{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HTRBUZH6BA3DUSBB5LDJWKN2RW","short_pith_number":"pith:HTRBUZH6","schema_version":"1.0","canonical_sha256":"3ce21a64fe08363a4821eac69b29ba8d92434a338bf4d45d1df3d8427d15940c","source":{"kind":"arxiv","id":"2506.13096","version":1},"attestation_state":"computed","paper":{"title":"Diagnosing 2D symmetry protected topological states via mixed state anomaly","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Chao Xu, Shenghan Jiang, Yingfei Gu, Yixin Ma, Yunlong Zang","submitted_at":"2025-06-16T05:00:03Z","abstract_excerpt":"Symmetry-protected topological (SPT) phases are short-range entangled quantum states characterized by anomalous edge behavior, a manifestation of the bulk-boundary correspondence for topological phases. Moreover, the Li-Haldane conjecture posits that the entanglement spectrum exhibits the same anomaly as the physical edge spectrum, thereby serving as an entanglement-based fingerprint for identifying topological phases. In this work, we extend the entanglement-based diagnostic tools by demonstrating that the edge anomaly is manifested not only in the entanglement spectrum but also in the reduce"},"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":"2506.13096","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-06-16T05:00:03Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9b0bd468695c34fb1fafc77654de1952de1c7707e189c0e8e81d1fc08cfc2674","abstract_canon_sha256":"274ba92f9be4535f5c67396e3008c5e02b9a6e70cb291ba0e85f8a9a158aad62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:05.081188Z","signature_b64":"ZE2xGvYzcVv2l/sZw2DzKpS9lbDnNYMJN3ARa+zChv16Bwibi8OUsYwV8zFqBDiIDPpCSJWGacxeXsPdfk/gAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ce21a64fe08363a4821eac69b29ba8d92434a338bf4d45d1df3d8427d15940c","last_reissued_at":"2026-07-05T11:22:05.080791Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:05.080791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diagnosing 2D symmetry protected topological states via mixed state anomaly","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Chao Xu, Shenghan Jiang, Yingfei Gu, Yixin Ma, Yunlong Zang","submitted_at":"2025-06-16T05:00:03Z","abstract_excerpt":"Symmetry-protected topological (SPT) phases are short-range entangled quantum states characterized by anomalous edge behavior, a manifestation of the bulk-boundary correspondence for topological phases. Moreover, the Li-Haldane conjecture posits that the entanglement spectrum exhibits the same anomaly as the physical edge spectrum, thereby serving as an entanglement-based fingerprint for identifying topological phases. In this work, we extend the entanglement-based diagnostic tools by demonstrating that the edge anomaly is manifested not only in the entanglement spectrum but also in the reduce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.13096","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/2506.13096/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":"2506.13096","created_at":"2026-07-05T11:22:05.080847+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.13096v1","created_at":"2026-07-05T11:22:05.080847+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.13096","created_at":"2026-07-05T11:22:05.080847+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTRBUZH6BA3D","created_at":"2026-07-05T11:22:05.080847+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTRBUZH6BA3DUSBB","created_at":"2026-07-05T11:22:05.080847+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTRBUZH6","created_at":"2026-07-05T11:22:05.080847+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12132","citing_title":"From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12132","citing_title":"From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations","ref_index":28,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24872","citing_title":"Anomaly and symmetry-charge flow in mixed states","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW","json":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW.json","graph_json":"https://pith.science/api/pith-number/HTRBUZH6BA3DUSBB5LDJWKN2RW/graph.json","events_json":"https://pith.science/api/pith-number/HTRBUZH6BA3DUSBB5LDJWKN2RW/events.json","paper":"https://pith.science/paper/HTRBUZH6"},"agent_actions":{"view_html":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW","download_json":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW.json","view_paper":"https://pith.science/paper/HTRBUZH6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.13096&json=true","fetch_graph":"https://pith.science/api/pith-number/HTRBUZH6BA3DUSBB5LDJWKN2RW/graph.json","fetch_events":"https://pith.science/api/pith-number/HTRBUZH6BA3DUSBB5LDJWKN2RW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW/action/storage_attestation","attest_author":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW/action/author_attestation","sign_citation":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW/action/citation_signature","submit_replication":"https://pith.science/pith/HTRBUZH6BA3DUSBB5LDJWKN2RW/action/replication_record"}},"created_at":"2026-07-05T11:22:05.080847+00:00","updated_at":"2026-07-05T11:22:05.080847+00:00"}