAMY/graph.json","events_json":"https://pith.science/api/pith-number/GLCS5KOSGR5CQQPMWOSQIPIAMY/events.json","paper":"https://pith.science/paper/GLCS5KOS"},"agent_actions":{"view_html":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY","download_json":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY.json","view_paper":"https://pith.science/paper/GLCS5KOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0202210&json=true","fetch_graph":"https://pith.science/api/pith-number/GLCS5KOSGR5CQQPMWOSQIPIAMY/graph.json","fetch_events":"https://pith.science/api/pith-number/GLCS5KOSGR5CQQPMWOSQIPIAMY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY/action/storage_attestation","attest_author":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY/action/author_attestation","sign_citation":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY/action/citation_signature","submit_replication":"https://pith.science/pith/GLCS5KOSGR5CQQPMWOSQIPIAMY/action/replication_record"}},"created_at":"2026-07-04T14:47:48.658058+00:00","updated_at":"2026-07-04T14:47:48.658058+00:00"}