{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:YLEW6UYHDJT42EC2DGL67LVF7D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"02a7b421933a1da6dc4192fbd5a72835767b648d27e1e1d4c7722cfa98700483","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-01-12T01:42:19Z","title_canon_sha256":"9305a4924fcd80968b749523fc0040494fb76f907fc6a4affb613f31644cea48"},"schema_version":"1.0","source":{"id":"q-alg/9601008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9601008","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9601008v2","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9601008","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"YLEW6UYHDJT4","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"YLEW6UYHDJT42EC2","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"YLEW6UYH","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:f60b1a9cc1619daf28b9a4c0a6750e5cb8d59985e562df92c776dcbdd0f7c241","target":"graph","created_at":"2026-05-18T01:05:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Central bialgebras in a braided category $\\C$ are algebras in the center of the category of coalgebras in $\\C$. On these bialgebras another product can be defined, which plays the role of the opposite product. Hence, coquasitriangular structures on central bialgebras can be defined. We prove some properties of the antipode on coquasitriangular central Hopf algebras and give a characterization of central bialgebras.","authors_text":"Phung Ho Hai","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1996-01-12T01:42:19Z","title":"Central bialgebras in Braided Categories and Coquasitriangular Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9601008","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ed4d37d24912c8eeae750f2b1ca02b4a22674cfeff8e6b1fbbb79d23ebe8d792","target":"record","created_at":"2026-05-18T01:05:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"02a7b421933a1da6dc4192fbd5a72835767b648d27e1e1d4c7722cfa98700483","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-01-12T01:42:19Z","title_canon_sha256":"9305a4924fcd80968b749523fc0040494fb76f907fc6a4affb613f31644cea48"},"schema_version":"1.0","source":{"id":"q-alg/9601008","kind":"arxiv","version":2}},"canonical_sha256":"c2c96f53071a67cd105a1997efaea5f8e16f3a708639ff123b55b6b1474edb18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2c96f53071a67cd105a1997efaea5f8e16f3a708639ff123b55b6b1474edb18","first_computed_at":"2026-05-18T01:05:07.582399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:07.582399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SSppqOJZtxGdKvHyVoodMaSmqwzuUvConFzstUggm3vQZL1/FavzXTJdeXzkljL/NTGne1RXvSKHSKUllHXmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:07.583218Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9601008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed4d37d24912c8eeae750f2b1ca02b4a22674cfeff8e6b1fbbb79d23ebe8d792","sha256:f60b1a9cc1619daf28b9a4c0a6750e5cb8d59985e562df92c776dcbdd0f7c241"],"state_sha256":"b5b7babf54929c48732bdfc80f79ffc37dc584a8a4119cb3ba89479e9371c204"}