{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BIJGZCTB53DL5GQHIOGJFTHRTX","short_pith_number":"pith:BIJGZCTB","schema_version":"1.0","canonical_sha256":"0a126c8a61eec6be9a07438c92ccf19de41cdd07c3288f2336ac4de1e904142d","source":{"kind":"arxiv","id":"1611.04130","version":2},"attestation_state":"computed","paper":{"title":"Noncommutative Borsuk-Ulam-type conjectures revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GN","math.MP"],"primary_cat":"math.QA","authors_text":"Ludwik D\\k{a}browski, Piotr M. Hajac, Sergey Neshveyev","submitted_at":"2016-11-13T13:10:31Z","abstract_excerpt":"Let $H$ be the C*-algebra of a non-trivial compact quantum group acting freely on a unital C*-algebra $A$. It was recently conjectured that there does not exist an equivariant $*$-homomorphism from $A$ (type-I case) or $H$ (type-II case) to the equivariant noncommutative join C*-algebra $A\\circledast^\\delta H$. When $A$ is the C*-algebra of functions on a sphere, and $H$ is the C*-algebra of functions on ${\\mathbb Z}/2{\\mathbb Z}$ acting antipodally on the sphere, then the conjecture of type I becomes the celebrated Borsuk-Ulam theorem. Following recent work of Passer, we prove the conjecture "},"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":"1611.04130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-13T13:10:31Z","cross_cats_sorted":["math-ph","math.GN","math.MP"],"title_canon_sha256":"bd768b993952a77f75270c63e3311b646736fee3e147c09fe80b39c0a7a39766","abstract_canon_sha256":"9d9924f1155d48e877f87301db3f23abe0539f1f381ebc62d3b0ac0e4425b095"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:02.864818Z","signature_b64":"LUWiPIU7M31w77akGZscOACGOZpTfrlodQYzpJj7SL3BP6mUrg7xgNS9CbphoOcffGFiVJlXj40s3MzQJOviCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a126c8a61eec6be9a07438c92ccf19de41cdd07c3288f2336ac4de1e904142d","last_reissued_at":"2026-05-18T00:27:02.864358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:02.864358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative Borsuk-Ulam-type conjectures revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GN","math.MP"],"primary_cat":"math.QA","authors_text":"Ludwik D\\k{a}browski, Piotr M. Hajac, Sergey Neshveyev","submitted_at":"2016-11-13T13:10:31Z","abstract_excerpt":"Let $H$ be the C*-algebra of a non-trivial compact quantum group acting freely on a unital C*-algebra $A$. It was recently conjectured that there does not exist an equivariant $*$-homomorphism from $A$ (type-I case) or $H$ (type-II case) to the equivariant noncommutative join C*-algebra $A\\circledast^\\delta H$. When $A$ is the C*-algebra of functions on a sphere, and $H$ is the C*-algebra of functions on ${\\mathbb Z}/2{\\mathbb Z}$ acting antipodally on the sphere, then the conjecture of type I becomes the celebrated Borsuk-Ulam theorem. Following recent work of Passer, we prove the conjecture "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04130","kind":"arxiv","version":2},"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":"1611.04130","created_at":"2026-05-18T00:27:02.864423+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.04130v2","created_at":"2026-05-18T00:27:02.864423+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04130","created_at":"2026-05-18T00:27:02.864423+00:00"},{"alias_kind":"pith_short_12","alias_value":"BIJGZCTB53DL","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BIJGZCTB53DL5GQH","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BIJGZCTB","created_at":"2026-05-18T12:30:07.202191+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/BIJGZCTB53DL5GQHIOGJFTHRTX","json":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX.json","graph_json":"https://pith.science/api/pith-number/BIJGZCTB53DL5GQHIOGJFTHRTX/graph.json","events_json":"https://pith.science/api/pith-number/BIJGZCTB53DL5GQHIOGJFTHRTX/events.json","paper":"https://pith.science/paper/BIJGZCTB"},"agent_actions":{"view_html":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX","download_json":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX.json","view_paper":"https://pith.science/paper/BIJGZCTB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.04130&json=true","fetch_graph":"https://pith.science/api/pith-number/BIJGZCTB53DL5GQHIOGJFTHRTX/graph.json","fetch_events":"https://pith.science/api/pith-number/BIJGZCTB53DL5GQHIOGJFTHRTX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX/action/storage_attestation","attest_author":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX/action/author_attestation","sign_citation":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX/action/citation_signature","submit_replication":"https://pith.science/pith/BIJGZCTB53DL5GQHIOGJFTHRTX/action/replication_record"}},"created_at":"2026-05-18T00:27:02.864423+00:00","updated_at":"2026-05-18T00:27:02.864423+00:00"}