{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MC2XEOVSDEIYZFVKBWSRAN3RMJ","short_pith_number":"pith:MC2XEOVS","schema_version":"1.0","canonical_sha256":"60b5723ab219118c96aa0da5103771626e7a7ab169b2b515c07acb927c0de8e3","source":{"kind":"arxiv","id":"2412.06133","version":4},"attestation_state":"computed","paper":{"title":"Symmetry and Topology of Monitored Quantum Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kohei Kawabata, Zhenyu Xiao","submitted_at":"2024-12-09T01:27:26Z","abstract_excerpt":"The interplay between unitary dynamics and quantum measurements induces diverse phenomena in open quantum systems with no counterparts in closed quantum systems at equilibrium. Here, we generally classify Kraus operators and their effective non-Hermitian dynamical generators, thereby establishing the tenfold classification for symmetry and topology of monitored free fermions. Our classification elucidates the role of topology in measurement-induced phase transitions and identifies potential topological terms in the corresponding nonlinear sigma models. Furthermore, we establish the bulk-bounda"},"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":"2412.06133","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-09T01:27:26Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"30fd0f4ba8b20518eaa6950dd0d514e129da4001d734eb8ef7d484bf94e82e26","abstract_canon_sha256":"1ea7cfa87b8ac20cc279ba38ba70f15873efa74adb4d6679d0b9f9b589a95bd1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:06.504872Z","signature_b64":"LZ6Qar5GfnPL9U8ZVtjpL8T5heFVDRvDnJHrT9rTE0DRBhnRE+G21swT29uGiNl+ODBhCiaftasgKKGjNbkfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60b5723ab219118c96aa0da5103771626e7a7ab169b2b515c07acb927c0de8e3","last_reissued_at":"2026-06-12T01:09:06.503984Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:06.503984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry and Topology of Monitored Quantum Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kohei Kawabata, Zhenyu Xiao","submitted_at":"2024-12-09T01:27:26Z","abstract_excerpt":"The interplay between unitary dynamics and quantum measurements induces diverse phenomena in open quantum systems with no counterparts in closed quantum systems at equilibrium. Here, we generally classify Kraus operators and their effective non-Hermitian dynamical generators, thereby establishing the tenfold classification for symmetry and topology of monitored free fermions. Our classification elucidates the role of topology in measurement-induced phase transitions and identifies potential topological terms in the corresponding nonlinear sigma models. Furthermore, we establish the bulk-bounda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06133","kind":"arxiv","version":4},"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/2412.06133/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":"2412.06133","created_at":"2026-06-12T01:09:06.504102+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.06133v4","created_at":"2026-06-12T01:09:06.504102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06133","created_at":"2026-06-12T01:09:06.504102+00:00"},{"alias_kind":"pith_short_12","alias_value":"MC2XEOVSDEIY","created_at":"2026-06-12T01:09:06.504102+00:00"},{"alias_kind":"pith_short_16","alias_value":"MC2XEOVSDEIYZFVK","created_at":"2026-06-12T01:09:06.504102+00:00"},{"alias_kind":"pith_short_8","alias_value":"MC2XEOVS","created_at":"2026-06-12T01:09:06.504102+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2507.13437","citing_title":"Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2508.18468","citing_title":"Entanglement dynamics of monitored noninteracting fermions on graphics processing units","ref_index":43,"is_internal_anchor":true},{"citing_arxiv_id":"2510.19459","citing_title":"Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions","ref_index":50,"is_internal_anchor":true},{"citing_arxiv_id":"2512.01772","citing_title":"Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2604.08650","citing_title":"Decoding coherent errors in toric codes on honeycomb and square lattices: duality to Majorana monitored dynamics and symmetry classes","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ","json":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ.json","graph_json":"https://pith.science/api/pith-number/MC2XEOVSDEIYZFVKBWSRAN3RMJ/graph.json","events_json":"https://pith.science/api/pith-number/MC2XEOVSDEIYZFVKBWSRAN3RMJ/events.json","paper":"https://pith.science/paper/MC2XEOVS"},"agent_actions":{"view_html":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ","download_json":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ.json","view_paper":"https://pith.science/paper/MC2XEOVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.06133&json=true","fetch_graph":"https://pith.science/api/pith-number/MC2XEOVSDEIYZFVKBWSRAN3RMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/MC2XEOVSDEIYZFVKBWSRAN3RMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ/action/storage_attestation","attest_author":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ/action/author_attestation","sign_citation":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ/action/citation_signature","submit_replication":"https://pith.science/pith/MC2XEOVSDEIYZFVKBWSRAN3RMJ/action/replication_record"}},"created_at":"2026-06-12T01:09:06.504102+00:00","updated_at":"2026-06-12T01:09:06.504102+00:00"}