{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:UKYRHSXRMZ434LWN57PET7VZIS","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":"fa2a5e9f0b7577a5bbf993cb9c080df913d13e40ca2eb6dfa024f428c3cca7ab","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:17:41Z","title_canon_sha256":"3520da0345c511f178235757c8d205e2decbc78525e6d44330c82730e2139482"},"schema_version":"1.0","source":{"id":"hep-th/9907042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9907042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907042v1","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907042","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"UKYRHSXRMZ43","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UKYRHSXRMZ434LWN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UKYRHSXR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:ce31c67384e5a9b695c8bedf1940c1c9064966867eb1ca842fce2db46cfaec92","target":"graph","created_at":"2026-05-18T01:38:34Z","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":"Given a symmetry group acting on a principal fibre bundle, symmetric states of the quantum theory of a diffeomorphism invariant theory of connections on this fibre bundle are defined. These symmetric states, equipped with a scalar product derived from the Ashtekar-Lewandowski measure for loop quantum gravity, form a Hilbert space of their own. Restriction to this Hilbert space yields a quantum symmetry reduction procedure in the framework of spin network states the structure of which is analyzed in detail. Three illustrating examples are discussed: Reduction of 3+1 to 2+1 dimensional quantum g","authors_text":"Germany), H.A. Kastrup (RWTH Aachen, M. Bojowald","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:17:41Z","title":"Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of Connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907042","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:fdd266b318d2114fb7916b34cd185a5fc6a91c3a2797be661f1be9af1f8671db","target":"record","created_at":"2026-05-18T01:38:34Z","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":"fa2a5e9f0b7577a5bbf993cb9c080df913d13e40ca2eb6dfa024f428c3cca7ab","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:17:41Z","title_canon_sha256":"3520da0345c511f178235757c8d205e2decbc78525e6d44330c82730e2139482"},"schema_version":"1.0","source":{"id":"hep-th/9907042","kind":"arxiv","version":1}},"canonical_sha256":"a2b113caf16679be2ecdefde49feb94484f954cdddf3822581395861c7da2fa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2b113caf16679be2ecdefde49feb94484f954cdddf3822581395861c7da2fa4","first_computed_at":"2026-05-18T01:38:34.990179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:34.990179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3bblrJxY3g3b/3lLqF6uvizNbWRyn502dEngTeyPZ767Oz3JS5pf8vLfHqPu/DO52LGPMIsg7hjfVKLLoLkjDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:34.990662Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9907042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdd266b318d2114fb7916b34cd185a5fc6a91c3a2797be661f1be9af1f8671db","sha256:ce31c67384e5a9b695c8bedf1940c1c9064966867eb1ca842fce2db46cfaec92"],"state_sha256":"7e58d667d6dc746136239af84d4b133b44da7c964211d586c3d61ee979ae6fcc"}