{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:K5OUINZVMINTWABLYM6ATHAK4V","short_pith_number":"pith:K5OUINZV","schema_version":"1.0","canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","source":{"kind":"arxiv","id":"1908.03928","version":2},"attestation_state":"computed","paper":{"title":"Classification of symmetry-protected topological phases in two-dimensional many body-localized systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Amos Chan, Joey Li, Thorsten B. Wahl","submitted_at":"2019-08-11T15:57:39Z","abstract_excerpt":"We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third cohomology class of the symmetry group is a topological invariant; however our approach leaves room for the existence of additional topological indices. We argue that our classification applies to quasi-periodic systems in two dimensions and systems with true random disorder within times which scale superexponentially with the inverse interaction strength. Our tech"},"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":"1908.03928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-11T15:57:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"63d827ed9724b0c97d830da36032db67cf612d5d1a52a5c8273b0151d12ac53e","abstract_canon_sha256":"45e9f565816e9e91e6ab6efb1eb7728483f87affacc1ef5f9504888b409cbf8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:22:35.980830Z","signature_b64":"REwdmfS4X7Q46FZ2z0hU2/HTmvQyvsHgr0QhWPioZt9VuQSMSj+ouz7LLq20X2qstwc8tOUya7D8Lz3E3iKzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"575d443735621b3b002bc33c099c0ae56dc4e3a742c2004efb837c4ef670499a","last_reissued_at":"2026-07-05T01:22:35.980424Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:22:35.980424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of symmetry-protected topological phases in two-dimensional many body-localized systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Amos Chan, Joey Li, Thorsten B. Wahl","submitted_at":"2019-08-11T15:57:39Z","abstract_excerpt":"We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third cohomology class of the symmetry group is a topological invariant; however our approach leaves room for the existence of additional topological indices. We argue that our classification applies to quasi-periodic systems in two dimensions and systems with true random disorder within times which scale superexponentially with the inverse interaction strength. Our tech"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03928","kind":"arxiv","version":2},"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/1908.03928/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":"1908.03928","created_at":"2026-07-05T01:22:35.980480+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.03928v2","created_at":"2026-07-05T01:22:35.980480+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03928","created_at":"2026-07-05T01:22:35.980480+00:00"},{"alias_kind":"pith_short_12","alias_value":"K5OUINZVMINT","created_at":"2026-07-05T01:22:35.980480+00:00"},{"alias_kind":"pith_short_16","alias_value":"K5OUINZVMINTWABL","created_at":"2026-07-05T01:22:35.980480+00:00"},{"alias_kind":"pith_short_8","alias_value":"K5OUINZV","created_at":"2026-07-05T01:22:35.980480+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/K5OUINZVMINTWABLYM6ATHAK4V","json":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V.json","graph_json":"https://pith.science/api/pith-number/K5OUINZVMINTWABLYM6ATHAK4V/graph.json","events_json":"https://pith.science/api/pith-number/K5OUINZVMINTWABLYM6ATHAK4V/events.json","paper":"https://pith.science/paper/K5OUINZV"},"agent_actions":{"view_html":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V","download_json":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V.json","view_paper":"https://pith.science/paper/K5OUINZV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.03928&json=true","fetch_graph":"https://pith.science/api/pith-number/K5OUINZVMINTWABLYM6ATHAK4V/graph.json","fetch_events":"https://pith.science/api/pith-number/K5OUINZVMINTWABLYM6ATHAK4V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/action/storage_attestation","attest_author":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/action/author_attestation","sign_citation":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/action/citation_signature","submit_replication":"https://pith.science/pith/K5OUINZVMINTWABLYM6ATHAK4V/action/replication_record"}},"created_at":"2026-07-05T01:22:35.980480+00:00","updated_at":"2026-07-05T01:22:35.980480+00:00"}