{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:D2EEDDIZ7DIETGGGXLJFKNFBXQ","short_pith_number":"pith:D2EEDDIZ","schema_version":"1.0","canonical_sha256":"1e88418d19f8d04998c6bad25534a1bc03963955bda238b7c1eb472d7562a208","source":{"kind":"arxiv","id":"1410.5609","version":2},"attestation_state":"computed","paper":{"title":"A quantum reduction to spherical symmetry in loop quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Jedrzej \\'Swie\\.zewski, Jerzy lewandowski, Norbert Bodendorfer","submitted_at":"2014-10-21T10:27:32Z","abstract_excerpt":"Based on a recent purely geometric construction of observables for the spatial diffeomorphism constraint, we propose two distinct quantum reductions to spherical symmetry within full 3+1-dimensional loop quantum gravity. The construction of observables corresponds to using the radial gauge for the spatial metric and allows to identify rotations around a central observer as unitary transformations in the quantum theory. Group averaging over these rotations yields our first proposal for spherical symmetry. Hamiltonians of the full theory with angle-independent lapse preserve this spherically sym"},"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":"1410.5609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-21T10:27:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"a56de1ff0aec74886471e14a95defef1577cbbf364ce9e8601ba7461f2886605","abstract_canon_sha256":"43c5323499e2747de9fa04e2ddde856267097ffd519dd694f59ba2921377b156"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:08.190345Z","signature_b64":"o167Ww6dnUXvvXuoQvR5UfB/LFp/+Hlh/IFMs9B7SFoZNX0JAjNochot1zKQAhguFSB5v/rKPpvqeBs8dSHKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e88418d19f8d04998c6bad25534a1bc03963955bda238b7c1eb472d7562a208","last_reissued_at":"2026-05-18T02:02:08.189687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:08.189687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quantum reduction to spherical symmetry in loop quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Jedrzej \\'Swie\\.zewski, Jerzy lewandowski, Norbert Bodendorfer","submitted_at":"2014-10-21T10:27:32Z","abstract_excerpt":"Based on a recent purely geometric construction of observables for the spatial diffeomorphism constraint, we propose two distinct quantum reductions to spherical symmetry within full 3+1-dimensional loop quantum gravity. The construction of observables corresponds to using the radial gauge for the spatial metric and allows to identify rotations around a central observer as unitary transformations in the quantum theory. Group averaging over these rotations yields our first proposal for spherical symmetry. Hamiltonians of the full theory with angle-independent lapse preserve this spherically sym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5609","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":""},"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":"1410.5609","created_at":"2026-05-18T02:02:08.189787+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.5609v2","created_at":"2026-05-18T02:02:08.189787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5609","created_at":"2026-05-18T02:02:08.189787+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2EEDDIZ7DIE","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2EEDDIZ7DIETGGG","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2EEDDIZ","created_at":"2026-05-18T12:28:25.294606+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/D2EEDDIZ7DIETGGGXLJFKNFBXQ","json":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ.json","graph_json":"https://pith.science/api/pith-number/D2EEDDIZ7DIETGGGXLJFKNFBXQ/graph.json","events_json":"https://pith.science/api/pith-number/D2EEDDIZ7DIETGGGXLJFKNFBXQ/events.json","paper":"https://pith.science/paper/D2EEDDIZ"},"agent_actions":{"view_html":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ","download_json":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ.json","view_paper":"https://pith.science/paper/D2EEDDIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.5609&json=true","fetch_graph":"https://pith.science/api/pith-number/D2EEDDIZ7DIETGGGXLJFKNFBXQ/graph.json","fetch_events":"https://pith.science/api/pith-number/D2EEDDIZ7DIETGGGXLJFKNFBXQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ/action/storage_attestation","attest_author":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ/action/author_attestation","sign_citation":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ/action/citation_signature","submit_replication":"https://pith.science/pith/D2EEDDIZ7DIETGGGXLJFKNFBXQ/action/replication_record"}},"created_at":"2026-05-18T02:02:08.189787+00:00","updated_at":"2026-05-18T02:02:08.189787+00:00"}