{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K4ZKABYETQSAJPMHGTXXD7GRAS","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":"c137967128c8e6e9e7d37d83de501e9aa5afe1f9871d8f981ea52971c01cb9ff","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-27T00:57:35Z","title_canon_sha256":"6c6b2ec0f1da0336f7598a0bb7d412a2534c96a26dde212f9002d04d11e6ebb9"},"schema_version":"1.0","source":{"id":"1109.5759","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5759","created_at":"2026-05-18T02:00:23Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5759v1","created_at":"2026-05-18T02:00:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5759","created_at":"2026-05-18T02:00:23Z"},{"alias_kind":"pith_short_12","alias_value":"K4ZKABYETQSA","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K4ZKABYETQSAJPMH","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K4ZKABYE","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:1ff7e36fbe027c5335ca6edabada59603fd71c570dbe900d4999807fda044e5e","target":"graph","created_at":"2026-05-18T02:00:23Z","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":"Families of analytical solutions are found for symmetric and antisymmetric solitons in the dual-core system with the Kerr nonlinearity and PT-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge into one in the \"supersymmetric\" case, with equal coefficients of the gain, loss and inter-core coupling. These ","authors_text":"2), Boris A. Malomed (2) ((1) Jerusalem College of Engineering - Ramat Beit HaKerem, Israel), Israel (2) Department of Physical Electronics, Jerusalem, Rodislav Driben (1, School of Electrical Engineering, Tel Aviv, Tel Aviv University","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-27T00:57:35Z","title":"Stability of solitons in PT-symmetric couplers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5759","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:e0b9d871a04aad544162f0a506decb8324e2fbce546fa0fa28ebb5a4237398e2","target":"record","created_at":"2026-05-18T02:00:23Z","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":"c137967128c8e6e9e7d37d83de501e9aa5afe1f9871d8f981ea52971c01cb9ff","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-09-27T00:57:35Z","title_canon_sha256":"6c6b2ec0f1da0336f7598a0bb7d412a2534c96a26dde212f9002d04d11e6ebb9"},"schema_version":"1.0","source":{"id":"1109.5759","kind":"arxiv","version":1}},"canonical_sha256":"5732a007049c2404bd8734ef71fcd104a7b09b911bf36b2756479660661349bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5732a007049c2404bd8734ef71fcd104a7b09b911bf36b2756479660661349bf","first_computed_at":"2026-05-18T02:00:23.068098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:23.068098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wY9na71DKfg1Cx6BIm6MlpSKzSRw7hFCG0ejHeLi+RQU4wRByp9G0Kn5x890leJKsOazMsReal3seHG/a3s2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:23.068792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5759","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0b9d871a04aad544162f0a506decb8324e2fbce546fa0fa28ebb5a4237398e2","sha256:1ff7e36fbe027c5335ca6edabada59603fd71c570dbe900d4999807fda044e5e"],"state_sha256":"e4fa65955a361174f9c8a08e9e2631a3a022efaf3ebaee9f4118346be1c0e72d"}