{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QIQPDRHEAOBWVLEI3SHU7HTGFU","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":"b177546e95705f8588e7c87789079e12a137937c41e910246a0afd0e318a281a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-26T16:30:31Z","title_canon_sha256":"f7b2369a4edea45d0da36597223839f63613c688400e9ffa21f7a4ba5a8ee273"},"schema_version":"1.0","source":{"id":"1201.5571","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5571","created_at":"2026-05-18T04:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5571v2","created_at":"2026-05-18T04:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5571","created_at":"2026-05-18T04:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"QIQPDRHEAOBW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QIQPDRHEAOBWVLEI","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QIQPDRHE","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:78b40bdc44e07b785c388468ff747584221daa5d72b8833ee6fc05a730e704f5","target":"graph","created_at":"2026-05-18T04:01:01Z","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":"This paper studies the connection between the relativistic number density of galaxies down the past light cone in a Friedmann-Lemaitre-Robertson-Walker spacetime with non-vanishing cosmological constant and the galaxy luminosity function (LF) data. It extends the redshift range of previous results presented in Albani et al. (2007:astro-ph/0611032) where the galaxy distribution was studied out to z=1. Observational inhomogeneities were detected at this range. This research also searches for LF evolution in the context of the framework advanced by Ribeiro and Stoeger (2003:astro-ph/0304094), fur","authors_text":"(2) Physics Institute, (3) Vatican Observatory Group, Alvaro S. Iribarrem (1), Amanda R. Lopes (1), Brazil, Federal University of Rio de Janeiro - UFRJ, Marcelo B. Ribeiro (2), Steward Observatory, Tucson, University of Arizona, USA), William R. Stoeger (3) ((1) Valongo Observatory","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-26T16:30:31Z","title":"Relativistic Cosmology Number Densities and the Luminosity Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5571","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":"sha256:5b645aaa217f55cb26132e7ffec4ea629e301bf42c3b52843bce2ab11d402bb1","target":"record","created_at":"2026-05-18T04:01:01Z","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":"b177546e95705f8588e7c87789079e12a137937c41e910246a0afd0e318a281a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-26T16:30:31Z","title_canon_sha256":"f7b2369a4edea45d0da36597223839f63613c688400e9ffa21f7a4ba5a8ee273"},"schema_version":"1.0","source":{"id":"1201.5571","kind":"arxiv","version":2}},"canonical_sha256":"8220f1c4e403836aac88dc8f4f9e662d09c05999e7ad13a003e3ed839cea227a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8220f1c4e403836aac88dc8f4f9e662d09c05999e7ad13a003e3ed839cea227a","first_computed_at":"2026-05-18T04:01:01.412403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:01.412403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s8+YdasfukuDaYUooQNT2mHccY8f/LV4Qg67SQaW/gI4GQkSRAqPeHGvTKBIxyy3P/jqX95sw8HXB0vT8S4bDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:01.413188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5571","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b645aaa217f55cb26132e7ffec4ea629e301bf42c3b52843bce2ab11d402bb1","sha256:78b40bdc44e07b785c388468ff747584221daa5d72b8833ee6fc05a730e704f5"],"state_sha256":"9cc215a095af03dd325697607e69eb614ed345c482a7dc82dd06e7d61d03af0b"}