{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZLEHK6L5KAJNRH3BQQPVNSE3KL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ef26ab2e89f5a6dc8a11776decbbe6cffb42c0d43ea4a46e83194401a7cbf6d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-24T19:02:58Z","title_canon_sha256":"6a7baeaf1cbe566d32af760ae4e312f4f41667c34aea84d9f23e096eed40eba9"},"schema_version":"1.0","source":{"id":"1604.07072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07072","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07072v1","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07072","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZLEHK6L5KAJN","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZLEHK6L5KAJNRH3B","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZLEHK6L5","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:7cf3ccca210ca11715ebf5fb2b1b202327281e0a4e8618d2565c1f748027231e","target":"graph","created_at":"2026-05-18T01:15:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The nonlinear dynamics of a balanced parity-time symmetric optical microring arrangement are analytically investigated. By considering gain and loss saturation effects, the pertinent conservation laws are explicitly obtained in the Stokes domain-thus establishing integrability. Our analysis indicates the existence of two regimes of oscillatory dynamics and frequency locking, both of which are analogous to those expected in linear parity-time symmetric systems. Unlike other saturable parity time symmetric systems considered before, the model studied in this work first operates in the symmetric ","authors_text":"Absar U. Hassan, Demetrios N. Christodoulides, Hossein Hodaei, Mercedeh Khajavikhan, Mohammad-Ali Miri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-24T19:02:58Z","title":"Integrable nonlinear parity-time symmetric optical oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07072","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:06cfc63d03321ba32764063adb9d397b3afe5d0ab5f8eb1a3a85169d6a1068ae","target":"record","created_at":"2026-05-18T01:15:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ef26ab2e89f5a6dc8a11776decbbe6cffb42c0d43ea4a46e83194401a7cbf6d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-24T19:02:58Z","title_canon_sha256":"6a7baeaf1cbe566d32af760ae4e312f4f41667c34aea84d9f23e096eed40eba9"},"schema_version":"1.0","source":{"id":"1604.07072","kind":"arxiv","version":1}},"canonical_sha256":"cac875797d5012d89f61841f56c89b52e38a5f27c59c210e655cf21194448042","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cac875797d5012d89f61841f56c89b52e38a5f27c59c210e655cf21194448042","first_computed_at":"2026-05-18T01:15:13.492953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:13.492953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GSSnfVqVxFpEPNva4+vrhxVMnn53lVNqP9ciIZXtIBne7dv+6iUyrn8kkK/aQOMO3gtpPMyGMK8ftKh8huV1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:13.493571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06cfc63d03321ba32764063adb9d397b3afe5d0ab5f8eb1a3a85169d6a1068ae","sha256:7cf3ccca210ca11715ebf5fb2b1b202327281e0a4e8618d2565c1f748027231e"],"state_sha256":"63b9aea834cf5a235ac3487d69d4d4e0c90eb5bf965a1ee60a00a16a0e075502"}