{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LMY5RWZUDX7ZDT724WLDOWVTUQ","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":"cbca325ad511c2ccf1f170c0d4b006bcbc621463c2a4eadf8aabae07562dff24","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-07-26T09:12:25Z","title_canon_sha256":"48e345c33ccdd03854e8e68e798445f0c5346d1b15f22d2195a4ce9caf5b23ff"},"schema_version":"1.0","source":{"id":"1307.6966","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6966","created_at":"2026-05-18T01:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6966v3","created_at":"2026-05-18T01:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6966","created_at":"2026-05-18T01:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"LMY5RWZUDX7Z","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LMY5RWZUDX7ZDT72","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LMY5RWZU","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:edd6c27794f81104ec527db450553663f0631fa080951ddc573f1dfcf7df4cb8","target":"graph","created_at":"2026-05-18T01:48:34Z","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":"We propose the notion of Hopf module algebras and show that the projection onto the subspace of coinvariants is an idempotent Rota-Baxter operator of weight -1. We also provide a construction of Hopf module algebras by using Yetter-Drinfeld module algebras. As an application, we prove that the positive part of a quantum group admits idempotent Rota-Baxter algebra structures.","authors_text":"Run-Qiang Jian","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-07-26T09:12:25Z","title":"Construction of Rota-Baxter algebras via Hopf module algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6966","kind":"arxiv","version":3},"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":"sha256:036e626c27c4324391cce077467bd6ad4ec222da8c6396a93e552efd1371cc9e","target":"record","created_at":"2026-05-18T01:48:34Z","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":"cbca325ad511c2ccf1f170c0d4b006bcbc621463c2a4eadf8aabae07562dff24","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-07-26T09:12:25Z","title_canon_sha256":"48e345c33ccdd03854e8e68e798445f0c5346d1b15f22d2195a4ce9caf5b23ff"},"schema_version":"1.0","source":{"id":"1307.6966","kind":"arxiv","version":3}},"canonical_sha256":"5b31d8db341dff91cffae596375ab3a43111f8f4b8681197fbbb6e26c4ac2030","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b31d8db341dff91cffae596375ab3a43111f8f4b8681197fbbb6e26c4ac2030","first_computed_at":"2026-05-18T01:48:34.283124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:34.283124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xJ+rlKwrwNYTi97NPu7rvqbgA3H7C7z7Jbag3KcsyyCmHXTogxxpfnGEN5En04LoVnuE6joG6DXha0KWKbmKBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:34.283603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6966","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:036e626c27c4324391cce077467bd6ad4ec222da8c6396a93e552efd1371cc9e","sha256:edd6c27794f81104ec527db450553663f0631fa080951ddc573f1dfcf7df4cb8"],"state_sha256":"3dd59c22c98ed172bd9af69340734817f18f9f545eb900851652a458cba19ae5"}