{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7XIH2BXT2ZAAC66E26II7R3DRU","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":"8aabb74d887054f93d695e666ec5b95b7e602f9527a08455d4b731703417040e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-03T10:21:27Z","title_canon_sha256":"e643ff3b1154c21a10ba85b731db35ed125c1b97803581c4611511f4fc780139"},"schema_version":"1.0","source":{"id":"1312.0757","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0757","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0757v2","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0757","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"7XIH2BXT2ZAA","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7XIH2BXT2ZAAC66E","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7XIH2BXT","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:8d397a4f49c0643124b698be5b56c12522d98629d0cfe1bd786ea874b04bbd57","target":"graph","created_at":"2026-05-18T01:32:10Z","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 a Parity-time (PT) invariant non-Hermitian quasi-exactly solvable (QES) potential which exhibits PT phase transition. We numerically study this potential in a complex plane classically to demonstrate different quantum effects. The particle with real energy makes closed orbits around one of the periodic wells of the complex potential depending on the initial condition. However interestingly the particle can have open orbits even with real energy if it is initially placed in certain region between the two wells on the same side of the imaginary axis. On the other hand when the partic","authors_text":"Bhabani Prasad Mandal, Sushant S. Mahajan","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-03T10:21:27Z","title":"Complex Classical Mechanics of a QES Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0757","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":"sha256:4362fe325f7eac8bb2351836a9e500b1b1dbecad368eae8c5f1f657b39024e80","target":"record","created_at":"2026-05-18T01:32:10Z","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":"8aabb74d887054f93d695e666ec5b95b7e602f9527a08455d4b731703417040e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-03T10:21:27Z","title_canon_sha256":"e643ff3b1154c21a10ba85b731db35ed125c1b97803581c4611511f4fc780139"},"schema_version":"1.0","source":{"id":"1312.0757","kind":"arxiv","version":2}},"canonical_sha256":"fdd07d06f3d640017bc4d7908fc7638d3d5ba12ab4f0fc643f1898f865d5fca3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdd07d06f3d640017bc4d7908fc7638d3d5ba12ab4f0fc643f1898f865d5fca3","first_computed_at":"2026-05-18T01:32:10.976178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:10.976178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wAiFjVRDomJYxIwbHA2D3JRIUqbqXgW/00lKF1dSp+3/NUS28ZJqW0LnBPiV+5sKlL9ys9O6GCc0NA5Li7HTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:10.976961Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0757","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4362fe325f7eac8bb2351836a9e500b1b1dbecad368eae8c5f1f657b39024e80","sha256:8d397a4f49c0643124b698be5b56c12522d98629d0cfe1bd786ea874b04bbd57"],"state_sha256":"0d7cf18019e1329ec58b40a5b2b8b12a764a45d8ef05e200e9b9fc7da9b948ae"}