{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2UDFGOAYLSCUBQXFED36M2BH7I","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":"4c3c22ea5c918c7326c736bcbbe87c94efe65c3627623a6e1a7313c77289c4c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-07-04T20:00:32Z","title_canon_sha256":"1a47697f418544f88e2f2dd918415af6a5c33595352dc4030cd83a42efdd596d"},"schema_version":"1.0","source":{"id":"1607.01026","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01026","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01026v2","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01026","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"pith_short_12","alias_value":"2UDFGOAYLSCU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2UDFGOAYLSCUBQXF","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2UDFGOAY","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:0c20bc91fd8f22cbecc07740dca0552480ef80193e9f43a871fc3d08550c1b43","target":"graph","created_at":"2026-05-18T00:44:16Z","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":"Simple parameter-free analytic bias functions for the two-point correlation of densities in spheres at large separation are presented. These bias functions generalize the so-called Kaiser bias to the mildly non-linear regime for arbitrary density contrasts. The derivation is carried out in the context of large deviation statistics while relying on the spherical collapse model. A logarithmic transformation provides a saddle approximation which is valid for the whole range of densities and shown to be accurate against the 30 Gpc cube state-of-the-art Horizon Run 4 simulation. Special configurati","authors_text":"B. L'Huillier, C. Park, C. Pichon, C. Uhlemann, D. Pogosyan, F. Bernardeau, J. Kim, S. Codis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-07-04T20:00:32Z","title":"Beyond Kaiser bias: mildly non-linear two-point statistics of densities in distant spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01026","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:b8f7324d84a0975bfd5b69108c4ad695af4c42baddbbd5e17788ff35102b109f","target":"record","created_at":"2026-05-18T00:44:16Z","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":"4c3c22ea5c918c7326c736bcbbe87c94efe65c3627623a6e1a7313c77289c4c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-07-04T20:00:32Z","title_canon_sha256":"1a47697f418544f88e2f2dd918415af6a5c33595352dc4030cd83a42efdd596d"},"schema_version":"1.0","source":{"id":"1607.01026","kind":"arxiv","version":2}},"canonical_sha256":"d5065338185c8540c2e520f7e66827fa270d11358f0c02d41993a6e4a5eb015b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5065338185c8540c2e520f7e66827fa270d11358f0c02d41993a6e4a5eb015b","first_computed_at":"2026-05-18T00:44:16.038239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:16.038239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fq0BrqZZtvJLV0k9CUUnqeethiBhZDGw7NOgRF8+bcRwB9aDnjDxFngbVUdDDlgI8CRwP5I0hisfGQHF/D06Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:16.038912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01026","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8f7324d84a0975bfd5b69108c4ad695af4c42baddbbd5e17788ff35102b109f","sha256:0c20bc91fd8f22cbecc07740dca0552480ef80193e9f43a871fc3d08550c1b43"],"state_sha256":"fc8eb6e8443d5961b23057a0346c04c3db0b1f1725b0b3ec4597fef309d90e6f"}