{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CL5HPSGJP65M4UATLR5MMJYNDY","short_pith_number":"pith:CL5HPSGJ","canonical_record":{"source":{"id":"2406.07101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-11T09:42:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e4ba878956194aa41d26f98f5ed84704d24156f13d4aea4227dea2bcdd5fc3b6","abstract_canon_sha256":"4933b92a4a8cbae3755d1df5fbe8fd1d60b148048b1216d172de766c06ac5d4c"},"schema_version":"1.0"},"canonical_sha256":"12fa77c8c97fbace50135c7ac6270d1e30221153ab00e6b5c968aa83ebc95a3d","source":{"kind":"arxiv","id":"2406.07101","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.07101","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"2406.07101v2","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.07101","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"CL5HPSGJP65M","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_16","alias_value":"CL5HPSGJP65M4UAT","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_8","alias_value":"CL5HPSGJ","created_at":"2026-07-05T11:38:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CL5HPSGJP65M4UATLR5MMJYNDY","target":"record","payload":{"canonical_record":{"source":{"id":"2406.07101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-11T09:42:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e4ba878956194aa41d26f98f5ed84704d24156f13d4aea4227dea2bcdd5fc3b6","abstract_canon_sha256":"4933b92a4a8cbae3755d1df5fbe8fd1d60b148048b1216d172de766c06ac5d4c"},"schema_version":"1.0"},"canonical_sha256":"12fa77c8c97fbace50135c7ac6270d1e30221153ab00e6b5c968aa83ebc95a3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:00.399268Z","signature_b64":"a93+0IuD2Ln7dxrDXERX7lFKzhjoPKKq5xMLV0jt0/fT5R4UtLFitOyoqZzqTRxW86iMSCTVVFrab3EZ/rklAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12fa77c8c97fbace50135c7ac6270d1e30221153ab00e6b5c968aa83ebc95a3d","last_reissued_at":"2026-07-05T11:38:00.398717Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:00.398717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.07101","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:38:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rm1oP3HkJlO2N83zDPGSAJqIGAhc+5/mye2MYa/Uild4udOOkXB35f6Ehvn0+Q8vSSz9FisP6pSiVJJWvH8sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T19:22:19.692558Z"},"content_sha256":"ac21317587b553fd9df092c2093267f88653ff1bb385987ab780a6f00663a467","schema_version":"1.0","event_id":"sha256:ac21317587b553fd9df092c2093267f88653ff1bb385987ab780a6f00663a467"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CL5HPSGJP65M4UATLR5MMJYNDY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Corner Symmetry: Representations and Gluing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jerzy Kowalski-Glikman, Luca Ciambelli, Ludovic Varrin","submitted_at":"2024-06-11T09:42:14Z","abstract_excerpt":"The corner symmetry algebra organises the physical charges induced by gravity on codimension-$2$ corners of a manifold. In this letter, we initiate a study of the quantum properties of this group using as a toy model the corner symmetry group of two-dimensional gravity $\\mathrm{SL}\\left(2,\\mathbb{R}\\right)\\ltimes \\mathbb{R}^2$. We first describe the central extensions and how the quantum corner symmetry group arises and give the Casimirs. We then make use of one particular representation to discuss the gluing of corners, achieved by identifying the maximal commuting sub-algebra. This is a conc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.07101","kind":"arxiv","version":2},"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/2406.07101/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":"2026-07-05T11:38:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZucPo7cHTUyzQF4QGBMG1npFFkd5yg+u+BGL2spQ8JbyIa7N+iCEXhEXtVGT8+5pswbKI5yx0tY5wkqQlcPhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T19:22:19.693110Z"},"content_sha256":"1563e596be9b8b0b946617f7d2cb2e2e1d5ead4ca6a02308be9ebf6aa3b01002","schema_version":"1.0","event_id":"sha256:1563e596be9b8b0b946617f7d2cb2e2e1d5ead4ca6a02308be9ebf6aa3b01002"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CL5HPSGJP65M4UATLR5MMJYNDY/bundle.json","state_url":"https://pith.science/pith/CL5HPSGJP65M4UATLR5MMJYNDY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CL5HPSGJP65M4UATLR5MMJYNDY/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":"2026-08-22T19:22:19Z","links":{"resolver":"https://pith.science/pith/CL5HPSGJP65M4UATLR5MMJYNDY","bundle":"https://pith.science/pith/CL5HPSGJP65M4UATLR5MMJYNDY/bundle.json","state":"https://pith.science/pith/CL5HPSGJP65M4UATLR5MMJYNDY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CL5HPSGJP65M4UATLR5MMJYNDY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CL5HPSGJP65M4UATLR5MMJYNDY","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":"4933b92a4a8cbae3755d1df5fbe8fd1d60b148048b1216d172de766c06ac5d4c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-11T09:42:14Z","title_canon_sha256":"e4ba878956194aa41d26f98f5ed84704d24156f13d4aea4227dea2bcdd5fc3b6"},"schema_version":"1.0","source":{"id":"2406.07101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.07101","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"2406.07101v2","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.07101","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"CL5HPSGJP65M","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_16","alias_value":"CL5HPSGJP65M4UAT","created_at":"2026-07-05T11:38:00Z"},{"alias_kind":"pith_short_8","alias_value":"CL5HPSGJ","created_at":"2026-07-05T11:38:00Z"}],"graph_snapshots":[{"event_id":"sha256:1563e596be9b8b0b946617f7d2cb2e2e1d5ead4ca6a02308be9ebf6aa3b01002","target":"graph","created_at":"2026-07-05T11:38:00Z","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/2406.07101/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The corner symmetry algebra organises the physical charges induced by gravity on codimension-$2$ corners of a manifold. In this letter, we initiate a study of the quantum properties of this group using as a toy model the corner symmetry group of two-dimensional gravity $\\mathrm{SL}\\left(2,\\mathbb{R}\\right)\\ltimes \\mathbb{R}^2$. We first describe the central extensions and how the quantum corner symmetry group arises and give the Casimirs. We then make use of one particular representation to discuss the gluing of corners, achieved by identifying the maximal commuting sub-algebra. This is a conc","authors_text":"Jerzy Kowalski-Glikman, Luca Ciambelli, Ludovic Varrin","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-11T09:42:14Z","title":"Quantum Corner Symmetry: Representations and Gluing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.07101","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:ac21317587b553fd9df092c2093267f88653ff1bb385987ab780a6f00663a467","target":"record","created_at":"2026-07-05T11:38:00Z","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":"4933b92a4a8cbae3755d1df5fbe8fd1d60b148048b1216d172de766c06ac5d4c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-11T09:42:14Z","title_canon_sha256":"e4ba878956194aa41d26f98f5ed84704d24156f13d4aea4227dea2bcdd5fc3b6"},"schema_version":"1.0","source":{"id":"2406.07101","kind":"arxiv","version":2}},"canonical_sha256":"12fa77c8c97fbace50135c7ac6270d1e30221153ab00e6b5c968aa83ebc95a3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12fa77c8c97fbace50135c7ac6270d1e30221153ab00e6b5c968aa83ebc95a3d","first_computed_at":"2026-07-05T11:38:00.398717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:00.398717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a93+0IuD2Ln7dxrDXERX7lFKzhjoPKKq5xMLV0jt0/fT5R4UtLFitOyoqZzqTRxW86iMSCTVVFrab3EZ/rklAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:00.399268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.07101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac21317587b553fd9df092c2093267f88653ff1bb385987ab780a6f00663a467","sha256:1563e596be9b8b0b946617f7d2cb2e2e1d5ead4ca6a02308be9ebf6aa3b01002"],"state_sha256":"78e172ff3a07a3a6a901f9ac0f02ce2d7225874bbf3be67b9e9a58a1217c5db5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AU5DuHRPPk115NM06YVNd0f2i47OXdfDgbeADlo4wKX4qi4sn/Qq5XSnGAAE1SAE3AOdDnmubBHH6bH4IQV4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T19:22:19.697977Z","bundle_sha256":"3ebf9b0f22d04a66d6683043e952d119a89a6ca9e2eb08dc4c4f04f4db836c04"}}