{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MZS63BVW4BTJTR3J6R7CGNZJ3K","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":"9726d602705759cfda6c88d12968d0b0bea41f79153fcf395e7fe05bd6a2530c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-24T06:29:42Z","title_canon_sha256":"2bbf9a567bc9680fe85c0148ae76d2eabba9b7d2076cf5c1f5e3c523939234c4"},"schema_version":"1.0","source":{"id":"1007.4248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4248","created_at":"2026-07-04T17:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4248v1","created_at":"2026-07-04T17:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4248","created_at":"2026-07-04T17:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"MZS63BVW4BTJ","created_at":"2026-07-04T17:32:12Z"},{"alias_kind":"pith_short_16","alias_value":"MZS63BVW4BTJTR3J","created_at":"2026-07-04T17:32:12Z"},{"alias_kind":"pith_short_8","alias_value":"MZS63BVW","created_at":"2026-07-04T17:32:12Z"}],"graph_snapshots":[{"event_id":"sha256:34ae8446317ace99ee85ead0b9f05760fdbad2bc86a85f04acd2b08cb6b103c0","target":"graph","created_at":"2026-07-04T17:32:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1007.4248/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study KMS states on finite-graph C*-algebras with sinks and sources. We compare finite-graph C*-algebras with C*-algebras associated with complex dynamical systems of rational functions. We show that if the inverse temperature $\\beta$ is large, then the set of extreme $\\beta$-KMS states is parametrized by the set of sinks of the graph. This means that the sinks of a graph correspond to the branched points of a rational funcition from the point of KMS states. Since we consider graphs with sinks and sources, left actions of the associated bimodules are not injective. Then the associated graph","authors_text":"Tsuyoshi Kajiwara, Yasuo Watatani","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-24T06:29:42Z","title":"KMS states on finite-graph C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4248","kind":"arxiv","version":1},"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":"sha256:0a9e881e0f8d95f77d8d329f3950fbb39c4fb20f8f77cd21d7caead4acd56a51","target":"record","created_at":"2026-07-04T17:32:12Z","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":"9726d602705759cfda6c88d12968d0b0bea41f79153fcf395e7fe05bd6a2530c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-07-24T06:29:42Z","title_canon_sha256":"2bbf9a567bc9680fe85c0148ae76d2eabba9b7d2076cf5c1f5e3c523939234c4"},"schema_version":"1.0","source":{"id":"1007.4248","kind":"arxiv","version":1}},"canonical_sha256":"6665ed86b6e06699c769f47e233729daa95a7c8548d3f94a5cafd06b9b2462f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6665ed86b6e06699c769f47e233729daa95a7c8548d3f94a5cafd06b9b2462f2","first_computed_at":"2026-07-04T17:32:12.764977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:32:12.764977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yw52r5uiG6s9HEKqFPU0YBGqIMOst3FbGg8yDuropCF28mINVvaOxbw1ZeVdBawsptyq5WJ8hvtPh7UkwlPXDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:32:12.765418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a9e881e0f8d95f77d8d329f3950fbb39c4fb20f8f77cd21d7caead4acd56a51","sha256:34ae8446317ace99ee85ead0b9f05760fdbad2bc86a85f04acd2b08cb6b103c0"],"state_sha256":"dcf1ce78e0f24fb484f4f87066927ecf1800ee78105e75c047989cbdac3cedcf"}