{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FDOIYXBRZPP3IG75JBQWCOE7D3","short_pith_number":"pith:FDOIYXBR","schema_version":"1.0","canonical_sha256":"28dc8c5c31cbdfb41bfd486161389f1ee425ff33d21e76cb67b45c67db585ecf","source":{"kind":"arxiv","id":"1611.04649","version":3},"attestation_state":"computed","paper":{"title":"Some classifiable groupoid C*-algebras with prescribed K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ian F. Putnam","submitted_at":"2016-11-15T00:08:36Z","abstract_excerpt":"Given a simple, acyclic dimension group $G_{0}$ and countable, torsion-free, abelian group $G_{1}$, we construct a minimal, amenable, \\'{e}tale equivalence relation $R$ on a Cantor set whose associated groupoid $C^{*}$-algebra, $C^{*}(R)$, is tracially AF, and hence classifiable in the Elliott classification scheme for simple, amenable, separable $C^{*}$-algebras, and with $K_{*}(C^{*}(R)) \\cong(G_{0}, G_{1})$."},"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":"1611.04649","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-11-15T00:08:36Z","cross_cats_sorted":[],"title_canon_sha256":"6165d97656bcd3f6f92693b5d8765839a7b57361914c2ace9de346c04a84c929","abstract_canon_sha256":"d0578db533ef7a4372cf981fdf689bd4fa0cbd8af3c878f14f6607a286d6c754"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:31.442709Z","signature_b64":"PwPQUmHRNkllaQJnPDZiEmFAyJsFwMa3PYgXRhe8ZJ5QQmDR+Jutn9Da76fFZGhyaZ/zBUAlJYfiFoSM9lWyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28dc8c5c31cbdfb41bfd486161389f1ee425ff33d21e76cb67b45c67db585ecf","last_reissued_at":"2026-05-18T00:34:31.442240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:31.442240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some classifiable groupoid C*-algebras with prescribed K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ian F. Putnam","submitted_at":"2016-11-15T00:08:36Z","abstract_excerpt":"Given a simple, acyclic dimension group $G_{0}$ and countable, torsion-free, abelian group $G_{1}$, we construct a minimal, amenable, \\'{e}tale equivalence relation $R$ on a Cantor set whose associated groupoid $C^{*}$-algebra, $C^{*}(R)$, is tracially AF, and hence classifiable in the Elliott classification scheme for simple, amenable, separable $C^{*}$-algebras, and with $K_{*}(C^{*}(R)) \\cong(G_{0}, G_{1})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04649","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":"1611.04649","created_at":"2026-05-18T00:34:31.442326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.04649v3","created_at":"2026-05-18T00:34:31.442326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04649","created_at":"2026-05-18T00:34:31.442326+00:00"},{"alias_kind":"pith_short_12","alias_value":"FDOIYXBRZPP3","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FDOIYXBRZPP3IG75","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FDOIYXBR","created_at":"2026-05-18T12:30:15.759754+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/FDOIYXBRZPP3IG75JBQWCOE7D3","json":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3.json","graph_json":"https://pith.science/api/pith-number/FDOIYXBRZPP3IG75JBQWCOE7D3/graph.json","events_json":"https://pith.science/api/pith-number/FDOIYXBRZPP3IG75JBQWCOE7D3/events.json","paper":"https://pith.science/paper/FDOIYXBR"},"agent_actions":{"view_html":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3","download_json":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3.json","view_paper":"https://pith.science/paper/FDOIYXBR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.04649&json=true","fetch_graph":"https://pith.science/api/pith-number/FDOIYXBRZPP3IG75JBQWCOE7D3/graph.json","fetch_events":"https://pith.science/api/pith-number/FDOIYXBRZPP3IG75JBQWCOE7D3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3/action/storage_attestation","attest_author":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3/action/author_attestation","sign_citation":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3/action/citation_signature","submit_replication":"https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3/action/replication_record"}},"created_at":"2026-05-18T00:34:31.442326+00:00","updated_at":"2026-05-18T00:34:31.442326+00:00"}