{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SWHIX7IWDEE4O3KBF6MLQX6PBH","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":"f93c126656e39aff7a8ae14939bbb3bbb64ce8f0d0cd66b14090ec5e3be6a1b1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-21T19:17:04Z","title_canon_sha256":"baba254c131c2aee8a9efed413e0eafda7494d7f41fcc3e45c73a6224e8c23f0"},"schema_version":"1.0","source":{"id":"1010.4557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4557","created_at":"2026-05-18T04:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4557v2","created_at":"2026-05-18T04:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4557","created_at":"2026-05-18T04:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"SWHIX7IWDEE4","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SWHIX7IWDEE4O3KB","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SWHIX7IW","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:0787125c0a71d6f07b9143ca74ddf6e2866eece419fb831e6371aa53fd7adb16","target":"graph","created_at":"2026-05-18T04:19:03Z","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":"The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\\hbar\\to 0$ this yields the non-Hermitian analog of the Ehrenfest theorem for the dynamics of observable expectation values. The lack of Hermiticity reveals the importance of the complex structure on the classical phase space: The resulting equations of motion are coupled to an equation of motion for the phase space metric---a phenomenon having no analog in Hermitian theories.","authors_text":"Eva-Maria Graefe, Roman Schubert","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-21T19:17:04Z","title":"Wave packet evolution in non-Hermitian quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4557","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":"sha256:12a5b8a2e2c21cb86a891c0f1d416382829db7e54fd4d7fb5adf0aa61bc0b813","target":"record","created_at":"2026-05-18T04:19:03Z","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":"f93c126656e39aff7a8ae14939bbb3bbb64ce8f0d0cd66b14090ec5e3be6a1b1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-21T19:17:04Z","title_canon_sha256":"baba254c131c2aee8a9efed413e0eafda7494d7f41fcc3e45c73a6224e8c23f0"},"schema_version":"1.0","source":{"id":"1010.4557","kind":"arxiv","version":2}},"canonical_sha256":"958e8bfd161909c76d412f98b85fcf09d1fb75e2b370667efd19d62168134fda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"958e8bfd161909c76d412f98b85fcf09d1fb75e2b370667efd19d62168134fda","first_computed_at":"2026-05-18T04:19:03.256087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:03.256087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3h+9v9Y0MKijt0rQRHdJUWs2j27mGR/JTOEf6Q5SaydWwIcV87vlXWZUMoahzB9boKEan/8tNX/O9UU/J4kCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:03.256606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12a5b8a2e2c21cb86a891c0f1d416382829db7e54fd4d7fb5adf0aa61bc0b813","sha256:0787125c0a71d6f07b9143ca74ddf6e2866eece419fb831e6371aa53fd7adb16"],"state_sha256":"1a9462f751eda446e4873cd05735dc832d923fa21de89081621460af441f278a"}