{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:3RFPIGKFD3ZYQX74HOI2UVQ5BX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9ea5f537ef2ea5389e86d1dede2ebab5f456fca9c3deff02fd511b7c7122881e","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-05-03T06:17:30Z","title_canon_sha256":"b24ee24b2cb35ba0fddc2f8dec2169a91171877288d3751b95e34dbbe13790dd"},"schema_version":"1.0","source":{"id":"2205.01321","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.01321","created_at":"2026-07-05T04:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"2205.01321v3","created_at":"2026-07-05T04:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01321","created_at":"2026-07-05T04:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"3RFPIGKFD3ZY","created_at":"2026-07-05T04:40:53Z"},{"alias_kind":"pith_short_16","alias_value":"3RFPIGKFD3ZYQX74","created_at":"2026-07-05T04:40:53Z"},{"alias_kind":"pith_short_8","alias_value":"3RFPIGKF","created_at":"2026-07-05T04:40:53Z"}],"graph_snapshots":[{"event_id":"sha256:65947d9faf63f43db38c06283b389f34b6fcacb85838049450f290a724756d12","target":"graph","created_at":"2026-07-05T04:40:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.01321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Marko Znidaric","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-05-03T06:17:30Z","title":"Solvable non-Hermitian skin effect in many-body unitary dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01321","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2e508c7936f9285a6f4c31a1c613d4c930720ebbd6d4668f4a7d3cd8f833da2d","target":"record","created_at":"2026-07-05T04:40:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9ea5f537ef2ea5389e86d1dede2ebab5f456fca9c3deff02fd511b7c7122881e","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2022-05-03T06:17:30Z","title_canon_sha256":"b24ee24b2cb35ba0fddc2f8dec2169a91171877288d3751b95e34dbbe13790dd"},"schema_version":"1.0","source":{"id":"2205.01321","kind":"arxiv","version":3}},"canonical_sha256":"dc4af419451ef3885ffc3b91aa561d0df14f243be748a8354e4668d84422f18e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc4af419451ef3885ffc3b91aa561d0df14f243be748a8354e4668d84422f18e","first_computed_at":"2026-07-05T04:40:53.570556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:40:53.570556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmAyCJuZ+ShTs4hxGdyMAaIoPTq8z3F5tjsWZgV+fEyruz1AM0463Gr2eccGj/BgLU4st/mi0vPnZqTSrA3sCg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:40:53.571016Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.01321","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e508c7936f9285a6f4c31a1c613d4c930720ebbd6d4668f4a7d3cd8f833da2d","sha256:65947d9faf63f43db38c06283b389f34b6fcacb85838049450f290a724756d12"],"state_sha256":"930ee6ea755c51c2d82902b3aae9130bdae793957d258d7d54a3c945b50e654f"}