{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HIC6BHXFCDAXKAY7REAOOXMVQO","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":"ffe1488fc140d04810d506754e903fb47a8b9772846d22017d3cb183aad37a3d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-27T23:17:46Z","title_canon_sha256":"09d9fa659e184f141dd2963e58f60de9fd31feea82d7a857b232043d3944e1c2"},"schema_version":"1.0","source":{"id":"1102.5560","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5560","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5560v3","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5560","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"HIC6BHXFCDAX","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HIC6BHXFCDAXKAY7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HIC6BHXF","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:06500bba3d77dd91dd2b3c31164d08d9c1ec8b65f7de45e8ee83d0404fc5d48a","target":"graph","created_at":"2026-05-18T03:48:34Z","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":"The configuration space of the reduced Hamiltonian formulation of quantum gravity has been shown, for non-Ricci flat metrics, to be a higher-dimensional analogue of the Teichm\\\"{u}ller space of conformal structures on a Riemann surface. In this article we show that the configuration space of conformal connection-dynamics is naturally a higher-dimensional Teichm\\\"{u}ller space, subject to the same condition. An immediate consequence of this result is that the Barbero-Immirzi parameter of loop quantum gravity naturally assumes a dilatonic character in all conformal canonical gravity theories.","authors_text":"Charles H.-T. Wang, James A. Reid","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-27T23:17:46Z","title":"The Configuration Space of Conformal Connection-Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5560","kind":"arxiv","version":3},"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":"sha256:0699d65271bba563e199099ecb9a9658656d552989b07bb3021b542534160bcd","target":"record","created_at":"2026-05-18T03:48:34Z","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":"ffe1488fc140d04810d506754e903fb47a8b9772846d22017d3cb183aad37a3d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-27T23:17:46Z","title_canon_sha256":"09d9fa659e184f141dd2963e58f60de9fd31feea82d7a857b232043d3944e1c2"},"schema_version":"1.0","source":{"id":"1102.5560","kind":"arxiv","version":3}},"canonical_sha256":"3a05e09ee510c175031f8900e75d95839145ff4273bbebab77b624358b33f3fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a05e09ee510c175031f8900e75d95839145ff4273bbebab77b624358b33f3fb","first_computed_at":"2026-05-18T03:48:34.338135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:34.338135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EZF266SeEqMkOy8uvMBwnKXljHskTQG6glNJYXJiA/rd9btAXVKfGfa3+dkXrvjwaY9D8bbrJd3EG6etKB1jBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:34.338844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5560","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0699d65271bba563e199099ecb9a9658656d552989b07bb3021b542534160bcd","sha256:06500bba3d77dd91dd2b3c31164d08d9c1ec8b65f7de45e8ee83d0404fc5d48a"],"state_sha256":"9ae779d3a3ac81c32b14d06602d70a60850a21b4759cf39cf3e65e927f6313dc"}