{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CJL7KYRLTHQQK5KGOLIMMD3EFF","short_pith_number":"pith:CJL7KYRL","schema_version":"1.0","canonical_sha256":"1257f5622b99e105754672d0c60f642951e75a1d2c9f2316735f0bf8ea34120e","source":{"kind":"arxiv","id":"1512.04353","version":1},"attestation_state":"computed","paper":{"title":"Cocommutative elements form a maximal commutative subalgebra in quantum matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Szabolcs M\\'esz\\'aros","submitted_at":"2015-12-14T14:59:02Z","abstract_excerpt":"In this paper we prove that the subalgebras of cocommutative elements in the quantized coordinate rings of $M_{n}$, $GL_{n}$ and $SL_{n}$ are the centralizers of the trace $x_{1,1}+\\dots+x_{n,n}$ in each algebra, for $q\\in\\mathbb{C}^{\\times}$ being not a root of unity. In particular, it is not only a commutative subalgebra as it was known before, but it is a maximal one."},"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":"1512.04353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-14T14:59:02Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"807521f5162095e477a5116d3e449ce0cac6de900e294255dab932b33399f4e9","abstract_canon_sha256":"c77f1e15c6ee97f00a28553cf17effa2710d11d85e652c4fb755354d91863447"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:22.404699Z","signature_b64":"fSPbGcFSc+eKcs6ElXY188eTNK5D9Bk6Wa1cGT3GaJgxf3eN/hEvf8ft9kJ29dc9WkpmqJyCKF8ESe3fFZbzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1257f5622b99e105754672d0c60f642951e75a1d2c9f2316735f0bf8ea34120e","last_reissued_at":"2026-05-18T01:24:22.404144Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:22.404144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cocommutative elements form a maximal commutative subalgebra in quantum matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Szabolcs M\\'esz\\'aros","submitted_at":"2015-12-14T14:59:02Z","abstract_excerpt":"In this paper we prove that the subalgebras of cocommutative elements in the quantized coordinate rings of $M_{n}$, $GL_{n}$ and $SL_{n}$ are the centralizers of the trace $x_{1,1}+\\dots+x_{n,n}$ in each algebra, for $q\\in\\mathbb{C}^{\\times}$ being not a root of unity. In particular, it is not only a commutative subalgebra as it was known before, but it is a maximal one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04353","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":"1512.04353","created_at":"2026-05-18T01:24:22.404221+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.04353v1","created_at":"2026-05-18T01:24:22.404221+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04353","created_at":"2026-05-18T01:24:22.404221+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJL7KYRLTHQQ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJL7KYRLTHQQK5KG","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJL7KYRL","created_at":"2026-05-18T12:29:14.074870+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/CJL7KYRLTHQQK5KGOLIMMD3EFF","json":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF.json","graph_json":"https://pith.science/api/pith-number/CJL7KYRLTHQQK5KGOLIMMD3EFF/graph.json","events_json":"https://pith.science/api/pith-number/CJL7KYRLTHQQK5KGOLIMMD3EFF/events.json","paper":"https://pith.science/paper/CJL7KYRL"},"agent_actions":{"view_html":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF","download_json":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF.json","view_paper":"https://pith.science/paper/CJL7KYRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.04353&json=true","fetch_graph":"https://pith.science/api/pith-number/CJL7KYRLTHQQK5KGOLIMMD3EFF/graph.json","fetch_events":"https://pith.science/api/pith-number/CJL7KYRLTHQQK5KGOLIMMD3EFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF/action/storage_attestation","attest_author":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF/action/author_attestation","sign_citation":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF/action/citation_signature","submit_replication":"https://pith.science/pith/CJL7KYRLTHQQK5KGOLIMMD3EFF/action/replication_record"}},"created_at":"2026-05-18T01:24:22.404221+00:00","updated_at":"2026-05-18T01:24:22.404221+00:00"}