{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:G3STNCX4SNH6MLIX56VS5CKAXJ","short_pith_number":"pith:G3STNCX4","schema_version":"1.0","canonical_sha256":"36e5368afc934fe62d17efab2e8940ba4fb1efba6bbedd075aa0ab266ba395bc","source":{"kind":"arxiv","id":"1104.3818","version":2},"attestation_state":"computed","paper":{"title":"Operator ordering and causality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"L.I.Plimak, S.T.Stenholm","submitted_at":"2011-04-19T17:56:49Z","abstract_excerpt":"It is shown that causality violations [M. de Haan, Physica 132A, 375, 397 (1985)], emerging when the conventional definition of the time-normal operator ordering [P.L.Kelley and W.H.Kleiner, Phys.Rev. 136, A316 (1964)] is taken outside the rotating wave approximation, disappear when the amended definition [L.P. and S.S., Annals of Physics, 323, 1989 (2008)] of this ordering is used."},"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":"1104.3818","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-19T17:56:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b55cf94266ec4e17e345dc5f205cb460b519d2d6fbfe53a041aecbf16b2185ee","abstract_canon_sha256":"b5cd75d6b26ba3493c053153477f8f436958e2ea0097f2321cf3576f626cc6c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:22.602697Z","signature_b64":"zjmUt33BEuhsr+BDz2SOG1cz+aNf9Gwa5zH3ZYvq3ZawmyzVLWzrsl4JMh3IDaYKXYgVTnTIlkl5kEnbWZiVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36e5368afc934fe62d17efab2e8940ba4fb1efba6bbedd075aa0ab266ba395bc","last_reissued_at":"2026-05-18T02:02:22.602017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:22.602017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator ordering and causality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"L.I.Plimak, S.T.Stenholm","submitted_at":"2011-04-19T17:56:49Z","abstract_excerpt":"It is shown that causality violations [M. de Haan, Physica 132A, 375, 397 (1985)], emerging when the conventional definition of the time-normal operator ordering [P.L.Kelley and W.H.Kleiner, Phys.Rev. 136, A316 (1964)] is taken outside the rotating wave approximation, disappear when the amended definition [L.P. and S.S., Annals of Physics, 323, 1989 (2008)] of this ordering is used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3818","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":"1104.3818","created_at":"2026-05-18T02:02:22.602104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.3818v2","created_at":"2026-05-18T02:02:22.602104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3818","created_at":"2026-05-18T02:02:22.602104+00:00"},{"alias_kind":"pith_short_12","alias_value":"G3STNCX4SNH6","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"G3STNCX4SNH6MLIX","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"G3STNCX4","created_at":"2026-05-18T12:26:28.662955+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/G3STNCX4SNH6MLIX56VS5CKAXJ","json":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ.json","graph_json":"https://pith.science/api/pith-number/G3STNCX4SNH6MLIX56VS5CKAXJ/graph.json","events_json":"https://pith.science/api/pith-number/G3STNCX4SNH6MLIX56VS5CKAXJ/events.json","paper":"https://pith.science/paper/G3STNCX4"},"agent_actions":{"view_html":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ","download_json":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ.json","view_paper":"https://pith.science/paper/G3STNCX4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.3818&json=true","fetch_graph":"https://pith.science/api/pith-number/G3STNCX4SNH6MLIX56VS5CKAXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/G3STNCX4SNH6MLIX56VS5CKAXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ/action/storage_attestation","attest_author":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ/action/author_attestation","sign_citation":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ/action/citation_signature","submit_replication":"https://pith.science/pith/G3STNCX4SNH6MLIX56VS5CKAXJ/action/replication_record"}},"created_at":"2026-05-18T02:02:22.602104+00:00","updated_at":"2026-05-18T02:02:22.602104+00:00"}