{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:W7HAS4NXB3WPNZIGN6FKS7TCDR","short_pith_number":"pith:W7HAS4NX","canonical_record":{"source":{"id":"1301.5360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-22T23:07:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f82db07ccf1932b210fae98e79347ffc16ddc459aaf482ba96ecc0d422209ced","abstract_canon_sha256":"62761b7fb88d9ff60766824a884a359ffbed8ee90c49b5017702777b260bb127"},"schema_version":"1.0"},"canonical_sha256":"b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8","source":{"kind":"arxiv","id":"1301.5360","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5360","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5360v2","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5360","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"W7HAS4NXB3WP","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W7HAS4NXB3WPNZIG","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W7HAS4NX","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:W7HAS4NXB3WPNZIGN6FKS7TCDR","target":"record","payload":{"canonical_record":{"source":{"id":"1301.5360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-22T23:07:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f82db07ccf1932b210fae98e79347ffc16ddc459aaf482ba96ecc0d422209ced","abstract_canon_sha256":"62761b7fb88d9ff60766824a884a359ffbed8ee90c49b5017702777b260bb127"},"schema_version":"1.0"},"canonical_sha256":"b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:45.146476Z","signature_b64":"3HV13hyoRjLsabgKc7bhV9NJVC7OBTQaitfQ6d+TdgufY8vQinTZHuxfkir7QrNd6Pvp7bx7VqneYkO5Wq9wCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8","last_reissued_at":"2026-05-18T02:56:45.145968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:45.145968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.5360","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gy8RH8dd3J3kem5w6BmeggFRJhHFePU1Jl5WbXliXKaMHz+mj+c3T89OqUSDspSn4ROyjw2mC6trhNaGA+7IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:18.581827Z"},"content_sha256":"64a4968ec2c3029bef463f4d802ff3dc22795cda2fb7634e49e1d0ebfcf8c934","schema_version":"1.0","event_id":"sha256:64a4968ec2c3029bef463f4d802ff3dc22795cda2fb7634e49e1d0ebfcf8c934"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:W7HAS4NXB3WPNZIGN6FKS7TCDR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Studying light propagation in a locally homogeneous universe through an extended Dyer-Roeder approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"J. A. S. Lima, R. C. Santos, V. C. Busti","submitted_at":"2013-01-22T23:07:36Z","abstract_excerpt":"Light is affected by local inhomogeneities in its propagation, which may alter distances and so cosmological parameter estimation. In the era of precision cosmology, the presence of inhomogeneities may induce systematic errors if not properly accounted. In this vein, a new interpretation of the conventional Dyer-Roeder (DR) approach by allowing light received from distant sources to travel in regions denser than average is proposed. It is argued that the existence of a distribution of small and moderate cosmic voids (or \"black regions\") implies that its matter content was redistributed to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5360","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vr4KJN9tiLciV3mPcNP2poOy54K5Z+YWz8N35zTGBUuGVEqV9aaB4ZIu/u3eOsyzam7EvmXiJRT/NO0U+OLtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:18.582291Z"},"content_sha256":"506c226fc05c445f2ed8f21b22630fe7aee26e3d19ecb37b15878320bee56883","schema_version":"1.0","event_id":"sha256:506c226fc05c445f2ed8f21b22630fe7aee26e3d19ecb37b15878320bee56883"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/bundle.json","state_url":"https://pith.science/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T21:36:18Z","links":{"resolver":"https://pith.science/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR","bundle":"https://pith.science/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/bundle.json","state":"https://pith.science/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7HAS4NXB3WPNZIGN6FKS7TCDR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W7HAS4NXB3WPNZIGN6FKS7TCDR","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":"62761b7fb88d9ff60766824a884a359ffbed8ee90c49b5017702777b260bb127","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-22T23:07:36Z","title_canon_sha256":"f82db07ccf1932b210fae98e79347ffc16ddc459aaf482ba96ecc0d422209ced"},"schema_version":"1.0","source":{"id":"1301.5360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5360","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5360v2","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5360","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"W7HAS4NXB3WP","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W7HAS4NXB3WPNZIG","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W7HAS4NX","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:506c226fc05c445f2ed8f21b22630fe7aee26e3d19ecb37b15878320bee56883","target":"graph","created_at":"2026-05-18T02:56:45Z","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":"Light is affected by local inhomogeneities in its propagation, which may alter distances and so cosmological parameter estimation. In the era of precision cosmology, the presence of inhomogeneities may induce systematic errors if not properly accounted. In this vein, a new interpretation of the conventional Dyer-Roeder (DR) approach by allowing light received from distant sources to travel in regions denser than average is proposed. It is argued that the existence of a distribution of small and moderate cosmic voids (or \"black regions\") implies that its matter content was redistributed to the ","authors_text":"J. A. S. Lima, R. C. Santos, V. C. Busti","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-22T23:07:36Z","title":"Studying light propagation in a locally homogeneous universe through an extended Dyer-Roeder approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5360","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":"sha256:64a4968ec2c3029bef463f4d802ff3dc22795cda2fb7634e49e1d0ebfcf8c934","target":"record","created_at":"2026-05-18T02:56:45Z","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":"62761b7fb88d9ff60766824a884a359ffbed8ee90c49b5017702777b260bb127","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-22T23:07:36Z","title_canon_sha256":"f82db07ccf1932b210fae98e79347ffc16ddc459aaf482ba96ecc0d422209ced"},"schema_version":"1.0","source":{"id":"1301.5360","kind":"arxiv","version":2}},"canonical_sha256":"b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8","first_computed_at":"2026-05-18T02:56:45.145968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:45.145968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3HV13hyoRjLsabgKc7bhV9NJVC7OBTQaitfQ6d+TdgufY8vQinTZHuxfkir7QrNd6Pvp7bx7VqneYkO5Wq9wCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:45.146476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64a4968ec2c3029bef463f4d802ff3dc22795cda2fb7634e49e1d0ebfcf8c934","sha256:506c226fc05c445f2ed8f21b22630fe7aee26e3d19ecb37b15878320bee56883"],"state_sha256":"c8a091e59e7a2f2e620e1e46ebff3870e9e992e661b645230f4c3302f49df464"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kzxp9mHcLaLazsVpf+8Dul3gF7LYjUxC5WuG+6GA+1Jl6whaoRQmA+qGXIbUf1K+UX8OFqWD+L4fLQbmHMMvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:36:18.585081Z","bundle_sha256":"78f26a13bfcb3ea91c123fbf715839008e712621148f9010636d10dea662ba43"}}