{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:D2EEDDIZ7DIETGGGXLJFKNFBXQ","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":"43c5323499e2747de9fa04e2ddde856267097ffd519dd694f59ba2921377b156","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-21T10:27:32Z","title_canon_sha256":"a56de1ff0aec74886471e14a95defef1577cbbf364ce9e8601ba7461f2886605"},"schema_version":"1.0","source":{"id":"1410.5609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5609","created_at":"2026-05-18T02:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5609v2","created_at":"2026-05-18T02:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5609","created_at":"2026-05-18T02:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"D2EEDDIZ7DIE","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"D2EEDDIZ7DIETGGG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"D2EEDDIZ","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:dfa0f4fb0ee423da0c525e40cfb17d9d4fdaf994f16405f2aa4a3ecc26352e4b","target":"graph","created_at":"2026-05-18T02:02:08Z","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":"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","authors_text":"Jedrzej \\'Swie\\.zewski, Jerzy lewandowski, Norbert Bodendorfer","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-21T10:27:32Z","title":"A quantum reduction to spherical symmetry in loop quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5609","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":"sha256:70025f1698059ca9bf70001e9917b8c89545291566763af9030c55f7fe3121ce","target":"record","created_at":"2026-05-18T02:02:08Z","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":"43c5323499e2747de9fa04e2ddde856267097ffd519dd694f59ba2921377b156","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-21T10:27:32Z","title_canon_sha256":"a56de1ff0aec74886471e14a95defef1577cbbf364ce9e8601ba7461f2886605"},"schema_version":"1.0","source":{"id":"1410.5609","kind":"arxiv","version":2}},"canonical_sha256":"1e88418d19f8d04998c6bad25534a1bc03963955bda238b7c1eb472d7562a208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e88418d19f8d04998c6bad25534a1bc03963955bda238b7c1eb472d7562a208","first_computed_at":"2026-05-18T02:02:08.189687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:08.189687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o167Ww6dnUXvvXuoQvR5UfB/LFp/+Hlh/IFMs9B7SFoZNX0JAjNochot1zKQAhguFSB5v/rKPpvqeBs8dSHKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:08.190345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70025f1698059ca9bf70001e9917b8c89545291566763af9030c55f7fe3121ce","sha256:dfa0f4fb0ee423da0c525e40cfb17d9d4fdaf994f16405f2aa4a3ecc26352e4b"],"state_sha256":"052435910f29784243441d3bd5f31b427256c2abc730500955978d276cec4410"}