{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:F4WTA3FQKPX3SMXHZ326HZGE3U","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e7ace87f95f63ae60310998082272350585bd21c89a8178c24290b17712f7be2","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-02T00:40:56Z","title_canon_sha256":"4b49508aafb0ced2aa2e70dd5d8577a88e6e91889ed2093e8db9a777d32a16e4"},"schema_version":"1.0","source":{"id":"2509.01853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.01853","created_at":"2026-07-05T12:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2509.01853v1","created_at":"2026-07-05T12:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01853","created_at":"2026-07-05T12:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"F4WTA3FQKPX3","created_at":"2026-07-05T12:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"F4WTA3FQKPX3SMXH","created_at":"2026-07-05T12:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"F4WTA3FQ","created_at":"2026-07-05T12:03:09Z"}],"graph_snapshots":[{"event_id":"sha256:f9c288d9abf97aafca818c6d8857b72c0488b21f743b142d379c4713cb29ff40","target":"graph","created_at":"2026-07-05T12:03:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.01853/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Kramers-Wannier duality introduces a well-known non-invertible symmetry in the critical transverse-field Ising model. In this work, we extend this concept to a broad class of quantum lattice models induced from integrability, providing explicit expressions for the Kramers-Wannier operators that can be systematically computed.","authors_text":"Rui-Dong Zhu","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-02T00:40:56Z","title":"Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01853","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0c50d22683c5260445069c47720ff8754fd05825c24813bacb533d1efc3e923a","target":"record","created_at":"2026-07-05T12:03:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e7ace87f95f63ae60310998082272350585bd21c89a8178c24290b17712f7be2","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-09-02T00:40:56Z","title_canon_sha256":"4b49508aafb0ced2aa2e70dd5d8577a88e6e91889ed2093e8db9a777d32a16e4"},"schema_version":"1.0","source":{"id":"2509.01853","kind":"arxiv","version":1}},"canonical_sha256":"2f2d306cb053efb932e7cef5e3e4c4dd3ba8251747d654b7e9770f422ff4f702","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f2d306cb053efb932e7cef5e3e4c4dd3ba8251747d654b7e9770f422ff4f702","first_computed_at":"2026-07-05T12:03:09.970187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:03:09.970187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ul6GdcybCl4rSpoSc9uPMM9YTUp+uy5K3Wsj1UToIVpjuAnMb1/DR4jBtMAABSORQApXaGNSS/v4wsCgOieeCA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:03:09.970687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.01853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c50d22683c5260445069c47720ff8754fd05825c24813bacb533d1efc3e923a","sha256:f9c288d9abf97aafca818c6d8857b72c0488b21f743b142d379c4713cb29ff40"],"state_sha256":"08af3056795c3bee1c08d0261873d97eb51b3c6f68c3982951e884d0a9d0eb3c"}