{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4NPTJR62WEUED5B7473EERUTN5","short_pith_number":"pith:4NPTJR62","schema_version":"1.0","canonical_sha256":"e35f34c7dab12841f43fe7f64246936f7dab122e58ae823f6da5b103e3699cdc","source":{"kind":"arxiv","id":"1802.00480","version":2},"attestation_state":"computed","paper":{"title":"Manifestation of Superposition and Coherence in $\\cal PT$-symmetry through the $\\eta$-inner Product","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Minyi Huang, Ray-Kuang Lee","submitted_at":"2018-01-31T02:09:08Z","abstract_excerpt":"Through the $\\eta$-inner product, we investigate $\\cal PT$-symmetric quantum mechanics from the viewpoint of superposition and coherence theory. It is argued that $\\cal PT$-symmetric quantum systems are endowed with stationary superposition or superposition-free properties. A physical interpretation of $\\eta$-inner product in $\\mathbb C^2$ is given through the Stokes parameters, showing the difference between broken and unbroken $\\cal PT$-symmetric quantum systems."},"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":"1802.00480","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T02:09:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9acffca9790b3431e4344172e10ca3a3b3a1db5e588f35bc72a1be7defdeacbb","abstract_canon_sha256":"4378c04ff6e006e78e2e64d88c0f5d6a6706d16faa806565f038f3e69bd3ba53"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:59.600497Z","signature_b64":"b+C8xSef6TtKzOpmYuaW2BJopa5SU14NwS3oW59JsQ3J28GWtrejbQY+ZgSRAZr5twd4iTv15BZBrqeZIPw3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e35f34c7dab12841f43fe7f64246936f7dab122e58ae823f6da5b103e3699cdc","last_reissued_at":"2026-05-18T00:04:59.600037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:59.600037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Manifestation of Superposition and Coherence in $\\cal PT$-symmetry through the $\\eta$-inner Product","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Minyi Huang, Ray-Kuang Lee","submitted_at":"2018-01-31T02:09:08Z","abstract_excerpt":"Through the $\\eta$-inner product, we investigate $\\cal PT$-symmetric quantum mechanics from the viewpoint of superposition and coherence theory. It is argued that $\\cal PT$-symmetric quantum systems are endowed with stationary superposition or superposition-free properties. A physical interpretation of $\\eta$-inner product in $\\mathbb C^2$ is given through the Stokes parameters, showing the difference between broken and unbroken $\\cal PT$-symmetric quantum systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00480","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1802.00480","created_at":"2026-05-18T00:04:59.600098+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.00480v2","created_at":"2026-05-18T00:04:59.600098+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00480","created_at":"2026-05-18T00:04:59.600098+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NPTJR62WEUE","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NPTJR62WEUED5B7","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NPTJR62","created_at":"2026-05-18T12:32:05.422762+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5","json":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5.json","graph_json":"https://pith.science/api/pith-number/4NPTJR62WEUED5B7473EERUTN5/graph.json","events_json":"https://pith.science/api/pith-number/4NPTJR62WEUED5B7473EERUTN5/events.json","paper":"https://pith.science/paper/4NPTJR62"},"agent_actions":{"view_html":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5","download_json":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5.json","view_paper":"https://pith.science/paper/4NPTJR62","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.00480&json=true","fetch_graph":"https://pith.science/api/pith-number/4NPTJR62WEUED5B7473EERUTN5/graph.json","fetch_events":"https://pith.science/api/pith-number/4NPTJR62WEUED5B7473EERUTN5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5/action/storage_attestation","attest_author":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5/action/author_attestation","sign_citation":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5/action/citation_signature","submit_replication":"https://pith.science/pith/4NPTJR62WEUED5B7473EERUTN5/action/replication_record"}},"created_at":"2026-05-18T00:04:59.600098+00:00","updated_at":"2026-05-18T00:04:59.600098+00:00"}