{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:A56KTIPI2U74OLLQFYPTRSPDVB","short_pith_number":"pith:A56KTIPI","schema_version":"1.0","canonical_sha256":"077ca9a1e8d53fc72d702e1f38c9e3a84be2d475d61ffcf0e1412646a7d69dae","source":{"kind":"arxiv","id":"2505.00673","version":1},"attestation_state":"computed","paper":{"title":"Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Da-Chuan Lu, Fu Xu, Yi-Zhuang You","submitted_at":"2025-05-01T17:26:43Z","abstract_excerpt":"In this paper, we construct strange correlators and string order parameters for non-invertible symmetry protected topological phases (NISPTs) in 1+1d quantum lattice spin models. The strange correlator exhibits long-range order when evaluated between two distinct NISPTs and decays exponentially otherwise. We show that strange charged operators inserted into the strange correlator are linked to the interface algebra (boundary tube algebra) and are non-trivial when all its irreducible representations have dimensions greater than one. We discuss the generalization to higher dimensions. The string"},"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":"2505.00673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-01T17:26:43Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"695ca14f370562c93b82b5686d18fb3a2e50513be45e0aef3f165a1b6d80b0c8","abstract_canon_sha256":"7afa5119ccf8a413ebd906432779a8b415ca000c4ae7831cc3a2ff0e4e39bb2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:57:23.883127Z","signature_b64":"FoGY015Zk1pGoFPhlgU0+cHphs2qr3mjnpmPtxXe6BhJvNwK8gswueEzuRyjA/P78Z6N4Cf1zjI0I+yw4x0eBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"077ca9a1e8d53fc72d702e1f38c9e3a84be2d475d61ffcf0e1412646a7d69dae","last_reissued_at":"2026-07-05T10:57:23.882631Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:57:23.882631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Da-Chuan Lu, Fu Xu, Yi-Zhuang You","submitted_at":"2025-05-01T17:26:43Z","abstract_excerpt":"In this paper, we construct strange correlators and string order parameters for non-invertible symmetry protected topological phases (NISPTs) in 1+1d quantum lattice spin models. The strange correlator exhibits long-range order when evaluated between two distinct NISPTs and decays exponentially otherwise. We show that strange charged operators inserted into the strange correlator are linked to the interface algebra (boundary tube algebra) and are non-trivial when all its irreducible representations have dimensions greater than one. We discuss the generalization to higher dimensions. The string"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00673","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/2505.00673/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":"2505.00673","created_at":"2026-07-05T10:57:23.882698+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.00673v1","created_at":"2026-07-05T10:57:23.882698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00673","created_at":"2026-07-05T10:57:23.882698+00:00"},{"alias_kind":"pith_short_12","alias_value":"A56KTIPI2U74","created_at":"2026-07-05T10:57:23.882698+00:00"},{"alias_kind":"pith_short_16","alias_value":"A56KTIPI2U74OLLQ","created_at":"2026-07-05T10:57:23.882698+00:00"},{"alias_kind":"pith_short_8","alias_value":"A56KTIPI","created_at":"2026-07-05T10:57:23.882698+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.29804","citing_title":"Infrared Safety from ZX-Diagrams: A Categorical Proof of Soft-QED as Open Quantum System","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2506.23155","citing_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","ref_index":297,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB","json":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB.json","graph_json":"https://pith.science/api/pith-number/A56KTIPI2U74OLLQFYPTRSPDVB/graph.json","events_json":"https://pith.science/api/pith-number/A56KTIPI2U74OLLQFYPTRSPDVB/events.json","paper":"https://pith.science/paper/A56KTIPI"},"agent_actions":{"view_html":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB","download_json":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB.json","view_paper":"https://pith.science/paper/A56KTIPI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.00673&json=true","fetch_graph":"https://pith.science/api/pith-number/A56KTIPI2U74OLLQFYPTRSPDVB/graph.json","fetch_events":"https://pith.science/api/pith-number/A56KTIPI2U74OLLQFYPTRSPDVB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB/action/storage_attestation","attest_author":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB/action/author_attestation","sign_citation":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB/action/citation_signature","submit_replication":"https://pith.science/pith/A56KTIPI2U74OLLQFYPTRSPDVB/action/replication_record"}},"created_at":"2026-07-05T10:57:23.882698+00:00","updated_at":"2026-07-05T10:57:23.882698+00:00"}