{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:A2NL56B2CK4BYIGKV7IFMVOUCJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dc3435056eb308e6c601ca8e4d391e0df4faf130ee782820d42eb13fe54115f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-07-16T04:55:39Z","title_canon_sha256":"2c69a2885c636a3f34936b4a15666cdeb51faaac1b5b8f543e9999b35e46323c"},"schema_version":"1.0","source":{"id":"1507.04449","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04449","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04449v3","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04449","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"pith_short_12","alias_value":"A2NL56B2CK4B","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"A2NL56B2CK4BYIGK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"A2NL56B2","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:6b4ae1fa237c14eb1e6d280e31c054226ac6156e6860b32169b72ecc8bd8eae1","target":"graph","created_at":"2026-05-18T00:52:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The second author showed how Katsura's construction of the C*-algebra of a topological graph E may be twisted by a Hermitian line bundle L over the edge space E. The correspondence defining the algebra is obtained as the completion of the compactly supported continuous sections of L. We prove that the resulting C*-algebra is isomorphic to a twisted groupoid C*-algebra where the underlying groupoid is the Renault-Deaconu groupoid of the topological graph with Yeend's boundary path space as its unit space.","authors_text":"Alex Kumjian, Hui Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-07-16T04:55:39Z","title":"Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04449","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a31bef988067eb73f74598def6f4c9bbf11ba7e6d5f17769d3e2dca87708c1d3","target":"record","created_at":"2026-05-18T00:52:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dc3435056eb308e6c601ca8e4d391e0df4faf130ee782820d42eb13fe54115f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-07-16T04:55:39Z","title_canon_sha256":"2c69a2885c636a3f34936b4a15666cdeb51faaac1b5b8f543e9999b35e46323c"},"schema_version":"1.0","source":{"id":"1507.04449","kind":"arxiv","version":3}},"canonical_sha256":"069abef83a12b81c20caafd05655d4126345fc57641336f069a157709cf9db57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"069abef83a12b81c20caafd05655d4126345fc57641336f069a157709cf9db57","first_computed_at":"2026-05-18T00:52:17.736773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:17.736773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bAUqeXOOWNz6/JMiFJwPWbFpnCeoA6IidXK/MA2pIiE2FIbMAn8QRmZf4sylIOODL5ol4Mh2smgGL/R+dAvbCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:17.737371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04449","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a31bef988067eb73f74598def6f4c9bbf11ba7e6d5f17769d3e2dca87708c1d3","sha256:6b4ae1fa237c14eb1e6d280e31c054226ac6156e6860b32169b72ecc8bd8eae1"],"state_sha256":"cc79639f7a6c7ad2bc1352892b8135cd5d64f57dfc748a5607896ab5d21cc639"}