{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:FYLSHO5XC6BH6YJEOEQVXAIHA3","short_pith_number":"pith:FYLSHO5X","schema_version":"1.0","canonical_sha256":"2e1723bbb717827f612471215b810706d856f597ba3f0155a6c1d53fc20f41bb","source":{"kind":"arxiv","id":"0910.1638","version":1},"attestation_state":"computed","paper":{"title":"On the Notion of a Ribbon Quasi-Hopf Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.RA","authors_text":"Yorck Sommerhaeuser","submitted_at":"2009-10-09T00:51:57Z","abstract_excerpt":"We show that two competing definitions of a ribbon quasi-Hopf algebra are actually equivalent. Along the way, we look at the Drinfel'd element from a new perspective and use this viewpoint to derive its fundamental properties."},"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":"0910.1638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-10-09T00:51:57Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"5ef4d25ae32fcc0f8695263c4b75e628c56cd3397db592b631cabee8974413ad","abstract_canon_sha256":"711fcb9a55b7cf309e5fd5f1ded3d03f1c6b2eac09a86b59166bbbad866598f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:44.081338Z","signature_b64":"tr2p4bpsA5Y1rCbDhfaVPH28FM3X/x5qUGhHeHI+7h8vQ4WzTmbp3hxlsyHGjJF2hveX/UF0DE3t9qlsUWoTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e1723bbb717827f612471215b810706d856f597ba3f0155a6c1d53fc20f41bb","last_reissued_at":"2026-05-18T04:41:44.080808Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:44.080808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Notion of a Ribbon Quasi-Hopf Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.RA","authors_text":"Yorck Sommerhaeuser","submitted_at":"2009-10-09T00:51:57Z","abstract_excerpt":"We show that two competing definitions of a ribbon quasi-Hopf algebra are actually equivalent. Along the way, we look at the Drinfel'd element from a new perspective and use this viewpoint to derive its fundamental properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1638","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":"0910.1638","created_at":"2026-05-18T04:41:44.080880+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.1638v1","created_at":"2026-05-18T04:41:44.080880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1638","created_at":"2026-05-18T04:41:44.080880+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYLSHO5XC6BH","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYLSHO5XC6BH6YJE","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYLSHO5X","created_at":"2026-05-18T12:25:59.703012+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/FYLSHO5XC6BH6YJEOEQVXAIHA3","json":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3.json","graph_json":"https://pith.science/api/pith-number/FYLSHO5XC6BH6YJEOEQVXAIHA3/graph.json","events_json":"https://pith.science/api/pith-number/FYLSHO5XC6BH6YJEOEQVXAIHA3/events.json","paper":"https://pith.science/paper/FYLSHO5X"},"agent_actions":{"view_html":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3","download_json":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3.json","view_paper":"https://pith.science/paper/FYLSHO5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.1638&json=true","fetch_graph":"https://pith.science/api/pith-number/FYLSHO5XC6BH6YJEOEQVXAIHA3/graph.json","fetch_events":"https://pith.science/api/pith-number/FYLSHO5XC6BH6YJEOEQVXAIHA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3/action/storage_attestation","attest_author":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3/action/author_attestation","sign_citation":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3/action/citation_signature","submit_replication":"https://pith.science/pith/FYLSHO5XC6BH6YJEOEQVXAIHA3/action/replication_record"}},"created_at":"2026-05-18T04:41:44.080880+00:00","updated_at":"2026-05-18T04:41:44.080880+00:00"}