{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DXRHV7PTRPBAPL5XSMQMRDSGQH","short_pith_number":"pith:DXRHV7PT","schema_version":"1.0","canonical_sha256":"1de27afdf38bc207afb79320c88e4681c1c95d2cac3cbee9cd2937bb76ecf5e2","source":{"kind":"arxiv","id":"1509.07070","version":2},"attestation_state":"computed","paper":{"title":"Generalized $q$-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Bogdan Udrea, Marius Junge","submitted_at":"2015-09-23T17:35:40Z","abstract_excerpt":"We show that the generalized $q$-gaussian von Neumann algebras with coefficients $\\Gamma_q(B,S \\otimes H)$ with $B$ a finite dimensional factor, dim$(D_k(S))$ sub-exponential and the dimension of $H$ finite and larger than a constant depending on $q$, have no non-trivial central sequences."},"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":"1509.07070","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-09-23T17:35:40Z","cross_cats_sorted":[],"title_canon_sha256":"47e4f1799496f9f683d10d7415e6b22278b227646960f43fea25578f55a1620a","abstract_canon_sha256":"d655fbdceb8197a44102e9ac7aabb2c4fe9436db724528e91f6ef0d998f43061"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:44.658347Z","signature_b64":"bNgdmp9V4WcI3PzX+GBotF5b7cyl57fex+TKy7EUcWZ5xw2zU0YPUuqafU82FdJcg3JV1v0UIqgHJrTYm2z4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1de27afdf38bc207afb79320c88e4681c1c95d2cac3cbee9cd2937bb76ecf5e2","last_reissued_at":"2026-05-18T01:28:44.657901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:44.657901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized $q$-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Bogdan Udrea, Marius Junge","submitted_at":"2015-09-23T17:35:40Z","abstract_excerpt":"We show that the generalized $q$-gaussian von Neumann algebras with coefficients $\\Gamma_q(B,S \\otimes H)$ with $B$ a finite dimensional factor, dim$(D_k(S))$ sub-exponential and the dimension of $H$ finite and larger than a constant depending on $q$, have no non-trivial central sequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07070","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":"1509.07070","created_at":"2026-05-18T01:28:44.657987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.07070v2","created_at":"2026-05-18T01:28:44.657987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07070","created_at":"2026-05-18T01:28:44.657987+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXRHV7PTRPBA","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXRHV7PTRPBAPL5X","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXRHV7PT","created_at":"2026-05-18T12:29:17.054201+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/DXRHV7PTRPBAPL5XSMQMRDSGQH","json":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH.json","graph_json":"https://pith.science/api/pith-number/DXRHV7PTRPBAPL5XSMQMRDSGQH/graph.json","events_json":"https://pith.science/api/pith-number/DXRHV7PTRPBAPL5XSMQMRDSGQH/events.json","paper":"https://pith.science/paper/DXRHV7PT"},"agent_actions":{"view_html":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH","download_json":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH.json","view_paper":"https://pith.science/paper/DXRHV7PT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.07070&json=true","fetch_graph":"https://pith.science/api/pith-number/DXRHV7PTRPBAPL5XSMQMRDSGQH/graph.json","fetch_events":"https://pith.science/api/pith-number/DXRHV7PTRPBAPL5XSMQMRDSGQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH/action/storage_attestation","attest_author":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH/action/author_attestation","sign_citation":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH/action/citation_signature","submit_replication":"https://pith.science/pith/DXRHV7PTRPBAPL5XSMQMRDSGQH/action/replication_record"}},"created_at":"2026-05-18T01:28:44.657987+00:00","updated_at":"2026-05-18T01:28:44.657987+00:00"}