{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:53RBWYQSPCIY7TT7RFWSJF7Y32","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":"6651378a6922b1794322729c4d28918150a2b55dcd9b6132d1a21925d0645252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-08-14T20:30:48Z","title_canon_sha256":"98a5ab0de8deed8462f130cdaf2a2cb677abe04330dd3d798b29db32db8afae6"},"schema_version":"1.0","source":{"id":"1308.3245","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3245","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3245v2","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3245","created_at":"2026-05-18T01:48:15Z"},{"alias_kind":"pith_short_12","alias_value":"53RBWYQSPCIY","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"53RBWYQSPCIY7TT7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"53RBWYQS","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:880b10f469424e18a6538afde8ab93887a1b90766db44df3df180884ecb57d1b","target":"graph","created_at":"2026-05-18T01:48:15Z","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 a simple model for implementing the concepts of quasi-energy and parametric resonances (PRs) in systems with the $\\mathcal{PT}$ symmetry, i.e., a pair of coupled and mutually balanced gain and loss elements. The parametric (ac) forcing is applied through periodic modulation of the coefficient accounting for the coupling of the two degrees of freedom. The system may be realized in optics as a dual-core waveguide with the gain and loss applied to different cores, and the thickness of the gap between them subject to a periodic modulation. The onset and development of the parametric i","authors_text":"Boris A. Malomed, Jennie D'Ambroise, P.G. Kevrekidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-08-14T20:30:48Z","title":"Quasi-energies, parametric resonances, and stability limits in ac-driven $\\mathcal{PT}$-symmetric systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3245","kind":"arxiv","version":2},"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:bb8a83c8dc05ce7e3054ea6501b48e121bd3719f08b4ee2c53d0697986460aa5","target":"record","created_at":"2026-05-18T01:48:15Z","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":"6651378a6922b1794322729c4d28918150a2b55dcd9b6132d1a21925d0645252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-08-14T20:30:48Z","title_canon_sha256":"98a5ab0de8deed8462f130cdaf2a2cb677abe04330dd3d798b29db32db8afae6"},"schema_version":"1.0","source":{"id":"1308.3245","kind":"arxiv","version":2}},"canonical_sha256":"eee21b621278918fce7f896d2497f8de9559614141a7908c0d4ad87196c3566e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eee21b621278918fce7f896d2497f8de9559614141a7908c0d4ad87196c3566e","first_computed_at":"2026-05-18T01:48:15.429150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:15.429150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z1wUv1NYp0SMxXLVAL3/t/1vpZbgvfqjywj+h6PIrr5BJYDOl373dHGIORinJfdmBeJD7nJjYmCYQ7I3+i1QDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:15.429672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3245","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb8a83c8dc05ce7e3054ea6501b48e121bd3719f08b4ee2c53d0697986460aa5","sha256:880b10f469424e18a6538afde8ab93887a1b90766db44df3df180884ecb57d1b"],"state_sha256":"122be08b2cdc7810817b343109f46383f3ed8f5ed1e66b19fdb5244347e40a9e"}