{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UGH7KOJ5BFBSYPRHAHK3YN56IF","short_pith_number":"pith:UGH7KOJ5","schema_version":"1.0","canonical_sha256":"a18ff5393d09432c3e2701d5bc37be4174eade02d72614f40f633ad927ab3e03","source":{"kind":"arxiv","id":"1604.03756","version":3},"attestation_state":"computed","paper":{"title":"Quantum groups from stationary matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Teodor Banica","submitted_at":"2016-04-13T13:16:25Z","abstract_excerpt":"We study the quantum groups appearing via models $C(G)\\subset M_K(C(X))$ which are \"stationary\", in the sense that the Haar integration over $G$ is the functional $tr\\otimes\\int_X$. Our results include a number of generalities, notably with a substantial list of examples, and a detailed discussion in the quantum permutation group case."},"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":"1604.03756","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-13T13:16:25Z","cross_cats_sorted":[],"title_canon_sha256":"5da257d1c4df0021afa5ab65eae7368e3fb25dd6a1a3deb5a604dd2196c2708d","abstract_canon_sha256":"945782bb335c80a71e4bbe95df65d7db91802871ea6c06a0f9aaf25d3ba342cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:46.653538Z","signature_b64":"GrAwKu6/CC4CmcOFe3ojHpl3+JnqZuC0r7u65E762pLxpLk7la45qecxFoR2ZU7FiWHCq+CYpZlPlt2x4DBwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a18ff5393d09432c3e2701d5bc37be4174eade02d72614f40f633ad927ab3e03","last_reissued_at":"2026-05-18T00:42:46.653000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:46.653000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum groups from stationary matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Teodor Banica","submitted_at":"2016-04-13T13:16:25Z","abstract_excerpt":"We study the quantum groups appearing via models $C(G)\\subset M_K(C(X))$ which are \"stationary\", in the sense that the Haar integration over $G$ is the functional $tr\\otimes\\int_X$. Our results include a number of generalities, notably with a substantial list of examples, and a detailed discussion in the quantum permutation group case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03756","kind":"arxiv","version":3},"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":"1604.03756","created_at":"2026-05-18T00:42:46.653080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.03756v3","created_at":"2026-05-18T00:42:46.653080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03756","created_at":"2026-05-18T00:42:46.653080+00:00"},{"alias_kind":"pith_short_12","alias_value":"UGH7KOJ5BFBS","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UGH7KOJ5BFBSYPRH","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UGH7KOJ5","created_at":"2026-05-18T12:30:46.583412+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/UGH7KOJ5BFBSYPRHAHK3YN56IF","json":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF.json","graph_json":"https://pith.science/api/pith-number/UGH7KOJ5BFBSYPRHAHK3YN56IF/graph.json","events_json":"https://pith.science/api/pith-number/UGH7KOJ5BFBSYPRHAHK3YN56IF/events.json","paper":"https://pith.science/paper/UGH7KOJ5"},"agent_actions":{"view_html":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF","download_json":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF.json","view_paper":"https://pith.science/paper/UGH7KOJ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.03756&json=true","fetch_graph":"https://pith.science/api/pith-number/UGH7KOJ5BFBSYPRHAHK3YN56IF/graph.json","fetch_events":"https://pith.science/api/pith-number/UGH7KOJ5BFBSYPRHAHK3YN56IF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF/action/storage_attestation","attest_author":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF/action/author_attestation","sign_citation":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF/action/citation_signature","submit_replication":"https://pith.science/pith/UGH7KOJ5BFBSYPRHAHK3YN56IF/action/replication_record"}},"created_at":"2026-05-18T00:42:46.653080+00:00","updated_at":"2026-05-18T00:42:46.653080+00:00"}