{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ZCKGZX7U6SUFHO4IHFGGLVHGHU","short_pith_number":"pith:ZCKGZX7U","schema_version":"1.0","canonical_sha256":"c8946cdff4f4a853bb88394c65d4e63d136bece8f483166bd5acb11d1465b200","source":{"kind":"arxiv","id":"2507.08294","version":3},"attestation_state":"computed","paper":{"title":"Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Yasuhiro Tada","submitted_at":"2025-07-11T03:55:52Z","abstract_excerpt":"The expectation value of the twist operator has been widely used as a polarization-based index for gapped and gapless phases in interacting quantum many-body systems. Although numerous studies support this usage in specific settings and rigorous results have established the validity of the criterion in important settings, the precise assumptions required for it to sharply distinguish gapped and gapless phases under more general conditions have not been fully clarified. In this work, we clarify the logical status of polarization-based indices by formulating symmetry-based statements under expli"},"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":"2507.08294","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-07-11T03:55:52Z","cross_cats_sorted":[],"title_canon_sha256":"a8647e1757cce88da8e2ff1ed9475c3a39c9f008370b53a2d30f6d8e8250e34e","abstract_canon_sha256":"f3e7e021a0bdfb0607d7d59ad6f966aac866bd8006608066e09e4aa12a6df3b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:05.577641Z","signature_b64":"QeyCdRD9KJVoKOIpmKMY949RaUo0YqdeWtJeIFkSeho1/LM1RsjPQdZ0QaZ04ZqsREuLMLUo44c8AzSI57lvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8946cdff4f4a853bb88394c65d4e63d136bece8f483166bd5acb11d1465b200","last_reissued_at":"2026-05-25T02:01:05.576701Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:05.576701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Yasuhiro Tada","submitted_at":"2025-07-11T03:55:52Z","abstract_excerpt":"The expectation value of the twist operator has been widely used as a polarization-based index for gapped and gapless phases in interacting quantum many-body systems. Although numerous studies support this usage in specific settings and rigorous results have established the validity of the criterion in important settings, the precise assumptions required for it to sharply distinguish gapped and gapless phases under more general conditions have not been fully clarified. In this work, we clarify the logical status of polarization-based indices by formulating symmetry-based statements under expli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.08294","kind":"arxiv","version":3},"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/2507.08294/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":"2507.08294","created_at":"2026-05-25T02:01:05.576838+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.08294v3","created_at":"2026-05-25T02:01:05.576838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.08294","created_at":"2026-05-25T02:01:05.576838+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZCKGZX7U6SUF","created_at":"2026-05-25T02:01:05.576838+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZCKGZX7U6SUFHO4I","created_at":"2026-05-25T02:01:05.576838+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZCKGZX7U","created_at":"2026-05-25T02:01:05.576838+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/ZCKGZX7U6SUFHO4IHFGGLVHGHU","json":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU.json","graph_json":"https://pith.science/api/pith-number/ZCKGZX7U6SUFHO4IHFGGLVHGHU/graph.json","events_json":"https://pith.science/api/pith-number/ZCKGZX7U6SUFHO4IHFGGLVHGHU/events.json","paper":"https://pith.science/paper/ZCKGZX7U"},"agent_actions":{"view_html":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU","download_json":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU.json","view_paper":"https://pith.science/paper/ZCKGZX7U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.08294&json=true","fetch_graph":"https://pith.science/api/pith-number/ZCKGZX7U6SUFHO4IHFGGLVHGHU/graph.json","fetch_events":"https://pith.science/api/pith-number/ZCKGZX7U6SUFHO4IHFGGLVHGHU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU/action/storage_attestation","attest_author":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU/action/author_attestation","sign_citation":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU/action/citation_signature","submit_replication":"https://pith.science/pith/ZCKGZX7U6SUFHO4IHFGGLVHGHU/action/replication_record"}},"created_at":"2026-05-25T02:01:05.576838+00:00","updated_at":"2026-05-25T02:01:05.576838+00:00"}