{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RCXGJEKGQ2YDI7A5UXWD7J5AXP","short_pith_number":"pith:RCXGJEKG","schema_version":"1.0","canonical_sha256":"88ae64914686b0347c1da5ec3fa7a0bbcb99c15eaf8be8c95cab5a01e24638a7","source":{"kind":"arxiv","id":"1212.1676","version":3},"attestation_state":"computed","paper":{"title":"Parity-time symmetric optical coupler with birefringent arms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. A. Zezyulin, K. Li, P. G. Kevrekidis, V. v. Konotop","submitted_at":"2012-12-07T18:42:59Z","abstract_excerpt":"In this work, we propose a PT-symmetric coupler whose arms are birefringent waveguides as a realistic physical model which leads to a so-called quadrimer i.e., a four complex field setting. We seek stationary solutions of the resulting linear and nonlinear model, identifying its linear point of PT symmetry breaking and examining the corresponding nonlinear solutions that persist up to this point, as well as, so-called, ghost states that bifurcate from them. We obtain the relevant symmetry breaking bifurcations and numerically follow the associated dynamics which give rise to growth/decay even "},"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":"1212.1676","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-07T18:42:59Z","cross_cats_sorted":[],"title_canon_sha256":"48a73b300f3e3fc88d526a06fbf838f985732862f8235b466cc84c7ea4bdbe98","abstract_canon_sha256":"655eea78797d8a3bedbf447e566c09f6d08e5e13b6a535b1724552004506cc69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:46.421663Z","signature_b64":"SmggWA1JMWStxN4I3SA3pLLeWvf3G1QxUV+WxTlaOC22t5u3k31tbZ0bDJyE0Vm/n9vjYmbjrOrqQy5WBo0oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88ae64914686b0347c1da5ec3fa7a0bbcb99c15eaf8be8c95cab5a01e24638a7","last_reissued_at":"2026-05-18T01:52:46.421077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:46.421077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parity-time symmetric optical coupler with birefringent arms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. A. Zezyulin, K. Li, P. G. Kevrekidis, V. v. Konotop","submitted_at":"2012-12-07T18:42:59Z","abstract_excerpt":"In this work, we propose a PT-symmetric coupler whose arms are birefringent waveguides as a realistic physical model which leads to a so-called quadrimer i.e., a four complex field setting. We seek stationary solutions of the resulting linear and nonlinear model, identifying its linear point of PT symmetry breaking and examining the corresponding nonlinear solutions that persist up to this point, as well as, so-called, ghost states that bifurcate from them. We obtain the relevant symmetry breaking bifurcations and numerically follow the associated dynamics which give rise to growth/decay even "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1676","kind":"arxiv","version":3},"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":"1212.1676","created_at":"2026-05-18T01:52:46.421161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1676v3","created_at":"2026-05-18T01:52:46.421161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1676","created_at":"2026-05-18T01:52:46.421161+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCXGJEKGQ2YD","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCXGJEKGQ2YDI7A5","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCXGJEKG","created_at":"2026-05-18T12:27:20.899486+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/RCXGJEKGQ2YDI7A5UXWD7J5AXP","json":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP.json","graph_json":"https://pith.science/api/pith-number/RCXGJEKGQ2YDI7A5UXWD7J5AXP/graph.json","events_json":"https://pith.science/api/pith-number/RCXGJEKGQ2YDI7A5UXWD7J5AXP/events.json","paper":"https://pith.science/paper/RCXGJEKG"},"agent_actions":{"view_html":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP","download_json":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP.json","view_paper":"https://pith.science/paper/RCXGJEKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1676&json=true","fetch_graph":"https://pith.science/api/pith-number/RCXGJEKGQ2YDI7A5UXWD7J5AXP/graph.json","fetch_events":"https://pith.science/api/pith-number/RCXGJEKGQ2YDI7A5UXWD7J5AXP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP/action/storage_attestation","attest_author":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP/action/author_attestation","sign_citation":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP/action/citation_signature","submit_replication":"https://pith.science/pith/RCXGJEKGQ2YDI7A5UXWD7J5AXP/action/replication_record"}},"created_at":"2026-05-18T01:52:46.421161+00:00","updated_at":"2026-05-18T01:52:46.421161+00:00"}