{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZCWYMWBDGANEPLTQASBPSA2UE7","short_pith_number":"pith:ZCWYMWBD","schema_version":"1.0","canonical_sha256":"c8ad865823301a47ae700482f9035427dfdd0ac7805653329a1ba156b2205986","source":{"kind":"arxiv","id":"1705.01268","version":1},"attestation_state":"computed","paper":{"title":"Unbounded quasitraces, stable finiteness and pure infiniteness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Adam Sierakowski, Aidan Sims, David Pask","submitted_at":"2017-05-03T06:50:55Z","abstract_excerpt":"We prove that if A is a \\sigma-unital exact C*-algebra of real rank zero, then every state on K_0(A) is induced by a 2-quasitrace on A. This yields a generalisation of Rainone's work on pure infiniteness and stable finiteness of crossed products to the non-unital case. It also applies to k-graph algebras associated to row-finite k-graphs with no sources. We show that for any k-graph whose C*-algebra is unital and simple, either every twisted C*-algebra associated to that k-graph is stably finite, or every twisted C*-algebra associated to that k-graph is purely infinite. Finally we provide suff"},"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":"1705.01268","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-05-03T06:50:55Z","cross_cats_sorted":[],"title_canon_sha256":"2e5f607f803f4cf5b63470e029846e406c5e1cd1334f8fd66ebf2831f9287405","abstract_canon_sha256":"751d01a8a4789835c7940aecf4999b573a0554647205f1721c9adbc9f536bebe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:05.523094Z","signature_b64":"kWHmC3BUHCmV4xu1xpkrxDaaojJq8Miekv/Xf7Fbjdf+daIPoUeZqsZ1Qh7/UXEUv5vfjQUFCNw1TucJ00gxAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8ad865823301a47ae700482f9035427dfdd0ac7805653329a1ba156b2205986","last_reissued_at":"2026-05-18T00:45:05.522666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:05.522666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unbounded quasitraces, stable finiteness and pure infiniteness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Adam Sierakowski, Aidan Sims, David Pask","submitted_at":"2017-05-03T06:50:55Z","abstract_excerpt":"We prove that if A is a \\sigma-unital exact C*-algebra of real rank zero, then every state on K_0(A) is induced by a 2-quasitrace on A. This yields a generalisation of Rainone's work on pure infiniteness and stable finiteness of crossed products to the non-unital case. It also applies to k-graph algebras associated to row-finite k-graphs with no sources. We show that for any k-graph whose C*-algebra is unital and simple, either every twisted C*-algebra associated to that k-graph is stably finite, or every twisted C*-algebra associated to that k-graph is purely infinite. Finally we provide suff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01268","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":"1705.01268","created_at":"2026-05-18T00:45:05.522738+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01268v1","created_at":"2026-05-18T00:45:05.522738+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01268","created_at":"2026-05-18T00:45:05.522738+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZCWYMWBDGANE","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZCWYMWBDGANEPLTQ","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZCWYMWBD","created_at":"2026-05-18T12:31:59.375834+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/ZCWYMWBDGANEPLTQASBPSA2UE7","json":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7.json","graph_json":"https://pith.science/api/pith-number/ZCWYMWBDGANEPLTQASBPSA2UE7/graph.json","events_json":"https://pith.science/api/pith-number/ZCWYMWBDGANEPLTQASBPSA2UE7/events.json","paper":"https://pith.science/paper/ZCWYMWBD"},"agent_actions":{"view_html":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7","download_json":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7.json","view_paper":"https://pith.science/paper/ZCWYMWBD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01268&json=true","fetch_graph":"https://pith.science/api/pith-number/ZCWYMWBDGANEPLTQASBPSA2UE7/graph.json","fetch_events":"https://pith.science/api/pith-number/ZCWYMWBDGANEPLTQASBPSA2UE7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7/action/storage_attestation","attest_author":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7/action/author_attestation","sign_citation":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7/action/citation_signature","submit_replication":"https://pith.science/pith/ZCWYMWBDGANEPLTQASBPSA2UE7/action/replication_record"}},"created_at":"2026-05-18T00:45:05.522738+00:00","updated_at":"2026-05-18T00:45:05.522738+00:00"}