{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IB4X2J6MOM5JFSB2AHKA4RCGUL","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":"2f88800f9b0c370df8fa7a78ffbe8b696fff73ab273f2ee73fadd69ec1d5a6f9","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T15:20:59Z","title_canon_sha256":"5ef1f8ec2cea84bb8de1939269adcd9a054153b316f654bd612da75c5f147d78"},"schema_version":"1.0","source":{"id":"1702.03811","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03811","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03811v2","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03811","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"IB4X2J6MOM5J","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IB4X2J6MOM5JFSB2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IB4X2J6M","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:bd21f62e58a91ec49cb94060b8086bb4b7fb1879cb15b5453f2ac4f103a51c73","target":"graph","created_at":"2026-05-18T00:44:19Z","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":"PT-symmetric quantum mechanics began with a study of the Hamiltonian $H=p^2+x^2(ix)^\\varepsilon$. When $\\varepsilon\\geq0$, the eigenvalues of this non-Hermitian Hamiltonian are discrete, real, and positive. This portion of parameter space is known as the region of unbroken PT symmetry. In the region of broken PT symmetry $\\varepsilon<0$ only a finite number of eigenvalues are real and the remaining eigenvalues appear as complex-conjugate pairs. The region of unbroken PT symmetry has been studied but the region of broken PT symmetry has thus far been unexplored. This paper presents a detailed n","authors_text":"Carl M. Bender, Christoph S\\\"underhauf, Daniel W. Hook, Nima Hassanpour, S. P. Klevansky, Zichao Wen","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T15:20:59Z","title":"Behavior of eigenvalues in a region of broken-PT symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03811","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:dada36ce04b31a600d32de9485c7d53310a4459dcbb23e13306e100b16f08c13","target":"record","created_at":"2026-05-18T00:44:19Z","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":"2f88800f9b0c370df8fa7a78ffbe8b696fff73ab273f2ee73fadd69ec1d5a6f9","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T15:20:59Z","title_canon_sha256":"5ef1f8ec2cea84bb8de1939269adcd9a054153b316f654bd612da75c5f147d78"},"schema_version":"1.0","source":{"id":"1702.03811","kind":"arxiv","version":2}},"canonical_sha256":"40797d27cc733a92c83a01d40e4446a2d5dbaf68992dffffea52d25f4def7eb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40797d27cc733a92c83a01d40e4446a2d5dbaf68992dffffea52d25f4def7eb1","first_computed_at":"2026-05-18T00:44:19.661290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:19.661290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dxl3VuYup7ppAEswIDsi6GycwsjlqanNQjff/WjPZ6B3rnrQjQfjh35aXjbV/COGdnK+ai2HlreWPeUOtBqmCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:19.661668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03811","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dada36ce04b31a600d32de9485c7d53310a4459dcbb23e13306e100b16f08c13","sha256:bd21f62e58a91ec49cb94060b8086bb4b7fb1879cb15b5453f2ac4f103a51c73"],"state_sha256":"ca2ffcb91c758097455bb7bb19532bcdb0198b2adbe4a96a0fc05bde4dd477f4"}