{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7TEHWCTC3JWJGVCHVNMW6SXTNK","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":"1f7af15e79add10ae950c756d45f0065ed1a4be208ead3d7ec948266cecb7fd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-01-24T16:57:27Z","title_canon_sha256":"f91633a412f9ab2fee8aa9f7ca361865795c06def7e418fbbb420d016806ad3c"},"schema_version":"1.0","source":{"id":"2501.14638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14638","created_at":"2026-07-05T11:24:13Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14638v2","created_at":"2026-07-05T11:24:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14638","created_at":"2026-07-05T11:24:13Z"},{"alias_kind":"pith_short_12","alias_value":"7TEHWCTC3JWJ","created_at":"2026-07-05T11:24:13Z"},{"alias_kind":"pith_short_16","alias_value":"7TEHWCTC3JWJGVCH","created_at":"2026-07-05T11:24:13Z"},{"alias_kind":"pith_short_8","alias_value":"7TEHWCTC","created_at":"2026-07-05T11:24:13Z"}],"graph_snapshots":[{"event_id":"sha256:a61002a1a90438f983ebc1053d8638de287bbe41847cfad299c4454b828bb30f","target":"graph","created_at":"2026-07-05T11:24:13Z","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/2501.14638/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an analytical model for density-split correlation functions, that probe galaxy clustering in different density environments. Specifically, we focus on the cross-correlation between density-split regions and the tracer density field. We show that these correlation functions can be expressed in terms of the two-point probability density function (PDF) of the density field. We derive analytical predictions using three levels of approximation for the two-point PDF: a bivariate Gaussian distribution, a bivariate shifted log-normal distribution, and a prediction based on the Large Deviati","authors_text":"Arnaud de Mattia, Carolina Cuesta-Lazaro, Enrique Paillas, \\'Etienne Burtin, Mathilde Pinon, Sandrine Codis, Vanina Ruhlmann-Kleider","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-01-24T16:57:27Z","title":"A theoretical approach to density-split clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14638","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":"sha256:7638a86db1b7d26c3bf5d50ee14cce070610bb4250b04709cd953c17d76fd032","target":"record","created_at":"2026-07-05T11:24:13Z","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":"1f7af15e79add10ae950c756d45f0065ed1a4be208ead3d7ec948266cecb7fd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-01-24T16:57:27Z","title_canon_sha256":"f91633a412f9ab2fee8aa9f7ca361865795c06def7e418fbbb420d016806ad3c"},"schema_version":"1.0","source":{"id":"2501.14638","kind":"arxiv","version":2}},"canonical_sha256":"fcc87b0a62da6c935447ab596f4af36a93a92373ebc8ceae2ca7593c3f1d47c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcc87b0a62da6c935447ab596f4af36a93a92373ebc8ceae2ca7593c3f1d47c1","first_computed_at":"2026-07-05T11:24:13.063039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:13.063039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tST1a1D5pu8X2aljZSFCxmooNMUFfzsgk4s0ZNjgOMTg9ZrpgB9LgWicRHsMXTeB+Wm+f/75D8tL/voXnf/ZAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:13.063600Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.14638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7638a86db1b7d26c3bf5d50ee14cce070610bb4250b04709cd953c17d76fd032","sha256:a61002a1a90438f983ebc1053d8638de287bbe41847cfad299c4454b828bb30f"],"state_sha256":"b5e23dcd6848c2868b1b98a9423660aa1f599ebd3ee35df6b7a069358e244945"}