{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:G2IXEE7UMR6KPSDWPT7G7EBHC7","short_pith_number":"pith:G2IXEE7U","canonical_record":{"source":{"id":"2010.06635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-10-13T18:57:25Z","cross_cats_sorted":[],"title_canon_sha256":"516cd23a6f82d071a03dc7650c2b0e9a9cf89404a6afc3446d391597ae6d3e4e","abstract_canon_sha256":"286858391132261ae3c5f5e244054077bc706e0b81dc9b3b4444c9a944f77cda"},"schema_version":"1.0"},"canonical_sha256":"36917213f4647ca7c8767cfe6f902717e252a8bf16537b54acd08cfc83fedc53","source":{"kind":"arxiv","id":"2010.06635","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.06635","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"2010.06635v2","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.06635","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"G2IXEE7UMR6K","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_16","alias_value":"G2IXEE7UMR6KPSDW","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_8","alias_value":"G2IXEE7U","created_at":"2026-07-05T02:46:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:G2IXEE7UMR6KPSDWPT7G7EBHC7","target":"record","payload":{"canonical_record":{"source":{"id":"2010.06635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-10-13T18:57:25Z","cross_cats_sorted":[],"title_canon_sha256":"516cd23a6f82d071a03dc7650c2b0e9a9cf89404a6afc3446d391597ae6d3e4e","abstract_canon_sha256":"286858391132261ae3c5f5e244054077bc706e0b81dc9b3b4444c9a944f77cda"},"schema_version":"1.0"},"canonical_sha256":"36917213f4647ca7c8767cfe6f902717e252a8bf16537b54acd08cfc83fedc53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:46:01.046864Z","signature_b64":"/r2jLJEnCiVkJyMHfMhIdU7MfWuvJQbEgoMEHiM1+FUqXwZb3PFXubdWw9ORg6HxJke0naLYdBD+lGxYyfQ2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36917213f4647ca7c8767cfe6f902717e252a8bf16537b54acd08cfc83fedc53","last_reissued_at":"2026-07-05T02:46:01.046376Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:46:01.046376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.06635","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":"2026-07-05T02:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+3LGiffZySGpoKDxD/MedCu0qdhhXXg58EjEOqZYJCbVActIveRpE5j3wLO6KNR0eWOZ7NgiVivt1IDu+nzGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:21:42.027596Z"},"content_sha256":"a4a937aa3bd4cebac66e6cf292035eab63fdc26db2823f040d9bad2a46bf53e3","schema_version":"1.0","event_id":"sha256:a4a937aa3bd4cebac66e6cf292035eab63fdc26db2823f040d9bad2a46bf53e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:G2IXEE7UMR6KPSDWPT7G7EBHC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measuring the cosmic homogeneity scale with SDSS-IV DR16 Quasars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Carlos A. P. Bengaly, Gabriela C. Carvalho, Jailson Alcaniz, Joel C. Carvalho, Rodrigo S. Gon\\c{c}alves, Uendert Andrade","submitted_at":"2020-10-13T18:57:25Z","abstract_excerpt":"We report measurements of the scale of cosmic homogeneity ($r_{h}$) using the recently released quasar sample of the sixteenth data release of the Sloan Digital Sky Survey (SDSS-IV DR16). We perform our analysis in 2 redshift bins lying in the redshift interval $2.2 < z < 3.2$ by means of the fractal dimension $D_2$. By adopting the usual assumption that $r_{h}$ is obtained when $D_2 \\sim 2.97$, that is, within 1% of $D_2=3$, we find the cosmic homogeneity scale with a decreasing trend with redshift, and in good agreement with the $\\Lambda$CDM prediction. Our results confirm the presence of a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.06635","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.06635/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x8NWgF69M4GQwQpizI8LzELlXUdRU1NUr7w4DArXr6UJWXvIPTSIW/QAu7E/T2jbgJxs2xhehxkQ9haa9FbXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:21:42.030436Z"},"content_sha256":"4b5f58018353bc3c75f753c456d61a1d3d7a721765d649258595f9da4ed689ee","schema_version":"1.0","event_id":"sha256:4b5f58018353bc3c75f753c456d61a1d3d7a721765d649258595f9da4ed689ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/bundle.json","state_url":"https://pith.science/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/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":"2026-08-12T21:21:42Z","links":{"resolver":"https://pith.science/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7","bundle":"https://pith.science/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/bundle.json","state":"https://pith.science/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2IXEE7UMR6KPSDWPT7G7EBHC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:G2IXEE7UMR6KPSDWPT7G7EBHC7","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":"286858391132261ae3c5f5e244054077bc706e0b81dc9b3b4444c9a944f77cda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-10-13T18:57:25Z","title_canon_sha256":"516cd23a6f82d071a03dc7650c2b0e9a9cf89404a6afc3446d391597ae6d3e4e"},"schema_version":"1.0","source":{"id":"2010.06635","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.06635","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"2010.06635v2","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.06635","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"G2IXEE7UMR6K","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_16","alias_value":"G2IXEE7UMR6KPSDW","created_at":"2026-07-05T02:46:01Z"},{"alias_kind":"pith_short_8","alias_value":"G2IXEE7U","created_at":"2026-07-05T02:46:01Z"}],"graph_snapshots":[{"event_id":"sha256:4b5f58018353bc3c75f753c456d61a1d3d7a721765d649258595f9da4ed689ee","target":"graph","created_at":"2026-07-05T02:46:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.06635/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report measurements of the scale of cosmic homogeneity ($r_{h}$) using the recently released quasar sample of the sixteenth data release of the Sloan Digital Sky Survey (SDSS-IV DR16). We perform our analysis in 2 redshift bins lying in the redshift interval $2.2 < z < 3.2$ by means of the fractal dimension $D_2$. By adopting the usual assumption that $r_{h}$ is obtained when $D_2 \\sim 2.97$, that is, within 1% of $D_2=3$, we find the cosmic homogeneity scale with a decreasing trend with redshift, and in good agreement with the $\\Lambda$CDM prediction. Our results confirm the presence of a ","authors_text":"Carlos A. P. Bengaly, Gabriela C. Carvalho, Jailson Alcaniz, Joel C. Carvalho, Rodrigo S. Gon\\c{c}alves, Uendert Andrade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-10-13T18:57:25Z","title":"Measuring the cosmic homogeneity scale with SDSS-IV DR16 Quasars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.06635","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:a4a937aa3bd4cebac66e6cf292035eab63fdc26db2823f040d9bad2a46bf53e3","target":"record","created_at":"2026-07-05T02:46:01Z","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":"286858391132261ae3c5f5e244054077bc706e0b81dc9b3b4444c9a944f77cda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-10-13T18:57:25Z","title_canon_sha256":"516cd23a6f82d071a03dc7650c2b0e9a9cf89404a6afc3446d391597ae6d3e4e"},"schema_version":"1.0","source":{"id":"2010.06635","kind":"arxiv","version":2}},"canonical_sha256":"36917213f4647ca7c8767cfe6f902717e252a8bf16537b54acd08cfc83fedc53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36917213f4647ca7c8767cfe6f902717e252a8bf16537b54acd08cfc83fedc53","first_computed_at":"2026-07-05T02:46:01.046376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:46:01.046376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/r2jLJEnCiVkJyMHfMhIdU7MfWuvJQbEgoMEHiM1+FUqXwZb3PFXubdWw9ORg6HxJke0naLYdBD+lGxYyfQ2AA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:46:01.046864Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.06635","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4a937aa3bd4cebac66e6cf292035eab63fdc26db2823f040d9bad2a46bf53e3","sha256:4b5f58018353bc3c75f753c456d61a1d3d7a721765d649258595f9da4ed689ee"],"state_sha256":"77b1a43f28339c6fdd0d3868fa218ab0a966f458fbbb4c1741c46053a22b48c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uk/4/1d33OvtNujv2DxZLZuhTD3xPAKV5wmvkldXQhjf11MK7w3ULwjYmdUtIs+y6ZeA9RYNFGgcXFVmwM/TDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T21:21:42.039856Z","bundle_sha256":"29bc66575e3acf9a76e616d32af2d2548c4545676a2f21dd64efe4ad74496e28"}}