{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:RKXQULG4FMVYNMNHHTJF2LR5HW","short_pith_number":"pith:RKXQULG4","canonical_record":{"source":{"id":"2101.10646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-26T09:17:33Z","cross_cats_sorted":[],"title_canon_sha256":"01807cbfd36dc12873e4166ab97014dcada16491d6087a09318b6579a2d18e41","abstract_canon_sha256":"6de5eee684853a08fec104ce02c2747ecec8332981157ac0fa4eef8852bc33f4"},"schema_version":"1.0"},"canonical_sha256":"8aaf0a2cdc2b2b86b1a73cd25d2e3d3da4c5337b13f2f2f6de40ceec07afd53b","source":{"kind":"arxiv","id":"2101.10646","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:RKXQULG4FMVYNMNHHTJF2LR5HW","target":"record","payload":{"canonical_record":{"source":{"id":"2101.10646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-01-26T09:17:33Z","cross_cats_sorted":[],"title_canon_sha256":"01807cbfd36dc12873e4166ab97014dcada16491d6087a09318b6579a2d18e41","abstract_canon_sha256":"6de5eee684853a08fec104ce02c2747ecec8332981157ac0fa4eef8852bc33f4"},"schema_version":"1.0"},"canonical_sha256":"8aaf0a2cdc2b2b86b1a73cd25d2e3d3da4c5337b13f2f2f6de40ceec07afd53b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:53:33.715819Z","signature_b64":"XvyThe9kiSS8o72QDKmln7h5CY+mJuiU32lxmkmXE9CChd4ZN1HJANVcQU24jkhvMBmT7viXm0jcVqDAke5kAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8aaf0a2cdc2b2b86b1a73cd25d2e3d3da4c5337b13f2f2f6de40ceec07afd53b","last_reissued_at":"2026-07-05T02:53:33.715380Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:53:33.715380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.10646","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:53:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x5ORUJkR0zqie/MYr7lTI6jieBCxpMZZVTpLu7K2YJP2dzwm2vS567qfZRAGUXV7dZyNWNQFxKBUASuXvczxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:09:07.890982Z"},"content_sha256":"4db8d419f316852037ed5cce8b5627cd1ac47c186bcea7807a83174926081889","schema_version":"1.0","event_id":"sha256:4db8d419f316852037ed5cce8b5627cd1ac47c186bcea7807a83174926081889"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:RKXQULG4FMVYNMNHHTJF2LR5HW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Roberto Zucchini","submitted_at":"2021-01-26T09:17:33Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10646","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.10646/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:53:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cp9zahHjYHkcTUe63umH+IWxGyw6V6gwbXXGsLiFXT7o57xbIP2loXBArK61rao9KKQK3ZRObjPM3C1hFKuNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:09:07.891889Z"},"content_sha256":"d2a0206633ac61eed3c83ee03c99596f70243af57fbc44725fdc4460508aadda","schema_version":"1.0","event_id":"sha256:d2a0206633ac61eed3c83ee03c99596f70243af57fbc44725fdc4460508aadda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/bundle.json","state_url":"https://pith.science/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T03:09:07Z","links":{"resolver":"https://pith.science/pith/RKXQULG4FMVYNMNHHTJF2LR5HW","bundle":"https://pith.science/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/bundle.json","state":"https://pith.science/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKXQULG4FMVYNMNHHTJF2LR5HW/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SDXNbS0WH/dJMsJa7oL/mlMdVqUdRqX75aZJ/CNlgZtgv3Iy4n9jX0KlEi/NLMYs5h50cbZji+ZoHow6R4ZLCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T03:09:07.898575Z","bundle_sha256":"95107e4aa57c9992766093594657fdadde218d7233f65afa82e6806c9f78ae0f"}}