{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:57E3VFIKI646DXYYQ25K6GN4DB","short_pith_number":"pith:57E3VFIK","schema_version":"1.0","canonical_sha256":"efc9ba950a47b9e1df1886baaf19bc18480899b6f6da8afc7f0cea22927bfca4","source":{"kind":"arxiv","id":"1401.4043","version":1},"attestation_state":"computed","paper":{"title":"Causality and phase transitions in PT-symmetrical optical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","quant-ph"],"primary_cat":"physics.optics","authors_text":"A. A. Lisyansky, A. A. Pukhov, A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko","submitted_at":"2014-01-16T14:39:06Z","abstract_excerpt":"We discuss phase transitions in PT-symmetric optical systems. We show that due to frequency dispersion of the dielectric permittivity, an optical system can have PT-symmetry at isolated frequency points only. An assumption of the existence of a PT-symmetric system in a continuous frequency interval violates the causality principle. Therefore, the ideal symmetry-breaking transition cannot be observed by simply varying the frequency."},"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":"1401.4043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-01-16T14:39:06Z","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"9c53032fd3a001c6305338e1e6ba060393b76c920e7fcfa631d6b97ec35255df","abstract_canon_sha256":"a613f59f551fcb089cb78187d992537d0ac723e1ac8b3ccf41d8be435cc1f65e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:24.853896Z","signature_b64":"frzjlyllsfq6qzZmpjyL1qjDeGjQqL+Kv3KnzeU6AX/poqfh4qRnstKbomwP1lNT3kzb+QFi//sfEWSiz1xgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efc9ba950a47b9e1df1886baaf19bc18480899b6f6da8afc7f0cea22927bfca4","last_reissued_at":"2026-05-18T01:45:24.853446Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:24.853446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Causality and phase transitions in PT-symmetrical optical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","quant-ph"],"primary_cat":"physics.optics","authors_text":"A. A. Lisyansky, A. A. Pukhov, A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko","submitted_at":"2014-01-16T14:39:06Z","abstract_excerpt":"We discuss phase transitions in PT-symmetric optical systems. We show that due to frequency dispersion of the dielectric permittivity, an optical system can have PT-symmetry at isolated frequency points only. An assumption of the existence of a PT-symmetric system in a continuous frequency interval violates the causality principle. Therefore, the ideal symmetry-breaking transition cannot be observed by simply varying the frequency."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4043","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":"1401.4043","created_at":"2026-05-18T01:45:24.853516+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.4043v1","created_at":"2026-05-18T01:45:24.853516+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4043","created_at":"2026-05-18T01:45:24.853516+00:00"},{"alias_kind":"pith_short_12","alias_value":"57E3VFIKI646","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"57E3VFIKI646DXYY","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"57E3VFIK","created_at":"2026-05-18T12:28:14.216126+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/57E3VFIKI646DXYYQ25K6GN4DB","json":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB.json","graph_json":"https://pith.science/api/pith-number/57E3VFIKI646DXYYQ25K6GN4DB/graph.json","events_json":"https://pith.science/api/pith-number/57E3VFIKI646DXYYQ25K6GN4DB/events.json","paper":"https://pith.science/paper/57E3VFIK"},"agent_actions":{"view_html":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB","download_json":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB.json","view_paper":"https://pith.science/paper/57E3VFIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.4043&json=true","fetch_graph":"https://pith.science/api/pith-number/57E3VFIKI646DXYYQ25K6GN4DB/graph.json","fetch_events":"https://pith.science/api/pith-number/57E3VFIKI646DXYYQ25K6GN4DB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB/action/storage_attestation","attest_author":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB/action/author_attestation","sign_citation":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB/action/citation_signature","submit_replication":"https://pith.science/pith/57E3VFIKI646DXYYQ25K6GN4DB/action/replication_record"}},"created_at":"2026-05-18T01:45:24.853516+00:00","updated_at":"2026-05-18T01:45:24.853516+00:00"}