{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TMUNZCUVDCJ7M4WFSSMBS5LH7W","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":"be19b218c3fe244987ef53c34c6bce0c90e8c53769440c73fd30c57c91953019","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-12T17:42:45Z","title_canon_sha256":"a54661c9acd8979b9d476131bda4d5f759ebde819d3bbedd5c7ff88c44cea3ef"},"schema_version":"1.0","source":{"id":"1610.03801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03801","created_at":"2026-05-18T01:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03801v1","created_at":"2026-05-18T01:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03801","created_at":"2026-05-18T01:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"TMUNZCUVDCJ7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TMUNZCUVDCJ7M4WF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TMUNZCUV","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:53c34971c59141548181e8bbee4d058ecd05b070d28cc914841f1c9af22ed247","target":"graph","created_at":"2026-05-18T01:02:29Z","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":"Carl Bender and collaborators have developed a quantum theory governed by Hamiltonians that are PT-symmetric rather than Hermitian. To implement this theory, the inner product was redefined to guarantee positive norms of eigenstates of the Hamiltonian. In the general case, which includes arbitrary time-dependence in the Hamiltonian, a modification of the Schrodinger equation is necessary as shown by Gong and Wang to conserve probability. In this paper, we derive the following selection rule: transitions induced by time dependence in a PT-symmetric Hamiltonian cannot occur between normalized st","authors_text":"David Garfinkle, Lawrence R. Mead","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-12T17:42:45Z","title":"A selection rule for transitions in PT-symmetric quantum theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03801","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":"sha256:92fdebd4cff04435a36a221fe1d0320c7fec9ac6bbceb75b6d7cc80b014a4020","target":"record","created_at":"2026-05-18T01:02:29Z","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":"be19b218c3fe244987ef53c34c6bce0c90e8c53769440c73fd30c57c91953019","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-12T17:42:45Z","title_canon_sha256":"a54661c9acd8979b9d476131bda4d5f759ebde819d3bbedd5c7ff88c44cea3ef"},"schema_version":"1.0","source":{"id":"1610.03801","kind":"arxiv","version":1}},"canonical_sha256":"9b28dc8a951893f672c59498197567fd976acad93864c0fb3b30a6cdb411bc2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b28dc8a951893f672c59498197567fd976acad93864c0fb3b30a6cdb411bc2e","first_computed_at":"2026-05-18T01:02:29.190852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:29.190852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gZ9i0kMdHvAUmKIQ2MrNNtHXAs1bW1D1hby7DwokrIqBlWZAIvqslnekZcz7prVk2TSYA+KMqVlaN4ns1G7aAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:29.191363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92fdebd4cff04435a36a221fe1d0320c7fec9ac6bbceb75b6d7cc80b014a4020","sha256:53c34971c59141548181e8bbee4d058ecd05b070d28cc914841f1c9af22ed247"],"state_sha256":"6a69587ebf261a44d2113c15c3962f0163d12999123cc89b1b0e67e2f06d19bc"}