{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BFRMDRKYBSZQ2BUUWWTQAOLLFR","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":"b657acfff1bdd8a09194b43ab0d186e75bd6f77db63ed7ced73ef1bc9fafacf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-02-10T22:40:27Z","title_canon_sha256":"64e888caacf6cb409f789fc62343a85507930ab7ca9cfc534e7a84eb30963ebb"},"schema_version":"1.0","source":{"id":"1602.03562","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03562","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03562v2","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03562","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"BFRMDRKYBSZQ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BFRMDRKYBSZQ2BUU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BFRMDRKY","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:3775e724540dbce3e8145225d22fd90001baa9c19751fab9c8c4609d6fab8cb2","target":"graph","created_at":"2026-05-18T01:12:48Z","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":"In order to quantify the error budget in the measured probability distribution functions of cell densities, the two-point statistics of cosmic densities in concentric spheres is investigated. Bias functions are introduced as the ratio of their two-point correlation function to the two-point correlation of the underlying dark matter distribution. They describe how cell densities are spatially correlated. They are computed here via the so-called large deviation principle in the quasi-linear regime. Their large-separation limit is presented and successfully compared to simulations for density and","authors_text":"Christophe Pichon, Francis Bernardeau, Sandrine Codis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-02-10T22:40:27Z","title":"The large-scale correlations of multi-cell densities and profiles, implications for cosmic variance estimates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03562","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:dc6a9a3ac81857e70feef1f27c66ed47b07cd0f2850878dc1c371d92007d4b69","target":"record","created_at":"2026-05-18T01:12:48Z","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":"b657acfff1bdd8a09194b43ab0d186e75bd6f77db63ed7ced73ef1bc9fafacf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-02-10T22:40:27Z","title_canon_sha256":"64e888caacf6cb409f789fc62343a85507930ab7ca9cfc534e7a84eb30963ebb"},"schema_version":"1.0","source":{"id":"1602.03562","kind":"arxiv","version":2}},"canonical_sha256":"0962c1c5580cb30d0694b5a700396b2c5550b26b9ab5fc4b007b33a6753cdc82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0962c1c5580cb30d0694b5a700396b2c5550b26b9ab5fc4b007b33a6753cdc82","first_computed_at":"2026-05-18T01:12:48.971099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:48.971099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"glB43C2akLvEQlXCr8WQ4/qJcRI8QRI8orI1cOrNAK8rj+y6YEc7q2h9A8SFI275hWQVXqaERvUanrCDIFNDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:48.971429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03562","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc6a9a3ac81857e70feef1f27c66ed47b07cd0f2850878dc1c371d92007d4b69","sha256:3775e724540dbce3e8145225d22fd90001baa9c19751fab9c8c4609d6fab8cb2"],"state_sha256":"a17fb843ec73c43014e2b1b8a16b1480045f6f7704923ea415bc4a2b5185cf15"}