{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QTWQBV5JGSNWHHJFKU4BNDN2MH","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":"8b7772a959a36da9881943def882c4a6c81d9a74d30acfbace7d21b8df3cc14c","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-01-14T02:05:45Z","title_canon_sha256":"495512f4078d79d8f46bd94e227577a05a474bee07767ad3fefad7b1f24c09cc"},"schema_version":"1.0","source":{"id":"2501.07787","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.07787","created_at":"2026-07-05T10:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"2501.07787v1","created_at":"2026-07-05T10:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.07787","created_at":"2026-07-05T10:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"QTWQBV5JGSNW","created_at":"2026-07-05T10:00:50Z"},{"alias_kind":"pith_short_16","alias_value":"QTWQBV5JGSNWHHJF","created_at":"2026-07-05T10:00:50Z"},{"alias_kind":"pith_short_8","alias_value":"QTWQBV5J","created_at":"2026-07-05T10:00:50Z"}],"graph_snapshots":[{"event_id":"sha256:0bd1e8805f5f891939b02886dabbb08138abde36418dd9dbc3e2f8ae1525a624","target":"graph","created_at":"2026-07-05T10:00:50Z","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/2501.07787/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The self-duality defects under discrete gauging in a categorical symmetry $\\mathcal{C}$ can be classified by inequivalent ways of enriching the bulk SymTFT of $\\mathcal{C}$ with $\\mathbb{Z}_2$ 0-form symmetry. The resulting Symmetry Enriched Topological (SET) orders will be referred to as $\\textit{SymSETs}$ and are parameterized by choices of $\\mathbb{Z}_2$ symmetries, as well as symmetry fractionalization classes and discrete torsions. In this work, we consider self-dualities under gauging $\\textit{non-invertible}$ $0$-form symmetries in $2$-dim QFTs and explore their SymSETs. Unlike the simp","authors_text":"Da-Chuan Lu, Zhengdi Sun, Zipei Zhang","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-01-14T02:05:45Z","title":"SymSETs and self-dualities under gauging non-invertible symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.07787","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":"sha256:843b5c525f1fc44faec47f10804f149dc3e850f95da7ecc2fb8ee1ce4ba91979","target":"record","created_at":"2026-07-05T10:00:50Z","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":"8b7772a959a36da9881943def882c4a6c81d9a74d30acfbace7d21b8df3cc14c","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-01-14T02:05:45Z","title_canon_sha256":"495512f4078d79d8f46bd94e227577a05a474bee07767ad3fefad7b1f24c09cc"},"schema_version":"1.0","source":{"id":"2501.07787","kind":"arxiv","version":1}},"canonical_sha256":"84ed00d7a9349b639d255538168dba61f385ecad64034b77471e6de79537d04a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ed00d7a9349b639d255538168dba61f385ecad64034b77471e6de79537d04a","first_computed_at":"2026-07-05T10:00:50.012302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:00:50.012302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6cJBCWemJuVQQpGsh/19sAsJckRkretztJbgtZ6PkpIVGo9AFs6Fjs5P4IhR0Tan46K7nAW4QLtHxEeYhcsUDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:00:50.012729Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.07787","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:843b5c525f1fc44faec47f10804f149dc3e850f95da7ecc2fb8ee1ce4ba91979","sha256:0bd1e8805f5f891939b02886dabbb08138abde36418dd9dbc3e2f8ae1525a624"],"state_sha256":"981c323b4b32e5925e77da809a25b29513d73c7011b427d2950bf1913f477fba"}