{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QXRK5W5JSUYHY45I3HEJJJO3ZE","short_pith_number":"pith:QXRK5W5J","schema_version":"1.0","canonical_sha256":"85e2aedba995307c73a8d9c894a5dbc930392d91cc81322bfa6748a36fae7846","source":{"kind":"arxiv","id":"1210.3960","version":1},"attestation_state":"computed","paper":{"title":"Constraint algebra in LQG reloaded : Toy model of an Abelian gauge theory - II Spatial Diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Adam Henderson, Alok Laddha, Casey Tomlin","submitted_at":"2012-10-15T09:47:18Z","abstract_excerpt":"In [1] we initiated an approach towards quantizing the Hamiltonian constraint in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free representation of constraint algebra off-shell. We investigated this issue in the case of a toy model of a 2+1-dimensional $U(1)^{3}$ gauge theory, which can be thought of as a weak coupling limit of Euclidean three dimensional gravity. However in [1] we only focused on the most non-trivial part of the constraint algebra that involves commutator of two Hamiltonian constraints. In this paper we continue with our analysis and obtain a represen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1210.3960","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T09:47:18Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0818eb289240c0f9a94f81698eeeb04074eb6e6aa63e9f451600317052226bee","abstract_canon_sha256":"754b4f1b24a934e6f82ea92a03ff6832884a6ed417391b6d45ac11dc6d2050c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:52.260096Z","signature_b64":"OSQhcevtgKDWDncyMXx4eotjvCLEsfzZMEWt26ZMsFmSEnTsteK1YdogxShtn6jzM5q9DOZd+LfreAl6q6zKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85e2aedba995307c73a8d9c894a5dbc930392d91cc81322bfa6748a36fae7846","last_reissued_at":"2026-05-18T02:37:52.259412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:52.259412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraint algebra in LQG reloaded : Toy model of an Abelian gauge theory - II Spatial Diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Adam Henderson, Alok Laddha, Casey Tomlin","submitted_at":"2012-10-15T09:47:18Z","abstract_excerpt":"In [1] we initiated an approach towards quantizing the Hamiltonian constraint in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free representation of constraint algebra off-shell. We investigated this issue in the case of a toy model of a 2+1-dimensional $U(1)^{3}$ gauge theory, which can be thought of as a weak coupling limit of Euclidean three dimensional gravity. However in [1] we only focused on the most non-trivial part of the constraint algebra that involves commutator of two Hamiltonian constraints. In this paper we continue with our analysis and obtain a represen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3960","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1210.3960","created_at":"2026-05-18T02:37:52.259549+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3960v1","created_at":"2026-05-18T02:37:52.259549+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3960","created_at":"2026-05-18T02:37:52.259549+00:00"},{"alias_kind":"pith_short_12","alias_value":"QXRK5W5JSUYH","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"QXRK5W5JSUYHY45I","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"QXRK5W5J","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE","json":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE.json","graph_json":"https://pith.science/api/pith-number/QXRK5W5JSUYHY45I3HEJJJO3ZE/graph.json","events_json":"https://pith.science/api/pith-number/QXRK5W5JSUYHY45I3HEJJJO3ZE/events.json","paper":"https://pith.science/paper/QXRK5W5J"},"agent_actions":{"view_html":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE","download_json":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE.json","view_paper":"https://pith.science/paper/QXRK5W5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3960&json=true","fetch_graph":"https://pith.science/api/pith-number/QXRK5W5JSUYHY45I3HEJJJO3ZE/graph.json","fetch_events":"https://pith.science/api/pith-number/QXRK5W5JSUYHY45I3HEJJJO3ZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE/action/storage_attestation","attest_author":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE/action/author_attestation","sign_citation":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE/action/citation_signature","submit_replication":"https://pith.science/pith/QXRK5W5JSUYHY45I3HEJJJO3ZE/action/replication_record"}},"created_at":"2026-05-18T02:37:52.259549+00:00","updated_at":"2026-05-18T02:37:52.259549+00:00"}