{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XDIFWHJAVSVIXWHWV4HW3YMAAC","short_pith_number":"pith:XDIFWHJA","schema_version":"1.0","canonical_sha256":"b8d05b1d20acaa8bd8f6af0f6de18000a1639f4abf2a4445008929929a233edb","source":{"kind":"arxiv","id":"1704.04115","version":1},"attestation_state":"computed","paper":{"title":"Parallel dynamics between non-Hermitian and Hermitian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"L. Jin, P. Wang, S. Lin, Z. Song","submitted_at":"2017-04-13T13:18:39Z","abstract_excerpt":"We study the connection between a family of non-Hermitian Hamiltonians H and Hermitian ones H based on exact solutions. In general, for a dynamic process in a non-Hermitian system H, there always exists a parallel dynamic process governed by the corresponding Hermitian conjugate Hamiltonian H{\\dag}. We show that a linear superposition of the two parallel dynamics is exactly equivalent to the time evolution of a state under a Hermitian Hamiltonian H. It reveals a novel connection between non-Hermitian and Hermitian 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":"1704.04115","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-13T13:18:39Z","cross_cats_sorted":[],"title_canon_sha256":"ed6dc2c07dfa31650fedd1c5f1564e31f566631af71ed5a4c1f2edc0c3ea8fd0","abstract_canon_sha256":"e73e2ae6cec5afaed45b3c50a51643026568d3262908318db603580ae90b62dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:11.467057Z","signature_b64":"KQ3p7bQMbklEz+7N5p1XzyLBOVvjz+KnWJBqufcZsfoIwV1qgyGqAwo/DEV+ZN1Z3H2tlE4nWmfMCTgiVmyJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8d05b1d20acaa8bd8f6af0f6de18000a1639f4abf2a4445008929929a233edb","last_reissued_at":"2026-05-18T00:14:11.466631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:11.466631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parallel dynamics between non-Hermitian and Hermitian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"L. Jin, P. Wang, S. Lin, Z. Song","submitted_at":"2017-04-13T13:18:39Z","abstract_excerpt":"We study the connection between a family of non-Hermitian Hamiltonians H and Hermitian ones H based on exact solutions. In general, for a dynamic process in a non-Hermitian system H, there always exists a parallel dynamic process governed by the corresponding Hermitian conjugate Hamiltonian H{\\dag}. We show that a linear superposition of the two parallel dynamics is exactly equivalent to the time evolution of a state under a Hermitian Hamiltonian H. It reveals a novel connection between non-Hermitian and Hermitian systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04115","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":""},"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":"1704.04115","created_at":"2026-05-18T00:14:11.466698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04115v1","created_at":"2026-05-18T00:14:11.466698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04115","created_at":"2026-05-18T00:14:11.466698+00:00"},{"alias_kind":"pith_short_12","alias_value":"XDIFWHJAVSVI","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XDIFWHJAVSVIXWHW","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XDIFWHJA","created_at":"2026-05-18T12:31:53.515858+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/XDIFWHJAVSVIXWHWV4HW3YMAAC","json":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC.json","graph_json":"https://pith.science/api/pith-number/XDIFWHJAVSVIXWHWV4HW3YMAAC/graph.json","events_json":"https://pith.science/api/pith-number/XDIFWHJAVSVIXWHWV4HW3YMAAC/events.json","paper":"https://pith.science/paper/XDIFWHJA"},"agent_actions":{"view_html":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC","download_json":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC.json","view_paper":"https://pith.science/paper/XDIFWHJA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04115&json=true","fetch_graph":"https://pith.science/api/pith-number/XDIFWHJAVSVIXWHWV4HW3YMAAC/graph.json","fetch_events":"https://pith.science/api/pith-number/XDIFWHJAVSVIXWHWV4HW3YMAAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC/action/storage_attestation","attest_author":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC/action/author_attestation","sign_citation":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC/action/citation_signature","submit_replication":"https://pith.science/pith/XDIFWHJAVSVIXWHWV4HW3YMAAC/action/replication_record"}},"created_at":"2026-05-18T00:14:11.466698+00:00","updated_at":"2026-05-18T00:14:11.466698+00:00"}