{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RLCRZM6JVAMVOSOLOGPT4H3N5V","short_pith_number":"pith:RLCRZM6J","canonical_record":{"source":{"id":"1805.05637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-05-15T08:28:51Z","cross_cats_sorted":[],"title_canon_sha256":"439c1ebefaf9e1cddee00ebae9407bdc532edd0b83b179c3b562a038d8179b06","abstract_canon_sha256":"a0e0bdd31b2836cc0db3be29bc75d03bba20414a5d498a6aac5a94597ba143e1"},"schema_version":"1.0"},"canonical_sha256":"8ac51cb3c9a8195749cb719f3e1f6ded5b91e13f21870126e36460493c7e5a70","source":{"kind":"arxiv","id":"1805.05637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05637","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05637v1","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05637","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"RLCRZM6JVAMV","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RLCRZM6JVAMVOSOL","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RLCRZM6J","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RLCRZM6JVAMVOSOLOGPT4H3N5V","target":"record","payload":{"canonical_record":{"source":{"id":"1805.05637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-05-15T08:28:51Z","cross_cats_sorted":[],"title_canon_sha256":"439c1ebefaf9e1cddee00ebae9407bdc532edd0b83b179c3b562a038d8179b06","abstract_canon_sha256":"a0e0bdd31b2836cc0db3be29bc75d03bba20414a5d498a6aac5a94597ba143e1"},"schema_version":"1.0"},"canonical_sha256":"8ac51cb3c9a8195749cb719f3e1f6ded5b91e13f21870126e36460493c7e5a70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:59.962591Z","signature_b64":"+D8zcrEfOfE4ucixGn6uCdUrl25FXf1CdoRl4T2roYC50dFoLe/17CSHkM+PNG4gV7A1tp+1i8CaMxgVwZ1dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ac51cb3c9a8195749cb719f3e1f6ded5b91e13f21870126e36460493c7e5a70","last_reissued_at":"2026-05-18T00:15:59.962121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:59.962121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.05637","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7NP1XHhheF6dgLF4LSd8NikOelJuaKP9A2rGeEAmqzGsjpilBg9R3X/Qr7L+DoPSas34GXdfvkgF3Tc/YPirBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T22:26:28.066984Z"},"content_sha256":"b92b77968b3c678c0e5f51b1f91a1e7e443ce3ff631afdd7999cebe95944ddae","schema_version":"1.0","event_id":"sha256:b92b77968b3c678c0e5f51b1f91a1e7e443ce3ff631afdd7999cebe95944ddae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RLCRZM6JVAMVOSOLOGPT4H3N5V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The factor type of conservative KMS weights on graph C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Klaus Thomsen","submitted_at":"2018-05-15T08:28:51Z","abstract_excerpt":"We determine the factor generated by the GNS-representation defined by a KMS-weight for a generalized gauge action on a simple graph C*-algebra when the corresponding measure on the path space of the graph is conservative for the shift. This is an improvment of Theorem 3.2 in arXives 1412.6762."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05637","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPnbftt6Od8dm59W+4KGyT5e3neTbPqyYbPgUQq37S+EYcksrnD6U6xfRA1oSZGUFBJJ5YfD3TscB3DG14+fCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T22:26:28.067325Z"},"content_sha256":"cc066e1629e00ba121f19977f153acfac2dcd15b973b8bdf3b091ba0e064f801","schema_version":"1.0","event_id":"sha256:cc066e1629e00ba121f19977f153acfac2dcd15b973b8bdf3b091ba0e064f801"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/bundle.json","state_url":"https://pith.science/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T22:26:28Z","links":{"resolver":"https://pith.science/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V","bundle":"https://pith.science/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/bundle.json","state":"https://pith.science/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLCRZM6JVAMVOSOLOGPT4H3N5V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RLCRZM6JVAMVOSOLOGPT4H3N5V","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":"a0e0bdd31b2836cc0db3be29bc75d03bba20414a5d498a6aac5a94597ba143e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-05-15T08:28:51Z","title_canon_sha256":"439c1ebefaf9e1cddee00ebae9407bdc532edd0b83b179c3b562a038d8179b06"},"schema_version":"1.0","source":{"id":"1805.05637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.05637","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"1805.05637v1","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05637","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"RLCRZM6JVAMV","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RLCRZM6JVAMVOSOL","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RLCRZM6J","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:cc066e1629e00ba121f19977f153acfac2dcd15b973b8bdf3b091ba0e064f801","target":"graph","created_at":"2026-05-18T00:15:59Z","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":"We determine the factor generated by the GNS-representation defined by a KMS-weight for a generalized gauge action on a simple graph C*-algebra when the corresponding measure on the path space of the graph is conservative for the shift. This is an improvment of Theorem 3.2 in arXives 1412.6762.","authors_text":"Klaus Thomsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-05-15T08:28:51Z","title":"The factor type of conservative KMS weights on graph C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05637","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:b92b77968b3c678c0e5f51b1f91a1e7e443ce3ff631afdd7999cebe95944ddae","target":"record","created_at":"2026-05-18T00:15:59Z","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":"a0e0bdd31b2836cc0db3be29bc75d03bba20414a5d498a6aac5a94597ba143e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-05-15T08:28:51Z","title_canon_sha256":"439c1ebefaf9e1cddee00ebae9407bdc532edd0b83b179c3b562a038d8179b06"},"schema_version":"1.0","source":{"id":"1805.05637","kind":"arxiv","version":1}},"canonical_sha256":"8ac51cb3c9a8195749cb719f3e1f6ded5b91e13f21870126e36460493c7e5a70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ac51cb3c9a8195749cb719f3e1f6ded5b91e13f21870126e36460493c7e5a70","first_computed_at":"2026-05-18T00:15:59.962121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:59.962121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+D8zcrEfOfE4ucixGn6uCdUrl25FXf1CdoRl4T2roYC50dFoLe/17CSHkM+PNG4gV7A1tp+1i8CaMxgVwZ1dBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:59.962591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.05637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b92b77968b3c678c0e5f51b1f91a1e7e443ce3ff631afdd7999cebe95944ddae","sha256:cc066e1629e00ba121f19977f153acfac2dcd15b973b8bdf3b091ba0e064f801"],"state_sha256":"5c178e546533071d9bb153797e0f14688719653b5744920b06404db0fb90d0bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YPKYbHeDCyd2vubxWS7i3ayI0Wga3LWJMPpRcEaG5I8GhvSCBs/yvag6FPpQPL8wOfY0zAPGoqBm1/GXi1PABw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T22:26:28.069144Z","bundle_sha256":"99f35dcd15c3838ff848f062d9dc37f51e075a0dcb21fb58851339097cefc7ae"}}