{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4MGUOC5JIGE7VH2INRUYFOTY2H","short_pith_number":"pith:4MGUOC5J","schema_version":"1.0","canonical_sha256":"e30d470ba94189fa9f486c6982ba78d1f3012190564a94e144c1b80d011d238e","source":{"kind":"arxiv","id":"1101.2865","version":2},"attestation_state":"computed","paper":{"title":"Thermal States in Conformal QFT. I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Mih\\'aly Weiner, Paolo Camassa, Roberto Longo, Yoh Tanimoto","submitted_at":"2011-01-14T17:15:28Z","abstract_excerpt":"We analyze the set of locally normal KMS states w.r.t. the translation group for a local conformal net A of von Neumann algebras on R. In this first part, we focus on completely rational net A. Our main result here states that, if A is completely rational, there exists exactly one locally normal KMS state \\phi. Moreover, \\phi is canonically constructed by a geometric procedure. A crucial r\\^ole is played by the analysis of the \"thermal completion net\" associated with a locally normal KMS state. A similar uniqueness result holds for KMS states of two-dimensional local conformal nets w.r.t. the "},"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":"1101.2865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-01-14T17:15:28Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"1c528948d230001e3d01e55d2857b057c83e1c1e7f84f8b3cc970251b4e04b13","abstract_canon_sha256":"ec99d5e9ad2ca2a95dbaf345038081cd7187a054127a30041a3cd46ea3f22b67"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:13.263912Z","signature_b64":"oOdSMZ5c/HQfo7Hq9a4Er3NNwKFlrEXStKjkigLWYd6tozT7yYfthwfU94KnGZ6xyy1LJ5l89kJXkxj7eIXcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e30d470ba94189fa9f486c6982ba78d1f3012190564a94e144c1b80d011d238e","last_reissued_at":"2026-05-18T04:01:13.263372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:13.263372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal States in Conformal QFT. I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Mih\\'aly Weiner, Paolo Camassa, Roberto Longo, Yoh Tanimoto","submitted_at":"2011-01-14T17:15:28Z","abstract_excerpt":"We analyze the set of locally normal KMS states w.r.t. the translation group for a local conformal net A of von Neumann algebras on R. In this first part, we focus on completely rational net A. Our main result here states that, if A is completely rational, there exists exactly one locally normal KMS state \\phi. Moreover, \\phi is canonically constructed by a geometric procedure. A crucial r\\^ole is played by the analysis of the \"thermal completion net\" associated with a locally normal KMS state. A similar uniqueness result holds for KMS states of two-dimensional local conformal nets w.r.t. the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2865","kind":"arxiv","version":2},"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":"1101.2865","created_at":"2026-05-18T04:01:13.263476+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.2865v2","created_at":"2026-05-18T04:01:13.263476+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2865","created_at":"2026-05-18T04:01:13.263476+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MGUOC5JIGE7","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MGUOC5JIGE7VH2I","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MGUOC5J","created_at":"2026-05-18T12:26:20.644004+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/4MGUOC5JIGE7VH2INRUYFOTY2H","json":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H.json","graph_json":"https://pith.science/api/pith-number/4MGUOC5JIGE7VH2INRUYFOTY2H/graph.json","events_json":"https://pith.science/api/pith-number/4MGUOC5JIGE7VH2INRUYFOTY2H/events.json","paper":"https://pith.science/paper/4MGUOC5J"},"agent_actions":{"view_html":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H","download_json":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H.json","view_paper":"https://pith.science/paper/4MGUOC5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.2865&json=true","fetch_graph":"https://pith.science/api/pith-number/4MGUOC5JIGE7VH2INRUYFOTY2H/graph.json","fetch_events":"https://pith.science/api/pith-number/4MGUOC5JIGE7VH2INRUYFOTY2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H/action/storage_attestation","attest_author":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H/action/author_attestation","sign_citation":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H/action/citation_signature","submit_replication":"https://pith.science/pith/4MGUOC5JIGE7VH2INRUYFOTY2H/action/replication_record"}},"created_at":"2026-05-18T04:01:13.263476+00:00","updated_at":"2026-05-18T04:01:13.263476+00:00"}