{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KO7GVRLGBSL7G5BLV2FVCZAKFJ","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":"517dbb3ab34ec4ec5e3ec0b9b1a558fab8e653ea7bb30b87063deb5733993697","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-12-08T14:17:06Z","title_canon_sha256":"801334a950e6e5d74b208ade4510133d518b5801882a2c1c20ce912232da84ce"},"schema_version":"1.0","source":{"id":"1412.2574","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2574","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2574v3","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2574","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"KO7GVRLGBSL7","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KO7GVRLGBSL7G5BL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KO7GVRLG","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:7906059d9722c05eff7e68af89444945cc3b5a7e6c96c4ec1e5b7323728524d7","target":"graph","created_at":"2026-05-18T01:24:19Z","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 investigate the remarkable role of position dependent damping in determining the parametric regions of symmetry breaking in nonlinear $\\cal{PT}$-symmetric systems. We illustrate the nature of $\\cal{PT}$-symmetry preservation and breaking with reference to a remarkable integrable scalar nonlinear system. In the two dimensional cases of such position dependent damped systems, we unveil the existence of a class of novel bi-$\\cal{PT}$-symmetric systems which have two fold $\\cal{PT}$ symmetries. We analyze the dynamics of these systems and show how symmetry breaking occurs, that is whether the s","authors_text":"M. Lakshmanan, M. Senthilvelan, S. Karthiga, V.K. Chandrasekar","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-12-08T14:17:06Z","title":"Bi-$\\cal{PT}$ symmetry in nonlinearly damped dynamical systems and tailoring $\\cal{PT}$ regions with position dependent loss-gain profiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2574","kind":"arxiv","version":3},"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":"sha256:970cb4432c7980ed15cad33f79d3b0dae2ecca925e7bc9f1e4237a516ed72797","target":"record","created_at":"2026-05-18T01:24:19Z","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":"517dbb3ab34ec4ec5e3ec0b9b1a558fab8e653ea7bb30b87063deb5733993697","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-12-08T14:17:06Z","title_canon_sha256":"801334a950e6e5d74b208ade4510133d518b5801882a2c1c20ce912232da84ce"},"schema_version":"1.0","source":{"id":"1412.2574","kind":"arxiv","version":3}},"canonical_sha256":"53be6ac5660c97f3742bae8b51640a2a6dd369a7de597e996579911d28d0d15e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53be6ac5660c97f3742bae8b51640a2a6dd369a7de597e996579911d28d0d15e","first_computed_at":"2026-05-18T01:24:19.359146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:19.359146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mp1vx/Dj6o3Iy3bCbwUzoShLkUN7iToXBzGV45LkcC7Ivz3G5V1CACZfoVUpoR0CMgnrcQaVB3mDp08lgBSHDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:19.359715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2574","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:970cb4432c7980ed15cad33f79d3b0dae2ecca925e7bc9f1e4237a516ed72797","sha256:7906059d9722c05eff7e68af89444945cc3b5a7e6c96c4ec1e5b7323728524d7"],"state_sha256":"0a20fa55e4c81bc66dd02447c9e3767decd99bcee747ad809af3f1a93579fe0d"}