{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:P4NHTE2JYTKVZ6XRQ7EJEQB2VU","short_pith_number":"pith:P4NHTE2J","schema_version":"1.0","canonical_sha256":"7f1a799349c4d55cfaf187c892403aad20eb02463f16a4a34c903eed2c0d5819","source":{"kind":"arxiv","id":"2312.17386","version":1},"attestation_state":"computed","paper":{"title":"PT-symmetric quantum mechanics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Carl M. Bender, Daniel W. Hook","submitted_at":"2023-12-28T22:23:03Z","abstract_excerpt":"It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one that has a positive-definite spectrum and obeys the requirement of unitarity) must be Hermitian. However, a PT-symmetric Hamiltonian can also define a physically acceptable quantum-mechanical system even if the Hamiltonian is not Hermitian. The study of PT-symmetric quantum systems is a young and extremely active research area in both theoretical and experimental physics. The purpose of this Review is to provide established scientists as well as graduate students with a compact, easy-to-read introduction"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2312.17386","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-28T22:23:03Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"c0f901c07e3b768d4134b2c2e2f001abe14fc0733ac391df9c29e7c3d1404d8e","abstract_canon_sha256":"2ac9f70fd8b776e28563575fe19d4b7181c18b003a84eca415ce242e409acfa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:29:14.492877Z","signature_b64":"JZ9aXDXugW1rxrAAhNa8jeyB2vNxy3ySIaeTSX37WR4Dfn9SsNhXTA8OnRNI/q+l/9S549ffDa774touXSfgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f1a799349c4d55cfaf187c892403aad20eb02463f16a4a34c903eed2c0d5819","last_reissued_at":"2026-07-05T07:29:14.492376Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:29:14.492376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"PT-symmetric quantum mechanics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Carl M. Bender, Daniel W. Hook","submitted_at":"2023-12-28T22:23:03Z","abstract_excerpt":"It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one that has a positive-definite spectrum and obeys the requirement of unitarity) must be Hermitian. However, a PT-symmetric Hamiltonian can also define a physically acceptable quantum-mechanical system even if the Hamiltonian is not Hermitian. The study of PT-symmetric quantum systems is a young and extremely active research area in both theoretical and experimental physics. The purpose of this Review is to provide established scientists as well as graduate students with a compact, easy-to-read introduction"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17386","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.17386/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2312.17386","created_at":"2026-07-05T07:29:14.492434+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.17386v1","created_at":"2026-07-05T07:29:14.492434+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17386","created_at":"2026-07-05T07:29:14.492434+00:00"},{"alias_kind":"pith_short_12","alias_value":"P4NHTE2JYTKV","created_at":"2026-07-05T07:29:14.492434+00:00"},{"alias_kind":"pith_short_16","alias_value":"P4NHTE2JYTKVZ6XR","created_at":"2026-07-05T07:29:14.492434+00:00"},{"alias_kind":"pith_short_8","alias_value":"P4NHTE2J","created_at":"2026-07-05T07:29:14.492434+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.13251","citing_title":"Kubo-Martin-Schwinger conditions for non-Hermitian systems","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2606.13251","citing_title":"Kubo-Martin-Schwinger conditions for non-Hermitian systems","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16168","citing_title":"Supergravity flows, wormholes and their pseudo-Hermitian holographic duals","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16168","citing_title":"Supergravity flows, wormholes and their pseudo-Hermitian holographic duals","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2602.02649","citing_title":"Non-Hermitian free-fermion critical systems and logarithmic conformal field theory","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05878","citing_title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05335","citing_title":"Geometric and Topological Obstructions to Hermitianization in Quasi-Hermitian Quantum Systems","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22421","citing_title":"Two flavor neutrino oscillations in presence of non-Hermitian dynamics","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05335","citing_title":"Geometric and Topological Obstructions to Hermitianization in Quasi-Hermitian Quantum Systems","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05878","citing_title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU","json":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU.json","graph_json":"https://pith.science/api/pith-number/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/graph.json","events_json":"https://pith.science/api/pith-number/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/events.json","paper":"https://pith.science/paper/P4NHTE2J"},"agent_actions":{"view_html":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU","download_json":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU.json","view_paper":"https://pith.science/paper/P4NHTE2J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.17386&json=true","fetch_graph":"https://pith.science/api/pith-number/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/graph.json","fetch_events":"https://pith.science/api/pith-number/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/action/storage_attestation","attest_author":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/action/author_attestation","sign_citation":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/action/citation_signature","submit_replication":"https://pith.science/pith/P4NHTE2JYTKVZ6XRQ7EJEQB2VU/action/replication_record"}},"created_at":"2026-07-05T07:29:14.492434+00:00","updated_at":"2026-07-05T07:29:14.492434+00:00"}