{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4RPVRT2JGROOS4JZ6FMNCUDTX2","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":"213dc95c7b25e9c81b6c3d4ee88ec66e1041984f256231e0e29422e9f8de41f7","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-01T18:00:00Z","title_canon_sha256":"b96c71f0b98fac2251f0ed5e1457f6845914db2e2de2122cdb9a5d0f13a20135"},"schema_version":"1.0","source":{"id":"2111.01141","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.01141","created_at":"2026-07-05T04:15:11Z"},{"alias_kind":"arxiv_version","alias_value":"2111.01141v3","created_at":"2026-07-05T04:15:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.01141","created_at":"2026-07-05T04:15:11Z"},{"alias_kind":"pith_short_12","alias_value":"4RPVRT2JGROO","created_at":"2026-07-05T04:15:11Z"},{"alias_kind":"pith_short_16","alias_value":"4RPVRT2JGROOS4JZ","created_at":"2026-07-05T04:15:11Z"},{"alias_kind":"pith_short_8","alias_value":"4RPVRT2J","created_at":"2026-07-05T04:15:11Z"}],"graph_snapshots":[{"event_id":"sha256:9c8ca58230b790e9d1299b46aece9cd9649a75b9a9cfe441fc7f6ec8f28ed7cd","target":"graph","created_at":"2026-07-05T04:15:11Z","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/2111.01141/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a class of non-invertible topological defects in (3+1)d gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1+1)d critical Ising model. As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at $\\theta = \\pi$, $\\mathcal{N}=1$ SO(3) super YM, and $\\mathcal{N}=4$ SU(2) super YM at $\\tau = i$. We also introduce an analogous construction in","authors_text":"Justin Kaidi, Kantaro Ohmori, Yunqin Zheng","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-01T18:00:00Z","title":"Kramers-Wannier-like duality defects in (3+1)d gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.01141","kind":"arxiv","version":3},"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":"sha256:529b68c5f5ca46908b849461b2cd0e42e57875570e70535f960f68f82fe213bf","target":"record","created_at":"2026-07-05T04:15:11Z","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":"213dc95c7b25e9c81b6c3d4ee88ec66e1041984f256231e0e29422e9f8de41f7","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-01T18:00:00Z","title_canon_sha256":"b96c71f0b98fac2251f0ed5e1457f6845914db2e2de2122cdb9a5d0f13a20135"},"schema_version":"1.0","source":{"id":"2111.01141","kind":"arxiv","version":3}},"canonical_sha256":"e45f58cf49345ce97139f158d15073be954733d4a3ad709109efea17713f53e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e45f58cf49345ce97139f158d15073be954733d4a3ad709109efea17713f53e5","first_computed_at":"2026-07-05T04:15:11.472852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:15:11.472852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UWj+KF1+bBCfyUDkPNBFDynyznXNxNGQ+Y8j4Fcv88hraaF86EifYzp/3OayBL/HP6byHBJKx5VzFya22LvOCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:15:11.473278Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.01141","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:529b68c5f5ca46908b849461b2cd0e42e57875570e70535f960f68f82fe213bf","sha256:9c8ca58230b790e9d1299b46aece9cd9649a75b9a9cfe441fc7f6ec8f28ed7cd"],"state_sha256":"2603e53f7583ae3a5ab769de4d1f7122965d1b2fc29807f4904d312e9124897b"}