{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:Y4SO2KLUCWTZEDATEQOY4WROTO","short_pith_number":"pith:Y4SO2KLU","schema_version":"1.0","canonical_sha256":"c724ed297415a7920c13241d8e5a2e9b9cd55eb240690ca361d17f8d09e4e74f","source":{"kind":"arxiv","id":"math/0611175","version":3},"attestation_state":"computed","paper":{"title":"Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"An De Rijdt, Nikolas Vander Vennet","submitted_at":"2006-11-07T09:54:18Z","abstract_excerpt":"Bichon, De Rijdt and Vaes introduced the notion of monoidally equivalent compact quantum groups. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital C*-algebras or on von Neumann algebras. We apply this correspondence to study the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups."},"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":"math/0611175","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-11-07T09:54:18Z","cross_cats_sorted":[],"title_canon_sha256":"bdfac2718993dd149d4b05f4dc93f9a6976ddea2113493277e72750a5f2ba992","abstract_canon_sha256":"30df07f736c006681afc77bdb1ca4b7864c6e443ab088cd764aee574338b25b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:53.158566Z","signature_b64":"2JMCHQBnGGJRpc6Ay1389paRaXbGJ7cUTi7nUtoywZC3nwi5N+tO4r8J8/v0AD2BzgSt0J3TPJUShSh4ASUmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c724ed297415a7920c13241d8e5a2e9b9cd55eb240690ca361d17f8d09e4e74f","last_reissued_at":"2026-05-18T04:08:53.158180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:53.158180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"An De Rijdt, Nikolas Vander Vennet","submitted_at":"2006-11-07T09:54:18Z","abstract_excerpt":"Bichon, De Rijdt and Vaes introduced the notion of monoidally equivalent compact quantum groups. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital C*-algebras or on von Neumann algebras. We apply this correspondence to study the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611175","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":"math/0611175","created_at":"2026-05-18T04:08:53.158229+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0611175v3","created_at":"2026-05-18T04:08:53.158229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611175","created_at":"2026-05-18T04:08:53.158229+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y4SO2KLUCWTZ","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y4SO2KLUCWTZEDAT","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y4SO2KLU","created_at":"2026-05-18T12:25:54.717736+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/Y4SO2KLUCWTZEDATEQOY4WROTO","json":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO.json","graph_json":"https://pith.science/api/pith-number/Y4SO2KLUCWTZEDATEQOY4WROTO/graph.json","events_json":"https://pith.science/api/pith-number/Y4SO2KLUCWTZEDATEQOY4WROTO/events.json","paper":"https://pith.science/paper/Y4SO2KLU"},"agent_actions":{"view_html":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO","download_json":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO.json","view_paper":"https://pith.science/paper/Y4SO2KLU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0611175&json=true","fetch_graph":"https://pith.science/api/pith-number/Y4SO2KLUCWTZEDATEQOY4WROTO/graph.json","fetch_events":"https://pith.science/api/pith-number/Y4SO2KLUCWTZEDATEQOY4WROTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO/action/storage_attestation","attest_author":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO/action/author_attestation","sign_citation":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO/action/citation_signature","submit_replication":"https://pith.science/pith/Y4SO2KLUCWTZEDATEQOY4WROTO/action/replication_record"}},"created_at":"2026-05-18T04:08:53.158229+00:00","updated_at":"2026-05-18T04:08:53.158229+00:00"}