{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:4MK45FSEJBL5VT723FJNV6CRGE","short_pith_number":"pith:4MK45FSE","schema_version":"1.0","canonical_sha256":"e315ce96444857dacffad952daf851310a2c450557c40c4ba5f55d2974cccc8b","source":{"kind":"arxiv","id":"math/0210264","version":4},"attestation_state":"computed","paper":{"title":"Simple Finite Jordan Pseudoalgebras","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pavel Kolesnikov","submitted_at":"2002-10-17T10:31:34Z","abstract_excerpt":"We consider the structure of Jordan $H$-pseudoalgebras which are linearly finitely generated over a Hopf algebra $H$. There are two cases under consideration: $H=U(\\mathfrak h)$ and $H=U(\\mathfrak h)# \\mathbb C[\\Gamma ]$, where $\\mathfrak h$ is a finite-dimensional Lie algebra over $\\mathbb C$, $\\Gamma $ is an arbitrary group acting on $U(\\mathfrak h)$ by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones."},"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/0210264","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2002-10-17T10:31:34Z","cross_cats_sorted":[],"title_canon_sha256":"e9ef20c8968073d0752eb4f1ddfe77b8a7568e9392f448d594c0906e14149d4a","abstract_canon_sha256":"5d986c0d8b88e3360b3650f30b2689d01754526469efc71e5245eef79a55c8b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:37:02.329556Z","signature_b64":"plm5DKf7XhEEBiJsWgHz/AUjmVfQFtOz6/m1c9sJc/dhX29jDpdYMgd1EuwlxmWfoftQfdGpUq8mim858nXDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e315ce96444857dacffad952daf851310a2c450557c40c4ba5f55d2974cccc8b","last_reissued_at":"2026-07-04T15:37:02.329112Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:37:02.329112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple Finite Jordan Pseudoalgebras","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pavel Kolesnikov","submitted_at":"2002-10-17T10:31:34Z","abstract_excerpt":"We consider the structure of Jordan $H$-pseudoalgebras which are linearly finitely generated over a Hopf algebra $H$. There are two cases under consideration: $H=U(\\mathfrak h)$ and $H=U(\\mathfrak h)# \\mathbb C[\\Gamma ]$, where $\\mathfrak h$ is a finite-dimensional Lie algebra over $\\mathbb C$, $\\Gamma $ is an arbitrary group acting on $U(\\mathfrak h)$ by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0210264","kind":"arxiv","version":4},"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/0210264/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/0210264","created_at":"2026-07-04T15:37:02.329171+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0210264v4","created_at":"2026-07-04T15:37:02.329171+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0210264","created_at":"2026-07-04T15:37:02.329171+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MK45FSEJBL5","created_at":"2026-07-04T15:37:02.329171+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MK45FSEJBL5VT72","created_at":"2026-07-04T15:37:02.329171+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MK45FSE","created_at":"2026-07-04T15:37:02.329171+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/4MK45FSEJBL5VT723FJNV6CRGE","json":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE.json","graph_json":"https://pith.science/api/pith-number/4MK45FSEJBL5VT723FJNV6CRGE/graph.json","events_json":"https://pith.science/api/pith-number/4MK45FSEJBL5VT723FJNV6CRGE/events.json","paper":"https://pith.science/paper/4MK45FSE"},"agent_actions":{"view_html":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE","download_json":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE.json","view_paper":"https://pith.science/paper/4MK45FSE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0210264&json=true","fetch_graph":"https://pith.science/api/pith-number/4MK45FSEJBL5VT723FJNV6CRGE/graph.json","fetch_events":"https://pith.science/api/pith-number/4MK45FSEJBL5VT723FJNV6CRGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE/action/storage_attestation","attest_author":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE/action/author_attestation","sign_citation":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE/action/citation_signature","submit_replication":"https://pith.science/pith/4MK45FSEJBL5VT723FJNV6CRGE/action/replication_record"}},"created_at":"2026-07-04T15:37:02.329171+00:00","updated_at":"2026-07-04T15:37:02.329171+00:00"}