{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JLM5ZY3ENLVPJ4USASMSZZUL3Q","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":"eeaa7d77c230cd1707e945467f9a145978a6a12463bf5fa2ed5d2961c2b46fe9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-16T23:44:45Z","title_canon_sha256":"9c6935d46fbf10b4a5a6f708f2c056693adefc1fc4dc8cae191c7cb4df461edd"},"schema_version":"1.0","source":{"id":"1102.3456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3456","created_at":"2026-05-18T02:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3456v1","created_at":"2026-05-18T02:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3456","created_at":"2026-05-18T02:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"JLM5ZY3ENLVP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JLM5ZY3ENLVPJ4US","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JLM5ZY3E","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:f0e947437492f689e44e66db9a0df9aa758e73ee2f1fd8ba21c00939b4195c7b","target":"graph","created_at":"2026-05-18T02:03:10Z","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 question of the averaging of inhomogeneous spacetimes in cosmology is important for the correct interpretation of cosmological data. In this paper we suggest a conceptually simpler approach to averaging in cosmology based on the averaging of scalars within unimodular gravity. As an illustration, we consider the example of an exact spherically symmetric dust model, and show that within this approach averaging introduces correlations (corrections) to the effective dynamical evolution equation in the form of a spatial curvature term.","authors_text":"A. Coley, J. Brannlund, J. Latta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-16T23:44:45Z","title":"Unimodular Gravity and Averaging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3456","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":"sha256:116ef79a30cbb600d99f92c7e33edda979bdf221fa4592c35a6c063f156ec1ca","target":"record","created_at":"2026-05-18T02:03:10Z","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":"eeaa7d77c230cd1707e945467f9a145978a6a12463bf5fa2ed5d2961c2b46fe9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-16T23:44:45Z","title_canon_sha256":"9c6935d46fbf10b4a5a6f708f2c056693adefc1fc4dc8cae191c7cb4df461edd"},"schema_version":"1.0","source":{"id":"1102.3456","kind":"arxiv","version":1}},"canonical_sha256":"4ad9dce3646aeaf4f29204992ce68bdc3a20581f91d41a5da200e30b65b6d6d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad9dce3646aeaf4f29204992ce68bdc3a20581f91d41a5da200e30b65b6d6d7","first_computed_at":"2026-05-18T02:03:10.162248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:10.162248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m1K3lzf5N53U1Lr6klfQVcUO7BASlIfJDYMCGHXU7oNzi2V2e++RurLUnRC1vNDX6ILhdDs0OQuOZiDAMwx1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:10.162702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:116ef79a30cbb600d99f92c7e33edda979bdf221fa4592c35a6c063f156ec1ca","sha256:f0e947437492f689e44e66db9a0df9aa758e73ee2f1fd8ba21c00939b4195c7b"],"state_sha256":"7fd1a48aa16659a5fe6b9b14d1d64eb7cf80ac34a92d727462b7f7277cc30d59"}