{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RZKZY5NYLWULMIA6OCMMLH3QE4","short_pith_number":"pith:RZKZY5NY","schema_version":"1.0","canonical_sha256":"8e559c75b85da8b6201e7098c59f7027161451ec65f37f0cda4a9095ab81f4ed","source":{"kind":"arxiv","id":"1512.09271","version":2},"attestation_state":"computed","paper":{"title":"Liftings of Jordan and super Jordan planes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Istv\\'an Heckenberger, Iv\\'an Angiono, Nicol\\'as Andruskiewitsch","submitted_at":"2015-12-31T12:36:21Z","abstract_excerpt":"We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension whose infinitesimal braiding has dimension 2 but is not of diagonal type, or equivalently is a block. These Hopf algebras are new and turn out to be liftings of either a Jordan or a super Jordan plane over a nilpotent-by-finite group."},"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":"1512.09271","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-12-31T12:36:21Z","cross_cats_sorted":[],"title_canon_sha256":"18347fbb3030bd978bb643605bb1de5aa17aa399cab9e7a7d44c93a20170b732","abstract_canon_sha256":"4eb4ec6e9c330155787f1c44870305609f045b9a0d2d310f5afe556ec1e2fc8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:37.877131Z","signature_b64":"wRgW66K0zV+jX6XTDtbWefaiLk6Zv2b3wopA+AA3iI3a9dObO7ZOJID3txROgPbAPCvezQtyu7lqWsl5yYO/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e559c75b85da8b6201e7098c59f7027161451ec65f37f0cda4a9095ab81f4ed","last_reissued_at":"2026-05-18T01:12:37.876800Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:37.876800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Liftings of Jordan and super Jordan planes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Istv\\'an Heckenberger, Iv\\'an Angiono, Nicol\\'as Andruskiewitsch","submitted_at":"2015-12-31T12:36:21Z","abstract_excerpt":"We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension whose infinitesimal braiding has dimension 2 but is not of diagonal type, or equivalently is a block. These Hopf algebras are new and turn out to be liftings of either a Jordan or a super Jordan plane over a nilpotent-by-finite group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09271","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":"1512.09271","created_at":"2026-05-18T01:12:37.876854+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.09271v2","created_at":"2026-05-18T01:12:37.876854+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09271","created_at":"2026-05-18T01:12:37.876854+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZKZY5NYLWUL","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZKZY5NYLWULMIA6","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZKZY5NY","created_at":"2026-05-18T12:29:39.896362+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/RZKZY5NYLWULMIA6OCMMLH3QE4","json":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4.json","graph_json":"https://pith.science/api/pith-number/RZKZY5NYLWULMIA6OCMMLH3QE4/graph.json","events_json":"https://pith.science/api/pith-number/RZKZY5NYLWULMIA6OCMMLH3QE4/events.json","paper":"https://pith.science/paper/RZKZY5NY"},"agent_actions":{"view_html":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4","download_json":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4.json","view_paper":"https://pith.science/paper/RZKZY5NY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.09271&json=true","fetch_graph":"https://pith.science/api/pith-number/RZKZY5NYLWULMIA6OCMMLH3QE4/graph.json","fetch_events":"https://pith.science/api/pith-number/RZKZY5NYLWULMIA6OCMMLH3QE4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4/action/storage_attestation","attest_author":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4/action/author_attestation","sign_citation":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4/action/citation_signature","submit_replication":"https://pith.science/pith/RZKZY5NYLWULMIA6OCMMLH3QE4/action/replication_record"}},"created_at":"2026-05-18T01:12:37.876854+00:00","updated_at":"2026-05-18T01:12:37.876854+00:00"}