{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HPSRAPTALUKKOAW4PQWOIHXTID","short_pith_number":"pith:HPSRAPTA","schema_version":"1.0","canonical_sha256":"3be5103e605d14a702dc7c2ce41ef340cf232dd172485f6493f545400197e5c5","source":{"kind":"arxiv","id":"2507.00127","version":1},"attestation_state":"computed","paper":{"title":"Detection of 2D SPT phases under decoherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Alex Turzillo, Chong Wang, Naren Manjunath","submitted_at":"2025-06-30T18:00:03Z","abstract_excerpt":"We propose a bulk order parameter for extracting symmetry-protected topological (SPT) invariants of quantum many-body mixed states on a two dimensional lattice using partial symmetries. The procedure builds on the partial symmetry order parameter recently developed by some of the authors to study SPT phases of pure states and adapts them to the decohered setting. For a symmetry $G = E \\times A$ where $E$ is a strong symmetry and $A$ is a weak symmetry, we show that the partial symmetry order parameter detects SPT invariants jointly protected by $E$ and $A$. We demonstrate this explicitly using"},"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":"2507.00127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-06-30T18:00:03Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"3568285fc0a580a7f560ea46a6934315fa83a2ce376aa38c05868e8ec10f35a0","abstract_canon_sha256":"e6347d5a279dce6474caa3d09c586efb30d67454ff829368bd8d1cd7c4652215"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:29:37.773216Z","signature_b64":"NUAUZr6bYMQZi987FarD0T806JZ8rKBXuHcms2o3pOswy8lz1bC5YI4rP3JOLGxBv6FlY96u7SIHJYtFezn5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3be5103e605d14a702dc7c2ce41ef340cf232dd172485f6493f545400197e5c5","last_reissued_at":"2026-07-05T11:29:37.772654Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:29:37.772654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detection of 2D SPT phases under decoherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Alex Turzillo, Chong Wang, Naren Manjunath","submitted_at":"2025-06-30T18:00:03Z","abstract_excerpt":"We propose a bulk order parameter for extracting symmetry-protected topological (SPT) invariants of quantum many-body mixed states on a two dimensional lattice using partial symmetries. The procedure builds on the partial symmetry order parameter recently developed by some of the authors to study SPT phases of pure states and adapts them to the decohered setting. For a symmetry $G = E \\times A$ where $E$ is a strong symmetry and $A$ is a weak symmetry, we show that the partial symmetry order parameter detects SPT invariants jointly protected by $E$ and $A$. We demonstrate this explicitly using"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.00127","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/2507.00127/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":"2507.00127","created_at":"2026-07-05T11:29:37.772719+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.00127v1","created_at":"2026-07-05T11:29:37.772719+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.00127","created_at":"2026-07-05T11:29:37.772719+00:00"},{"alias_kind":"pith_short_12","alias_value":"HPSRAPTALUKK","created_at":"2026-07-05T11:29:37.772719+00:00"},{"alias_kind":"pith_short_16","alias_value":"HPSRAPTALUKKOAW4","created_at":"2026-07-05T11:29:37.772719+00:00"},{"alias_kind":"pith_short_8","alias_value":"HPSRAPTA","created_at":"2026-07-05T11:29:37.772719+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.02555","citing_title":"Strong-to-Weak Spontaneous Symmetry Breaking","ref_index":38,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID","json":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID.json","graph_json":"https://pith.science/api/pith-number/HPSRAPTALUKKOAW4PQWOIHXTID/graph.json","events_json":"https://pith.science/api/pith-number/HPSRAPTALUKKOAW4PQWOIHXTID/events.json","paper":"https://pith.science/paper/HPSRAPTA"},"agent_actions":{"view_html":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID","download_json":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID.json","view_paper":"https://pith.science/paper/HPSRAPTA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.00127&json=true","fetch_graph":"https://pith.science/api/pith-number/HPSRAPTALUKKOAW4PQWOIHXTID/graph.json","fetch_events":"https://pith.science/api/pith-number/HPSRAPTALUKKOAW4PQWOIHXTID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID/action/storage_attestation","attest_author":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID/action/author_attestation","sign_citation":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID/action/citation_signature","submit_replication":"https://pith.science/pith/HPSRAPTALUKKOAW4PQWOIHXTID/action/replication_record"}},"created_at":"2026-07-05T11:29:37.772719+00:00","updated_at":"2026-07-05T11:29:37.772719+00:00"}