{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U46FPZ6BQYDW5TTW4IQNIXJPDT","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":"a8f86b01e33ef2bd5c2b1638754bbb0d9704cc335ae75ce6e90168fe1f8579b3","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-04T21:31:34Z","title_canon_sha256":"f31a65516bec5f7b3dadc482b0100fb25a761c205757ff88e1517caeaea1070f"},"schema_version":"1.0","source":{"id":"2306.02485","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.02485","created_at":"2026-07-05T06:37:33Z"},{"alias_kind":"arxiv_version","alias_value":"2306.02485v2","created_at":"2026-07-05T06:37:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.02485","created_at":"2026-07-05T06:37:33Z"},{"alias_kind":"pith_short_12","alias_value":"U46FPZ6BQYDW","created_at":"2026-07-05T06:37:33Z"},{"alias_kind":"pith_short_16","alias_value":"U46FPZ6BQYDW5TTW","created_at":"2026-07-05T06:37:33Z"},{"alias_kind":"pith_short_8","alias_value":"U46FPZ6B","created_at":"2026-07-05T06:37:33Z"}],"graph_snapshots":[{"event_id":"sha256:6c4e33ff238d5da889406a62db48d2a9367d7c0f91ce8fafa5ae30de432f2b42","target":"graph","created_at":"2026-07-05T06:37:33Z","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/2306.02485/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To study gapped phases of $4$d gauge theories, we introduce the temporal gauging of $\\mathbb{Z}_N$ $1$-form symmetry in $4$d quantum field theories (QFTs), thereby defining effective $3$d QFTs with $\\widetilde{\\mathbb{Z}}_N\\times \\mathbb{Z}_N$ $1$-form symmetry. In this way, spatial fundamental Wilson and 't Hooft loops are simultaneously genuine line operators. Assuming a mass gap and Lorentz invariant vacuum of the $4$d QFT, the $\\widetilde{\\mathbb{Z}}_N\\times \\mathbb{Z}_N$ symmetry must be spontaneously broken to an order-$N$ subgroup $H$, and we can classify the $4$d gapped phases by speci","authors_text":"Mendel Nguyen, Mithat \\\"Unsal, Yuya Tanizaki","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-04T21:31:34Z","title":"Study of gapped phases of 4d gauge theories using temporal gauging of the $\\mathbb{Z}_N$ 1-form symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.02485","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":"sha256:570331497f0850ba0c7aec648f326abbd87b0d685cf05e9afb8adae0f2848e37","target":"record","created_at":"2026-07-05T06:37:33Z","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":"a8f86b01e33ef2bd5c2b1638754bbb0d9704cc335ae75ce6e90168fe1f8579b3","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-04T21:31:34Z","title_canon_sha256":"f31a65516bec5f7b3dadc482b0100fb25a761c205757ff88e1517caeaea1070f"},"schema_version":"1.0","source":{"id":"2306.02485","kind":"arxiv","version":2}},"canonical_sha256":"a73c57e7c186076ece76e220d45d2f1ccd6262d9126325215ab11123ed3cf9a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a73c57e7c186076ece76e220d45d2f1ccd6262d9126325215ab11123ed3cf9a6","first_computed_at":"2026-07-05T06:37:33.354634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:33.354634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TgoDE6yLMgi3juAIJYLYx0c6SAyRqPiEe1sY2Z7k6heRom8xhkit/2Q8YhUn64hPs9lewAHxA+JkvO7h0pUtBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:33.355109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.02485","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:570331497f0850ba0c7aec648f326abbd87b0d685cf05e9afb8adae0f2848e37","sha256:6c4e33ff238d5da889406a62db48d2a9367d7c0f91ce8fafa5ae30de432f2b42"],"state_sha256":"46ad5773c0a609656ea88116bffcbd24b727bc8a41862969e773f22e0941817b"}