{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:F23L2YBQYFJJQ7HPULQ33POKPD","short_pith_number":"pith:F23L2YBQ","schema_version":"1.0","canonical_sha256":"2eb6bd6030c152987cefa2e1bdbdca78f3481451028bd6945e9a89d1c8f53256","source":{"kind":"arxiv","id":"2404.09197","version":1},"attestation_state":"computed","paper":{"title":"Investigating Cosmic Homogeneity Using Multi-fractal Analysis of the SDSS-IV eBOSS DR16 Quasar Catalog","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Jaswant K. Yadav, Priya Goyal, Sunil Malik, T.R. Seshadri","submitted_at":"2024-04-14T09:17:40Z","abstract_excerpt":"We analyze the volume-limited subsamples extracted from the sixteenth data release of the SDSS-IV eBOSS quasar survey spanning a redshift interval of $0.8 < z < 2.2$, to estimate the scale of transition to homogeneity in the Universe. The multi-fractal analysis used for this purpose considers the scaling behavior of different moments of quasar distribution in different density environments. This analysis gives the spectrum of generalized dimension $D_q$, where positive values of $q$ characterize the scaling behavior in over-dense regions and the negative ones in under-dense regions. We expect "},"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":"2404.09197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-04-14T09:17:40Z","cross_cats_sorted":[],"title_canon_sha256":"c87aeb297f1d9c06edc3f93944daa916abc1f5bff35ec448ae74aa395b4c74a3","abstract_canon_sha256":"7e78e6ef3935c67bbe0cbcb9e850fd2ed3f7541ebd00a73d08acb90480492f3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:46.646164Z","signature_b64":"yI30y2yO+eEqGuARgZCDLFX19yZgWrYCaUwX/FfmQpxUkP7CRKjlyJKvwvRG51hNJ5IcDLlLpYxpqMQqqOdBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eb6bd6030c152987cefa2e1bdbdca78f3481451028bd6945e9a89d1c8f53256","last_reissued_at":"2026-07-05T08:07:46.645764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:46.645764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Investigating Cosmic Homogeneity Using Multi-fractal Analysis of the SDSS-IV eBOSS DR16 Quasar Catalog","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Jaswant K. Yadav, Priya Goyal, Sunil Malik, T.R. Seshadri","submitted_at":"2024-04-14T09:17:40Z","abstract_excerpt":"We analyze the volume-limited subsamples extracted from the sixteenth data release of the SDSS-IV eBOSS quasar survey spanning a redshift interval of $0.8 < z < 2.2$, to estimate the scale of transition to homogeneity in the Universe. The multi-fractal analysis used for this purpose considers the scaling behavior of different moments of quasar distribution in different density environments. This analysis gives the spectrum of generalized dimension $D_q$, where positive values of $q$ characterize the scaling behavior in over-dense regions and the negative ones in under-dense regions. We expect "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09197","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.09197/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2404.09197","created_at":"2026-07-05T08:07:46.645816+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.09197v1","created_at":"2026-07-05T08:07:46.645816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09197","created_at":"2026-07-05T08:07:46.645816+00:00"},{"alias_kind":"pith_short_12","alias_value":"F23L2YBQYFJJ","created_at":"2026-07-05T08:07:46.645816+00:00"},{"alias_kind":"pith_short_16","alias_value":"F23L2YBQYFJJQ7HP","created_at":"2026-07-05T08:07:46.645816+00:00"},{"alias_kind":"pith_short_8","alias_value":"F23L2YBQ","created_at":"2026-07-05T08:07:46.645816+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.19252","citing_title":"Non-parametric reconstructions of cosmic curvature: current constraints and forecasts","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD","json":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD.json","graph_json":"https://pith.science/api/pith-number/F23L2YBQYFJJQ7HPULQ33POKPD/graph.json","events_json":"https://pith.science/api/pith-number/F23L2YBQYFJJQ7HPULQ33POKPD/events.json","paper":"https://pith.science/paper/F23L2YBQ"},"agent_actions":{"view_html":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD","download_json":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD.json","view_paper":"https://pith.science/paper/F23L2YBQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.09197&json=true","fetch_graph":"https://pith.science/api/pith-number/F23L2YBQYFJJQ7HPULQ33POKPD/graph.json","fetch_events":"https://pith.science/api/pith-number/F23L2YBQYFJJQ7HPULQ33POKPD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD/action/storage_attestation","attest_author":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD/action/author_attestation","sign_citation":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD/action/citation_signature","submit_replication":"https://pith.science/pith/F23L2YBQYFJJQ7HPULQ33POKPD/action/replication_record"}},"created_at":"2026-07-05T08:07:46.645816+00:00","updated_at":"2026-07-05T08:07:46.645816+00:00"}