{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:IY6HZFFGRRQSTEIRWCO5G2GDOS","short_pith_number":"pith:IY6HZFFG","schema_version":"1.0","canonical_sha256":"463c7c94a68c61299111b09dd368c3748c1b43bc6664eec605f972e919826781","source":{"kind":"arxiv","id":"2006.01837","version":1},"attestation_state":"computed","paper":{"title":"Non-Hermitian Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Masahito Ueda, Yuto Ashida, Zongping Gong","submitted_at":"2020-06-02T18:00:01Z","abstract_excerpt":"A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity and parity-time symmetry, are delineated in a pedagogical and mathematically coherent manner. Building on these, we provide an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-Hermitian wave physics. In particular, we discuss rich a"},"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":"2006.01837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-06-02T18:00:01Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"2c9628b1e1cfa36078073c78cef88ce4034a8accf75fb962ee711ef22ace2d24","abstract_canon_sha256":"57a414ee9a538134bacd7c62a92372c78e7bf2ad0f3b9d344bf4e6a8cf88aecd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:00.412708Z","signature_b64":"eQufOjk5tT35PElyp+NpzumCOHt7Iwehb2psV3Km3gKeE8chZL0G609iOeHUNw5z55evRRd2TAT3fodnvvLkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"463c7c94a68c61299111b09dd368c3748c1b43bc6664eec605f972e919826781","last_reissued_at":"2026-07-05T02:35:00.412202Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:00.412202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Hermitian Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Masahito Ueda, Yuto Ashida, Zongping Gong","submitted_at":"2020-06-02T18:00:01Z","abstract_excerpt":"A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity and parity-time symmetry, are delineated in a pedagogical and mathematically coherent manner. Building on these, we provide an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-Hermitian wave physics. In particular, we discuss rich a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.01837","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/2006.01837/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":"2006.01837","created_at":"2026-07-05T02:35:00.412261+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.01837v1","created_at":"2026-07-05T02:35:00.412261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.01837","created_at":"2026-07-05T02:35:00.412261+00:00"},{"alias_kind":"pith_short_12","alias_value":"IY6HZFFGRRQS","created_at":"2026-07-05T02:35:00.412261+00:00"},{"alias_kind":"pith_short_16","alias_value":"IY6HZFFGRRQSTEIR","created_at":"2026-07-05T02:35:00.412261+00:00"},{"alias_kind":"pith_short_8","alias_value":"IY6HZFFG","created_at":"2026-07-05T02:35:00.412261+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":24,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07703","citing_title":"Non-Hermitian Edge State Endocytosis","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2606.18629","citing_title":"Holographic Dual of PT Symmetric BCFT","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2606.14208","citing_title":"Real-time pseudo entropy and modular-Hamiltonian correlations","ref_index":35,"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":"2606.12580","citing_title":"Scalar Quantum Fields: Theory Space and its Geometry","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2605.30850","citing_title":"Quantum Photonic Time Crystals: From Temporal Boundaries to Floquet Light-Matter Interactions","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2606.31697","citing_title":"Hadronic exceptional points","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2606.13251","citing_title":"Kubo-Martin-Schwinger conditions for non-Hermitian systems","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16168","citing_title":"Supergravity flows, wormholes and their pseudo-Hermitian holographic duals","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23725","citing_title":"Nonreciprocal conductance in uniformly dissipative devices","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2512.02110","citing_title":"Exceptional Points and Resonance in Black Hole Ringdown","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2512.24528","citing_title":"Geometric phase from encircling an exceptional point of a quantum resonance in the complex-scaling method","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17840","citing_title":"Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16168","citing_title":"Supergravity flows, wormholes and their pseudo-Hermitian holographic duals","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17840","citing_title":"Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2004.06434","citing_title":"Pseudospectrum and black hole quasi-normal mode (in)stability","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2511.00565","citing_title":"Reflectionless and echo modes in asymmetric Damour-Solodukhin wormholes","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2602.02649","citing_title":"Non-Hermitian free-fermion critical systems and logarithmic conformal field theory","ref_index":2,"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":1,"is_internal_anchor":false},{"citing_arxiv_id":"2505.23895","citing_title":"Black hole spectroscopy: from theory to experiment","ref_index":185,"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":1,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13358","citing_title":"Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators","ref_index":7,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS","json":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS.json","graph_json":"https://pith.science/api/pith-number/IY6HZFFGRRQSTEIRWCO5G2GDOS/graph.json","events_json":"https://pith.science/api/pith-number/IY6HZFFGRRQSTEIRWCO5G2GDOS/events.json","paper":"https://pith.science/paper/IY6HZFFG"},"agent_actions":{"view_html":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS","download_json":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS.json","view_paper":"https://pith.science/paper/IY6HZFFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.01837&json=true","fetch_graph":"https://pith.science/api/pith-number/IY6HZFFGRRQSTEIRWCO5G2GDOS/graph.json","fetch_events":"https://pith.science/api/pith-number/IY6HZFFGRRQSTEIRWCO5G2GDOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS/action/storage_attestation","attest_author":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS/action/author_attestation","sign_citation":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS/action/citation_signature","submit_replication":"https://pith.science/pith/IY6HZFFGRRQSTEIRWCO5G2GDOS/action/replication_record"}},"created_at":"2026-07-05T02:35:00.412261+00:00","updated_at":"2026-07-05T02:35:00.412261+00:00"}