{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:J5HJ7AZVR4PFWUUDX3UDGHCDP7","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":"e2750e8d3f67b6f77b1aab9290282f0ea7ff9e1b432ed197015d32dad2318cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T13:14:02Z","title_canon_sha256":"0bfd29a5f7821456648e385cad301ccc6ae527491039f6fe657de0e0f08de429"},"schema_version":"1.0","source":{"id":"1001.3292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3292","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3292v2","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3292","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"J5HJ7AZVR4PF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"J5HJ7AZVR4PFWUUD","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"J5HJ7AZV","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:d089b1c7939d7b6ec086a1750227a63cb34cba72240d1891679bd713543721eb","target":"graph","created_at":"2026-05-18T02:33:49Z","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":"We use the mathematical framework of loop quantum gravity (LQG) to study the quantization of three dimensional (Riemannian) gravity with positive cosmological constant (Lambda>0). We show that the usual regularization techniques (successful in the Lambda=0 case and widely applied in four dimensional LQG) lead to a deformation of the classical constraint algebra (or anomaly) proportional to the local strength of the curvature squared. We argue that this is an unavoidable consequence of the non-local nature of generalized connections.","authors_text":"Alejandro Perez, Daniele Pranzetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T13:14:02Z","title":"On the regularization of the constraints algebra of Quantum Gravity in 2+1 dimensions with non-vanishing cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3292","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":"sha256:3a88dcd9f86fdc0e628fdb39cc39897f55dc33523a3f7e4adf0fd00ab41ea2c6","target":"record","created_at":"2026-05-18T02:33:49Z","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":"e2750e8d3f67b6f77b1aab9290282f0ea7ff9e1b432ed197015d32dad2318cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T13:14:02Z","title_canon_sha256":"0bfd29a5f7821456648e385cad301ccc6ae527491039f6fe657de0e0f08de429"},"schema_version":"1.0","source":{"id":"1001.3292","kind":"arxiv","version":2}},"canonical_sha256":"4f4e9f83358f1e5b5283bee8331c437fd1d9c1350f2da967b6770eedcc483437","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f4e9f83358f1e5b5283bee8331c437fd1d9c1350f2da967b6770eedcc483437","first_computed_at":"2026-05-18T02:33:49.492922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:49.492922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5B16BPMzrN147vOubyOQywKxB+QeUWOqIG59RdPZLOD1CrEtya8sx94Ml53zWNCEfax7nX8VIzTLmYIFL/FzAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:49.493515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a88dcd9f86fdc0e628fdb39cc39897f55dc33523a3f7e4adf0fd00ab41ea2c6","sha256:d089b1c7939d7b6ec086a1750227a63cb34cba72240d1891679bd713543721eb"],"state_sha256":"8da91a85316b61c3c15cc3eb0279762be7805ae06340b7206a12f058d3042b21"}