{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JDQNU45KOEHV3VVQBY4ZJOLBW7","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":"d0f42a1be5807b3e6a1e3fe80d236c63696342259c4bf96e6bdc2344be473f77","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-10-04T07:38:14Z","title_canon_sha256":"437d68e0627e44b66da0d1b31ee78c06ba5cc9b6a4f72882ed54cf465b7332fb"},"schema_version":"1.0","source":{"id":"1710.01489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01489","created_at":"2026-05-18T00:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01489v1","created_at":"2026-05-18T00:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01489","created_at":"2026-05-18T00:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"JDQNU45KOEHV","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JDQNU45KOEHV3VVQ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JDQNU45K","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:248d82690f248ed8e8883fc0845365aa428e309a010fe82f35e4ce1ef9d903df","target":"graph","created_at":"2026-05-18T00:33:42Z","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":"We consider the existence and stability of solitons in a $\\chi^{(2)}$ coupler. Both the fundamental and second harmonics undergo gain in one of the coupler cores and are absorbed in the other one. The gain and losses are balanced creating a parity-time (${\\cal PT}$) symmetric configuration. We present two types of families of ${\\cal PT}$-symmetric solitons, having equal and different profiles of the fundamental and second harmonics. It is shown that gain and losses can stabilize solitons. Interaction of stable solitons is shown. In the cascading limit the model is reduced to the ${\\cal PT}$-sy","authors_text":"F. Kh. Abdullaev, M. Ogren, V. v. Konotop","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-10-04T07:38:14Z","title":"Solitons in a ${\\cal PT}$- symmetric $\\chi^{(2)}$ coupler"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01489","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:e6f610bb5e0435016013dd6e310117095152c857d270d42e29fa9e850df0dbcc","target":"record","created_at":"2026-05-18T00:33:42Z","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":"d0f42a1be5807b3e6a1e3fe80d236c63696342259c4bf96e6bdc2344be473f77","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-10-04T07:38:14Z","title_canon_sha256":"437d68e0627e44b66da0d1b31ee78c06ba5cc9b6a4f72882ed54cf465b7332fb"},"schema_version":"1.0","source":{"id":"1710.01489","kind":"arxiv","version":1}},"canonical_sha256":"48e0da73aa710f5dd6b00e3994b961b7ed801adc50f63842e3ce7b165ee85a50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48e0da73aa710f5dd6b00e3994b961b7ed801adc50f63842e3ce7b165ee85a50","first_computed_at":"2026-05-18T00:33:42.600201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:42.600201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gBKw7gHX3pMJXh6w4huvQ5ePQeKc/6R7jpRoiV/GNE8KUrnJSoroO+yaXEDTOI4R/lMa4umlZkHG4DO/4Nv7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:42.600685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6f610bb5e0435016013dd6e310117095152c857d270d42e29fa9e850df0dbcc","sha256:248d82690f248ed8e8883fc0845365aa428e309a010fe82f35e4ce1ef9d903df"],"state_sha256":"ef345b9bfe0a7984b0be83aa040e6e9dfc9c009361c23528502ba195a89fcf95"}