{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:K3NS6VKCYLSPU3EG444CYUCFED","short_pith_number":"pith:K3NS6VKC","schema_version":"1.0","canonical_sha256":"56db2f5542c2e4fa6c86e7382c504520cf070235ac01ec08c9e522ae263cb10f","source":{"kind":"arxiv","id":"1005.4235","version":1},"attestation_state":"computed","paper":{"title":"On the mixing property for a class of states of relativistic quantum fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Christian D. Jaekel, Heide Narnhofer, Walter F. Wreszinski","submitted_at":"2010-05-23T22:07:25Z","abstract_excerpt":"Let $\\omega$ be a factor state on the quasi-local algebra $\\cal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(\\phi)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $\\omega$ in the weak* topology, for which the time evolution is weakly asymptotically abelian."},"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":"1005.4235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-23T22:07:25Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0606c1c85b16b382f448f0dfbd2dbbb002098a1d2abe144ebd0f3980bd72b267","abstract_canon_sha256":"c0737247be605193ab3c243af4e2f5807bd8a7c8a8f63a76a9f232cb6ce26a01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:15.313887Z","signature_b64":"OFYU09GInqsVlTx3840H6DtUc44L78eHxkkzdSfiZtVtApZBvrCK0P6zhjziTcWF5O15eViuWPrpWWkPTCfIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56db2f5542c2e4fa6c86e7382c504520cf070235ac01ec08c9e522ae263cb10f","last_reissued_at":"2026-05-18T02:07:15.313135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:15.313135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the mixing property for a class of states of relativistic quantum fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Christian D. Jaekel, Heide Narnhofer, Walter F. Wreszinski","submitted_at":"2010-05-23T22:07:25Z","abstract_excerpt":"Let $\\omega$ be a factor state on the quasi-local algebra $\\cal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(\\phi)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $\\omega$ in the weak* topology, for which the time evolution is weakly asymptotically abelian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4235","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1005.4235","created_at":"2026-05-18T02:07:15.313243+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.4235v1","created_at":"2026-05-18T02:07:15.313243+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4235","created_at":"2026-05-18T02:07:15.313243+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3NS6VKCYLSP","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3NS6VKCYLSPU3EG","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3NS6VKC","created_at":"2026-05-18T12:26:09.077623+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/K3NS6VKCYLSPU3EG444CYUCFED","json":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED.json","graph_json":"https://pith.science/api/pith-number/K3NS6VKCYLSPU3EG444CYUCFED/graph.json","events_json":"https://pith.science/api/pith-number/K3NS6VKCYLSPU3EG444CYUCFED/events.json","paper":"https://pith.science/paper/K3NS6VKC"},"agent_actions":{"view_html":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED","download_json":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED.json","view_paper":"https://pith.science/paper/K3NS6VKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.4235&json=true","fetch_graph":"https://pith.science/api/pith-number/K3NS6VKCYLSPU3EG444CYUCFED/graph.json","fetch_events":"https://pith.science/api/pith-number/K3NS6VKCYLSPU3EG444CYUCFED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED/action/storage_attestation","attest_author":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED/action/author_attestation","sign_citation":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED/action/citation_signature","submit_replication":"https://pith.science/pith/K3NS6VKCYLSPU3EG444CYUCFED/action/replication_record"}},"created_at":"2026-05-18T02:07:15.313243+00:00","updated_at":"2026-05-18T02:07:15.313243+00:00"}