{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GJ7RV5EYF225JP6MJIATIBQKCV","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":"8f6974ef6003493178d2025754fbcbbfe17da7e2097dc40b78080ed93d408f4c","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-17T19:48:18Z","title_canon_sha256":"f220a01a6a157184d20357bdf03409c8954e1eb8bb61b59e81ac31a0a489818c"},"schema_version":"1.0","source":{"id":"2503.13685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.13685","created_at":"2026-07-05T10:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"2503.13685v1","created_at":"2026-07-05T10:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.13685","created_at":"2026-07-05T10:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"GJ7RV5EYF225","created_at":"2026-07-05T10:33:16Z"},{"alias_kind":"pith_short_16","alias_value":"GJ7RV5EYF225JP6M","created_at":"2026-07-05T10:33:16Z"},{"alias_kind":"pith_short_8","alias_value":"GJ7RV5EY","created_at":"2026-07-05T10:33:16Z"}],"graph_snapshots":[{"event_id":"sha256:c5f1c1c03f6d4c24a235e41fe92b970396e575a122818a19dd6a2b6bc56975bf","target":"graph","created_at":"2026-07-05T10:33:16Z","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/2503.13685/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study topological holography for 2+1-D gapped and gapless phases with generalized symmetries using tools from higher linear algebra and higher condensation theory. We focus on bosonic fusion 2-category symmetries, where the Symmetry Topological Field Theory (SymTFT) are 3+1D Dijkgraaf-Witten theories.\n  (1). Gapped phases are obtained from the sandwich construction with gapped symmetry and physical boundaries. A gapped boundary of the 3+1D SymTFT is called minimal if it has no intrinsic 2+1-D topological order. We derive the general structure of a sandwich construction with minimal gapped s","authors_text":"Rui Wen","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-17T19:48:18Z","title":"Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.13685","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":"sha256:8dbd33943b4eb1dba68aaec892463f8db189231cc4aeff69800ccec8458220f9","target":"record","created_at":"2026-07-05T10:33:16Z","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":"8f6974ef6003493178d2025754fbcbbfe17da7e2097dc40b78080ed93d408f4c","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-17T19:48:18Z","title_canon_sha256":"f220a01a6a157184d20357bdf03409c8954e1eb8bb61b59e81ac31a0a489818c"},"schema_version":"1.0","source":{"id":"2503.13685","kind":"arxiv","version":1}},"canonical_sha256":"327f1af4982eb5d4bfcc4a0134060a15736adde0356035b1ef423f530dc79a0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"327f1af4982eb5d4bfcc4a0134060a15736adde0356035b1ef423f530dc79a0c","first_computed_at":"2026-07-05T10:33:16.055733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:33:16.055733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gMu2lREgAO8T3mtQFkqzxbJJqJwq5UJPguwM62OEyEZ6VxCfq/t8h9mzSbP8t0R1jlrthxSF/FHJkWVXjl1oBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:33:16.056257Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.13685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dbd33943b4eb1dba68aaec892463f8db189231cc4aeff69800ccec8458220f9","sha256:c5f1c1c03f6d4c24a235e41fe92b970396e575a122818a19dd6a2b6bc56975bf"],"state_sha256":"9f4f3412c969929345f6f236f4fea1094ddab1ca580673c59a062a35c0fcc1c6"}