{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:3RFPIGKFD3ZYQX74HOI2UVQ5BX","short_pith_number":"pith:3RFPIGKF","schema_version":"1.0","canonical_sha256":"dc4af419451ef3885ffc3b91aa561d0df14f243be748a8354e4668d84422f18e","source":{"kind":"arxiv","id":"2205.01321","version":3},"attestation_state":"computed","paper":{"title":"Solvable non-Hermitian skin effect in many-body unitary dynamics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Marko Znidaric","submitted_at":"2022-05-03T06:17:30Z","abstract_excerpt":"We study unitary evolution of bipartite entanglement in a circuit with nearest-neighbor random gates. Deriving a compact non-unitary description of purity dynamics on qudits we find a sudden transition in the purity relaxation rate the origin of which is in the underlying boundary localized eigenmodes -- the skin effect. We provide the full solution of the problem, being one of the simplest iterations of two-site matrices, namely, that each is a sum of only two projectors. This leads to rich dynamics influenced by the Jordan normal form of the kernel and, most importantly, a spectrum that is c"},"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":"2205.01321","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-05-03T06:17:30Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"b24ee24b2cb35ba0fddc2f8dec2169a91171877288d3751b95e34dbbe13790dd","abstract_canon_sha256":"9ea5f537ef2ea5389e86d1dede2ebab5f456fca9c3deff02fd511b7c7122881e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:40:53.571016Z","signature_b64":"UmAyCJuZ+ShTs4hxGdyMAaIoPTq8z3F5tjsWZgV+fEyruz1AM0463Gr2eccGj/BgLU4st/mi0vPnZqTSrA3sCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc4af419451ef3885ffc3b91aa561d0df14f243be748a8354e4668d84422f18e","last_reissued_at":"2026-07-05T04:40:53.570556Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:40:53.570556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solvable non-Hermitian skin effect in many-body unitary dynamics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Marko Znidaric","submitted_at":"2022-05-03T06:17:30Z","abstract_excerpt":"We study unitary evolution of bipartite entanglement in a circuit with nearest-neighbor random gates. Deriving a compact non-unitary description of purity dynamics on qudits we find a sudden transition in the purity relaxation rate the origin of which is in the underlying boundary localized eigenmodes -- the skin effect. We provide the full solution of the problem, being one of the simplest iterations of two-site matrices, namely, that each is a sum of only two projectors. This leads to rich dynamics influenced by the Jordan normal form of the kernel and, most importantly, a spectrum that is c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01321","kind":"arxiv","version":3},"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/2205.01321/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":"2205.01321","created_at":"2026-07-05T04:40:53.570629+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.01321v3","created_at":"2026-07-05T04:40:53.570629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01321","created_at":"2026-07-05T04:40:53.570629+00:00"},{"alias_kind":"pith_short_12","alias_value":"3RFPIGKFD3ZY","created_at":"2026-07-05T04:40:53.570629+00:00"},{"alias_kind":"pith_short_16","alias_value":"3RFPIGKFD3ZYQX74","created_at":"2026-07-05T04:40:53.570629+00:00"},{"alias_kind":"pith_short_8","alias_value":"3RFPIGKF","created_at":"2026-07-05T04:40:53.570629+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/3RFPIGKFD3ZYQX74HOI2UVQ5BX","json":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX.json","graph_json":"https://pith.science/api/pith-number/3RFPIGKFD3ZYQX74HOI2UVQ5BX/graph.json","events_json":"https://pith.science/api/pith-number/3RFPIGKFD3ZYQX74HOI2UVQ5BX/events.json","paper":"https://pith.science/paper/3RFPIGKF"},"agent_actions":{"view_html":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX","download_json":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX.json","view_paper":"https://pith.science/paper/3RFPIGKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.01321&json=true","fetch_graph":"https://pith.science/api/pith-number/3RFPIGKFD3ZYQX74HOI2UVQ5BX/graph.json","fetch_events":"https://pith.science/api/pith-number/3RFPIGKFD3ZYQX74HOI2UVQ5BX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX/action/storage_attestation","attest_author":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX/action/author_attestation","sign_citation":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX/action/citation_signature","submit_replication":"https://pith.science/pith/3RFPIGKFD3ZYQX74HOI2UVQ5BX/action/replication_record"}},"created_at":"2026-07-05T04:40:53.570629+00:00","updated_at":"2026-07-05T04:40:53.570629+00:00"}