{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RKXQULG4FMVYNMNHHTJF2LR5HW","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":"6de5eee684853a08fec104ce02c2747ecec8332981157ac0fa4eef8852bc33f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-26T09:17:33Z","title_canon_sha256":"01807cbfd36dc12873e4166ab97014dcada16491d6087a09318b6579a2d18e41"},"schema_version":"1.0","source":{"id":"2101.10646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10646","created_at":"2026-07-05T02:53:33Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10646v1","created_at":"2026-07-05T02:53:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10646","created_at":"2026-07-05T02:53:33Z"},{"alias_kind":"pith_short_12","alias_value":"RKXQULG4FMVY","created_at":"2026-07-05T02:53:33Z"},{"alias_kind":"pith_short_16","alias_value":"RKXQULG4FMVYNMNH","created_at":"2026-07-05T02:53:33Z"},{"alias_kind":"pith_short_8","alias_value":"RKXQULG4","created_at":"2026-07-05T02:53:33Z"}],"graph_snapshots":[{"event_id":"sha256:d2a0206633ac61eed3c83ee03c99596f70243af57fbc44725fdc4460508aadda","target":"graph","created_at":"2026-07-05T02:53:33Z","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/2101.10646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model can be formulated in a way that in many respects closely parallels that of the familiar 3d CS one. In spite of these formal resemblance, the gauge invariance properties of the 4d CS model differ considerably. The 4d CS action is fully gauge invariant if the underlying base 4fold has no boundary. When it does, the action is gauge variant, the gauge variation being a boundary term. If certain boundary conditions are im","authors_text":"Roberto Zucchini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-26T09:17:33Z","title":"4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10646","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":"sha256:4db8d419f316852037ed5cce8b5627cd1ac47c186bcea7807a83174926081889","target":"record","created_at":"2026-07-05T02:53:33Z","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":"6de5eee684853a08fec104ce02c2747ecec8332981157ac0fa4eef8852bc33f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-26T09:17:33Z","title_canon_sha256":"01807cbfd36dc12873e4166ab97014dcada16491d6087a09318b6579a2d18e41"},"schema_version":"1.0","source":{"id":"2101.10646","kind":"arxiv","version":1}},"canonical_sha256":"8aaf0a2cdc2b2b86b1a73cd25d2e3d3da4c5337b13f2f2f6de40ceec07afd53b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8aaf0a2cdc2b2b86b1a73cd25d2e3d3da4c5337b13f2f2f6de40ceec07afd53b","first_computed_at":"2026-07-05T02:53:33.715380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:53:33.715380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XvyThe9kiSS8o72QDKmln7h5CY+mJuiU32lxmkmXE9CChd4ZN1HJANVcQU24jkhvMBmT7viXm0jcVqDAke5kAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:53:33.715819Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.10646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4db8d419f316852037ed5cce8b5627cd1ac47c186bcea7807a83174926081889","sha256:d2a0206633ac61eed3c83ee03c99596f70243af57fbc44725fdc4460508aadda"],"state_sha256":"6008962920a90fd8591d3c371d5ea76c25de0f1d6849ae8b9149e4759ad263e9"}