{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:MBOUGLFLTGLK3P3XMPP3NGECBQ","short_pith_number":"pith:MBOUGLFL","schema_version":"1.0","canonical_sha256":"605d432cab9996adbf7763dfb698820c3ed2b0fee252a1d5a436372ecc471250","source":{"kind":"arxiv","id":"math-ph/0411058","version":2},"attestation_state":"computed","paper":{"title":"The Role of Type III Factors in Quantum Field Theory","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jakob Yngvason","submitted_at":"2004-11-17T20:19:46Z","abstract_excerpt":"One of von Neumann's motivations for developing the theory of operator algebras and his and Murray's 1936 classification of factors was the question of possible decompositions of quantum systems into independent parts. For quantum systems with a finite number of degrees of freedom the simplest possibility, i.e., factors of type I in the terminology of Murray and von Neumann, are perfectly adequate. In relativistic quantum field theory (RQFT), on the other hand, factors of type III occur naturally. The same holds true in quantum statistical mechanics of infinite systems. In this brief review so"},"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":"math-ph/0411058","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-11-17T20:19:46Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"509aca570e5399963d793bcab055dea7b5b0daaa4d11ceee3422db3e99cd3851","abstract_canon_sha256":"fa0e22a4bdec059aa722990e60a10e25cb0770c9f86a7ecaa9e90e44494cf04f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:49:12.875091Z","signature_b64":"6tBSYJRUyEMdy5d6nicsB/I9N76Cs8eU34uucF3rgRDjVnhXHJwfsAlmdQfWVTjgJzfYTzgzHZFNV7WFRRIGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"605d432cab9996adbf7763dfb698820c3ed2b0fee252a1d5a436372ecc471250","last_reissued_at":"2026-07-04T16:49:12.874746Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:49:12.874746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Role of Type III Factors in Quantum Field Theory","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jakob Yngvason","submitted_at":"2004-11-17T20:19:46Z","abstract_excerpt":"One of von Neumann's motivations for developing the theory of operator algebras and his and Murray's 1936 classification of factors was the question of possible decompositions of quantum systems into independent parts. For quantum systems with a finite number of degrees of freedom the simplest possibility, i.e., factors of type I in the terminology of Murray and von Neumann, are perfectly adequate. In relativistic quantum field theory (RQFT), on the other hand, factors of type III occur naturally. The same holds true in quantum statistical mechanics of infinite systems. In this brief review so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0411058","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math-ph/0411058/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math-ph/0411058","created_at":"2026-07-04T16:49:12.874808+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0411058v2","created_at":"2026-07-04T16:49:12.874808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0411058","created_at":"2026-07-04T16:49:12.874808+00:00"},{"alias_kind":"pith_short_12","alias_value":"MBOUGLFLTGLK","created_at":"2026-07-04T16:49:12.874808+00:00"},{"alias_kind":"pith_short_16","alias_value":"MBOUGLFLTGLK3P3X","created_at":"2026-07-04T16:49:12.874808+00:00"},{"alias_kind":"pith_short_8","alias_value":"MBOUGLFL","created_at":"2026-07-04T16:49:12.874808+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.13576","citing_title":"Semiclassical algebraic reconstruction for type III algebras","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2604.11830","citing_title":"A skepticism on the concept of quantum state related to quantum field theory on curved spacetime","ref_index":49,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ","json":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ.json","graph_json":"https://pith.science/api/pith-number/MBOUGLFLTGLK3P3XMPP3NGECBQ/graph.json","events_json":"https://pith.science/api/pith-number/MBOUGLFLTGLK3P3XMPP3NGECBQ/events.json","paper":"https://pith.science/paper/MBOUGLFL"},"agent_actions":{"view_html":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ","download_json":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ.json","view_paper":"https://pith.science/paper/MBOUGLFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0411058&json=true","fetch_graph":"https://pith.science/api/pith-number/MBOUGLFLTGLK3P3XMPP3NGECBQ/graph.json","fetch_events":"https://pith.science/api/pith-number/MBOUGLFLTGLK3P3XMPP3NGECBQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ/action/storage_attestation","attest_author":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ/action/author_attestation","sign_citation":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ/action/citation_signature","submit_replication":"https://pith.science/pith/MBOUGLFLTGLK3P3XMPP3NGECBQ/action/replication_record"}},"created_at":"2026-07-04T16:49:12.874808+00:00","updated_at":"2026-07-04T16:49:12.874808+00:00"}