{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NADICM5O5WQ7JSRPPW4KFWMZ6Y","short_pith_number":"pith:NADICM5O","canonical_record":{"source":{"id":"1311.3677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-14T21:24:02Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2c9fe2814d67ba145e275f8d8e187dfe463df5edf4ec1c5a571fab22261b17c2","abstract_canon_sha256":"2cae4774cbaf7b8a7ee593626bd332664db7b1c26af19e7e0d1381f6092bc05c"},"schema_version":"1.0"},"canonical_sha256":"68068133aeeda1f4ca2f7db8a2d999f62b5efd0d357ecd5b0d0261f1aa744029","source":{"kind":"arxiv","id":"1311.3677","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3677","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3677v1","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3677","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"pith_short_12","alias_value":"NADICM5O5WQ7","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NADICM5O5WQ7JSRP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NADICM5O","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NADICM5O5WQ7JSRPPW4KFWMZ6Y","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-14T21:24:02Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2c9fe2814d67ba145e275f8d8e187dfe463df5edf4ec1c5a571fab22261b17c2","abstract_canon_sha256":"2cae4774cbaf7b8a7ee593626bd332664db7b1c26af19e7e0d1381f6092bc05c"},"schema_version":"1.0"},"canonical_sha256":"68068133aeeda1f4ca2f7db8a2d999f62b5efd0d357ecd5b0d0261f1aa744029","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:24.663392Z","signature_b64":"f3FmelcrqoYlL9zbJkcVoI2FyRhJ2cZk1f04tPMICTNpeEzLfJsx9Z858dBqpVPohsp6JIAr38AwzSRQFZ+qCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68068133aeeda1f4ca2f7db8a2d999f62b5efd0d357ecd5b0d0261f1aa744029","last_reissued_at":"2026-05-18T01:46:24.662779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:24.662779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3677","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:46:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0jjDc5jf75pzI3NkUUSUI658qq++jo4Uy+SkOAD/itTZOYcsbS2wB9pMkhgYsxc0JWkMjavPLl9Q2TIJXLivDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:44:34.764261Z"},"content_sha256":"fa8bd8cf053d59fd15b5be8082fb44d98bedd572c4f98e08818da34420395dac","schema_version":"1.0","event_id":"sha256:fa8bd8cf053d59fd15b5be8082fb44d98bedd572c4f98e08818da34420395dac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NADICM5O5WQ7JSRPPW4KFWMZ6Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability boundaries and collisions of two-dimensional solitons in PT-symmetric couplers with the cubic-quintic nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Gennadiy Burlak","submitted_at":"2013-11-14T21:24:02Z","abstract_excerpt":"We introduce one- and two-dimensional (1D and 2D) models of parity-time ($% \\mathcal{PT}$) -symmetric couplers with the mutually balanced linear gain and loss applied to the two cores, and cubic-quintic (CQ) nonlinearity acting in each one. The 2D and 1D models may be realized in dual-core optical waveguides, in the spatiotemporal and spatial domains, respectively. Stationary solutions for $\\mathcal{PT}$-symmetric solitons in these systems reduce to their counterparts in the usual coupler. The most essential problem is the stability of the solitons, which become unstable against symmetry break"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3677","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:46:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLsiqCDJCLLRQUWaVmqhAJWRUfg4HHCSslf4ofStVp64E+wZzBPhIXL1/GqEz5/f5VpKh95YFQqJcfj26m7rCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:44:34.764987Z"},"content_sha256":"d10c526c358d6fbd65feeda09f8e2f361161f6a4131c19489f4ad4121ae64199","schema_version":"1.0","event_id":"sha256:d10c526c358d6fbd65feeda09f8e2f361161f6a4131c19489f4ad4121ae64199"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/bundle.json","state_url":"https://pith.science/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T09:44:34Z","links":{"resolver":"https://pith.science/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y","bundle":"https://pith.science/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/bundle.json","state":"https://pith.science/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NADICM5O5WQ7JSRPPW4KFWMZ6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NADICM5O5WQ7JSRPPW4KFWMZ6Y","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":"2cae4774cbaf7b8a7ee593626bd332664db7b1c26af19e7e0d1381f6092bc05c","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-14T21:24:02Z","title_canon_sha256":"2c9fe2814d67ba145e275f8d8e187dfe463df5edf4ec1c5a571fab22261b17c2"},"schema_version":"1.0","source":{"id":"1311.3677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3677","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3677v1","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3677","created_at":"2026-05-18T01:46:24Z"},{"alias_kind":"pith_short_12","alias_value":"NADICM5O5WQ7","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NADICM5O5WQ7JSRP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NADICM5O","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:d10c526c358d6fbd65feeda09f8e2f361161f6a4131c19489f4ad4121ae64199","target":"graph","created_at":"2026-05-18T01:46:24Z","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 introduce one- and two-dimensional (1D and 2D) models of parity-time ($% \\mathcal{PT}$) -symmetric couplers with the mutually balanced linear gain and loss applied to the two cores, and cubic-quintic (CQ) nonlinearity acting in each one. The 2D and 1D models may be realized in dual-core optical waveguides, in the spatiotemporal and spatial domains, respectively. Stationary solutions for $\\mathcal{PT}$-symmetric solitons in these systems reduce to their counterparts in the usual coupler. The most essential problem is the stability of the solitons, which become unstable against symmetry break","authors_text":"Boris A. Malomed, Gennadiy Burlak","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-14T21:24:02Z","title":"Stability boundaries and collisions of two-dimensional solitons in PT-symmetric couplers with the cubic-quintic nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3677","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:fa8bd8cf053d59fd15b5be8082fb44d98bedd572c4f98e08818da34420395dac","target":"record","created_at":"2026-05-18T01:46:24Z","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":"2cae4774cbaf7b8a7ee593626bd332664db7b1c26af19e7e0d1381f6092bc05c","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-14T21:24:02Z","title_canon_sha256":"2c9fe2814d67ba145e275f8d8e187dfe463df5edf4ec1c5a571fab22261b17c2"},"schema_version":"1.0","source":{"id":"1311.3677","kind":"arxiv","version":1}},"canonical_sha256":"68068133aeeda1f4ca2f7db8a2d999f62b5efd0d357ecd5b0d0261f1aa744029","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68068133aeeda1f4ca2f7db8a2d999f62b5efd0d357ecd5b0d0261f1aa744029","first_computed_at":"2026-05-18T01:46:24.662779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:24.662779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3FmelcrqoYlL9zbJkcVoI2FyRhJ2cZk1f04tPMICTNpeEzLfJsx9Z858dBqpVPohsp6JIAr38AwzSRQFZ+qCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:24.663392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa8bd8cf053d59fd15b5be8082fb44d98bedd572c4f98e08818da34420395dac","sha256:d10c526c358d6fbd65feeda09f8e2f361161f6a4131c19489f4ad4121ae64199"],"state_sha256":"4c506a404612262eb9b9ffa3880fdec15633c0a2fbaa135742a5eeeb2d0b014c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M3IvDPYh2zxm8WSJ8qVhvfpfK1cEg1zKYd8gGMMGyD6/s37/7Rz7LUHO3sDroiJHyJ+qhQ1L+oHwpW6sGElVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:44:34.768827Z","bundle_sha256":"cf3558494f2fe731c602cc35007bc655c46d45ebb8e7983aeac3fe43c5134028"}}