{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:OPR2KVWDY75T3TJWZCH2L3KK7L","short_pith_number":"pith:OPR2KVWD","schema_version":"1.0","canonical_sha256":"73e3a556c3c7fb3dcd36c88fa5ed4afafb7d5838ba4b629dd7e0f4d6b3fbea9d","source":{"kind":"arxiv","id":"1103.2335","version":1},"attestation_state":"computed","paper":{"title":"Inhomogeneity effects in Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"George F R Ellis","submitted_at":"2011-03-11T18:34:51Z","abstract_excerpt":"This article looks at how inhomogeneous spacetime models may be significant for cosmology. First it looks at how the averaging process may affect large scale dynamics, with backreaction effects leading to effective contributions to the averaged energy-momentum tensor. Secondly it considers how local inhomogeneities may affect cosmological observations in cosmology, possibly significantly affecting the concordance model parameters. Thirdly it presents the possibility that the universe is spatially inhomogeneous on Hubble scales, with a violation of the Copernican principle leading to an apparen"},"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":"1103.2335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-03-11T18:34:51Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"be1e9b5f10dd643f353d6814c64191bca00d877846d9a4b3e0c85c45d0f9f1d7","abstract_canon_sha256":"1fbed14fd364b92f094e1262d071ae38168ac4a250037b68b23923ad1ae08bba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:54.483404Z","signature_b64":"0eJbnuvgOaYd6n8zIXFMl4AtvC7FQ30k6VCeOiCJlqcH6yJUXWqUs+/6Aus1F08HEOLXmCfKF+RAWfSfxOvKAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73e3a556c3c7fb3dcd36c88fa5ed4afafb7d5838ba4b629dd7e0f4d6b3fbea9d","last_reissued_at":"2026-05-18T02:02:54.482746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:54.482746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inhomogeneity effects in Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"George F R Ellis","submitted_at":"2011-03-11T18:34:51Z","abstract_excerpt":"This article looks at how inhomogeneous spacetime models may be significant for cosmology. First it looks at how the averaging process may affect large scale dynamics, with backreaction effects leading to effective contributions to the averaged energy-momentum tensor. Secondly it considers how local inhomogeneities may affect cosmological observations in cosmology, possibly significantly affecting the concordance model parameters. Thirdly it presents the possibility that the universe is spatially inhomogeneous on Hubble scales, with a violation of the Copernican principle leading to an apparen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2335","kind":"arxiv","version":1},"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":"1103.2335","created_at":"2026-05-18T02:02:54.482853+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.2335v1","created_at":"2026-05-18T02:02:54.482853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2335","created_at":"2026-05-18T02:02:54.482853+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPR2KVWDY75T","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPR2KVWDY75T3TJW","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPR2KVWD","created_at":"2026-05-18T12:26:37.096874+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2512.20553","citing_title":"Eckart heat-flux applicability in $F(\\Phi,X)R$ theories and the existence of temperature gradients","ref_index":54,"is_internal_anchor":true},{"citing_arxiv_id":"2602.15448","citing_title":"Cosmological Averaging in Nonminimally Coupled Gravity","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L","json":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L.json","graph_json":"https://pith.science/api/pith-number/OPR2KVWDY75T3TJWZCH2L3KK7L/graph.json","events_json":"https://pith.science/api/pith-number/OPR2KVWDY75T3TJWZCH2L3KK7L/events.json","paper":"https://pith.science/paper/OPR2KVWD"},"agent_actions":{"view_html":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L","download_json":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L.json","view_paper":"https://pith.science/paper/OPR2KVWD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.2335&json=true","fetch_graph":"https://pith.science/api/pith-number/OPR2KVWDY75T3TJWZCH2L3KK7L/graph.json","fetch_events":"https://pith.science/api/pith-number/OPR2KVWDY75T3TJWZCH2L3KK7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L/action/storage_attestation","attest_author":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L/action/author_attestation","sign_citation":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L/action/citation_signature","submit_replication":"https://pith.science/pith/OPR2KVWDY75T3TJWZCH2L3KK7L/action/replication_record"}},"created_at":"2026-05-18T02:02:54.482853+00:00","updated_at":"2026-05-18T02:02:54.482853+00:00"}