{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:D3OXN3DBVMZJKLD2BNKQAAK5OF","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":"5043229d0c5e3d22c1762b080d54eb0d66762a90166063fa608e75411b4d3da5","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-04T19:00:00Z","title_canon_sha256":"897256b3b1cf7525ca3933dce09f66303b6e51cb63e57da74c28c21e6ebb80f2"},"schema_version":"1.0","source":{"id":"2503.02925","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.02925","created_at":"2026-07-05T12:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"2503.02925v2","created_at":"2026-07-05T12:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.02925","created_at":"2026-07-05T12:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"D3OXN3DBVMZJ","created_at":"2026-07-05T12:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"D3OXN3DBVMZJKLD2","created_at":"2026-07-05T12:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"D3OXN3DB","created_at":"2026-07-05T12:03:24Z"}],"graph_snapshots":[{"event_id":"sha256:fe9f703807d01652bb7519511e43c764e02d29f880668f1915ab7c024636eed9","target":"graph","created_at":"2026-07-05T12:03:24Z","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/2503.02925/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a general prescription for gauging finite non-invertible symmetries in 1+1d lattice Hamiltonian systems. Our primary example is the Rep(D$_8$) fusion category generated by the Kennedy-Tasaki transformation, which is the simplest anomaly-free non-invertible symmetry on a spin chain of qubits. We explicitly compute its lattice F-symbols and illustrate our prescription for a particular (non-maximal) gauging of this symmetry. In our gauging procedure, we introduce two qubits around each link, playing the role of \"gauge fields\" for the non-invertible symmetry, and impose novel Gauss's la","authors_text":"Sahand Seifnashri, Shu-Heng Shao, Xinping Yang","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-04T19:00:00Z","title":"Gauging non-invertible symmetries on the lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.02925","kind":"arxiv","version":2},"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:c3e9b064bc6e2d2272d3d0cd21f5f8397fe62fb231ee53f649a22118b477d5f1","target":"record","created_at":"2026-07-05T12:03:24Z","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":"5043229d0c5e3d22c1762b080d54eb0d66762a90166063fa608e75411b4d3da5","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-04T19:00:00Z","title_canon_sha256":"897256b3b1cf7525ca3933dce09f66303b6e51cb63e57da74c28c21e6ebb80f2"},"schema_version":"1.0","source":{"id":"2503.02925","kind":"arxiv","version":2}},"canonical_sha256":"1edd76ec61ab32952c7a0b5500015d714883813273fe5c7898d41c0c28dd097a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1edd76ec61ab32952c7a0b5500015d714883813273fe5c7898d41c0c28dd097a","first_computed_at":"2026-07-05T12:03:24.889251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:03:24.889251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"trRzNUTm8X4a2GDrp9xoXuTTWuzyg7dZKG/blIhb5fdVRR/cNFIwn4PkIKkpaLpAWuxKbq5HwdMLPJXn9Bi6BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:03:24.889750Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.02925","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3e9b064bc6e2d2272d3d0cd21f5f8397fe62fb231ee53f649a22118b477d5f1","sha256:fe9f703807d01652bb7519511e43c764e02d29f880668f1915ab7c024636eed9"],"state_sha256":"1cd86807eea57e2a32ea6125bbd75332c132fe8bc566cdc4f8eb0f1e848b3202"}