{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:J26EA7HRJWJFECVWTPU3WKG2LK","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":"3cc1ce013b252583e10a564ae5730ac90c1496860f080672384b4528bffe0c6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-11-26T23:05:27Z","title_canon_sha256":"ec92d60c1f71d3e6c242f5f7249f717af6e1d13ad359b10174577b3c23701de7"},"schema_version":"1.0","source":{"id":"1311.6841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6841","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6841v1","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6841","created_at":"2026-05-18T02:32:22Z"},{"alias_kind":"pith_short_12","alias_value":"J26EA7HRJWJF","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J26EA7HRJWJFECVW","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J26EA7HR","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:0603fed41c236a326326d9b71027ade06496d00f5b1d60e5ead0fea42e5805d3","target":"graph","created_at":"2026-05-18T02:32:22Z","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"},"paper":{"abstract_excerpt":"An open issue in loop quantum gravity (LQG) is the introduction of a non-vanishing cosmological constant $\\Lambda$. In 3d, Chern-Simons theory provides some guiding lines: $\\Lambda$ appears in the quantum deformation of the gauge group. The Turaev-Viro model, which is an example of spin foam model is also defined in terms of a quantum group. By extension, it is believed that in 4d, a quantum group structure could encode the presence of $\\Lambda\\neq0$. In this article, we introduce by hand the quantum group $\\mathcal{U}_{q}(\\mathfrak{su}(2))$ into the LQG framework, that is we deal with $\\mathc","authors_text":"Florian Girelli, Ma\\\"it\\'e Dupuis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-11-26T23:05:27Z","title":"Observables in Loop Quantum Gravity with a cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6841","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:a793f82094301175ca4993458d96cb8f3b97dcefbe9f8cf5b9b1da32cc2e5186","target":"record","created_at":"2026-05-18T02:32:22Z","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":"3cc1ce013b252583e10a564ae5730ac90c1496860f080672384b4528bffe0c6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-11-26T23:05:27Z","title_canon_sha256":"ec92d60c1f71d3e6c242f5f7249f717af6e1d13ad359b10174577b3c23701de7"},"schema_version":"1.0","source":{"id":"1311.6841","kind":"arxiv","version":1}},"canonical_sha256":"4ebc407cf14d92520ab69be9bb28da5a90563d6d3577c8c9608359d2ee5d2bc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ebc407cf14d92520ab69be9bb28da5a90563d6d3577c8c9608359d2ee5d2bc7","first_computed_at":"2026-05-18T02:32:22.476909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:22.476909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"02jA4/J3g9dCe8YectrwigMX9/H3T+opHM3MABY5gKS9ChITdTThqPXA0Ye3kOm8jUxUMlO9vPGsm6v/fFHaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:22.477272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a793f82094301175ca4993458d96cb8f3b97dcefbe9f8cf5b9b1da32cc2e5186","sha256:0603fed41c236a326326d9b71027ade06496d00f5b1d60e5ead0fea42e5805d3"],"state_sha256":"32b1389619b6e6890c51e6b1fd0c0b7ae06617a15779abc4cff2035ce3d53d12"}