{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BXLU6EMBDOAMAMNMLJPTWTRWHM","short_pith_number":"pith:BXLU6EMB","schema_version":"1.0","canonical_sha256":"0dd74f11811b80c031ac5a5f3b4e363b03c77c3c45113dc7578082a3379cdcab","source":{"kind":"arxiv","id":"1108.0790","version":1},"attestation_state":"computed","paper":{"title":"The Cuntz Algebra Q_N and C*-Algebras of Product Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Jeong Hee Hong, Nadia S. Larsen, Wojciech Szymanski","submitted_at":"2011-08-03T09:01:25Z","abstract_excerpt":"We consider a product system over the multiplicative semigroup N^x of Hilbert bimodules which is implicit in work of S. Yamashita and of the second named author. We prove directly, using universal properties, that the associated Nica-Toeplitz algebra is an extension of the C^*-algebra Q_N introduced recently by Cuntz."},"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":"1108.0790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-08-03T09:01:25Z","cross_cats_sorted":[],"title_canon_sha256":"12bf5a60f3ef7d2011f50f207944c99697cdb1425fe0340705c53020cdf6c6aa","abstract_canon_sha256":"e745c892ebaa561d3de6232799ced4dc0fb14114022215ee46ed99b877e14d7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:21.974537Z","signature_b64":"cCgitBmaPIERMeiUt86RmsqFKnenuvjUOVFcdUn/YeZGVk9q71FXe2Il1ox9QB/afUjNT31xwadXCI4AaXd9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dd74f11811b80c031ac5a5f3b4e363b03c77c3c45113dc7578082a3379cdcab","last_reissued_at":"2026-05-18T04:16:21.973889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:21.973889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Cuntz Algebra Q_N and C*-Algebras of Product Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Jeong Hee Hong, Nadia S. Larsen, Wojciech Szymanski","submitted_at":"2011-08-03T09:01:25Z","abstract_excerpt":"We consider a product system over the multiplicative semigroup N^x of Hilbert bimodules which is implicit in work of S. Yamashita and of the second named author. We prove directly, using universal properties, that the associated Nica-Toeplitz algebra is an extension of the C^*-algebra Q_N introduced recently by Cuntz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0790","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":"1108.0790","created_at":"2026-05-18T04:16:21.973994+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.0790v1","created_at":"2026-05-18T04:16:21.973994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0790","created_at":"2026-05-18T04:16:21.973994+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXLU6EMBDOAM","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXLU6EMBDOAMAMNM","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXLU6EMB","created_at":"2026-05-18T12:26:24.575870+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/BXLU6EMBDOAMAMNMLJPTWTRWHM","json":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM.json","graph_json":"https://pith.science/api/pith-number/BXLU6EMBDOAMAMNMLJPTWTRWHM/graph.json","events_json":"https://pith.science/api/pith-number/BXLU6EMBDOAMAMNMLJPTWTRWHM/events.json","paper":"https://pith.science/paper/BXLU6EMB"},"agent_actions":{"view_html":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM","download_json":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM.json","view_paper":"https://pith.science/paper/BXLU6EMB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.0790&json=true","fetch_graph":"https://pith.science/api/pith-number/BXLU6EMBDOAMAMNMLJPTWTRWHM/graph.json","fetch_events":"https://pith.science/api/pith-number/BXLU6EMBDOAMAMNMLJPTWTRWHM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM/action/storage_attestation","attest_author":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM/action/author_attestation","sign_citation":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM/action/citation_signature","submit_replication":"https://pith.science/pith/BXLU6EMBDOAMAMNMLJPTWTRWHM/action/replication_record"}},"created_at":"2026-05-18T04:16:21.973994+00:00","updated_at":"2026-05-18T04:16:21.973994+00:00"}