{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:VF36QHRISAZDAKM46ERHEAOER5","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":"f9a48bdff29879289269671cfa39f28894f28958282e74a51ccc76f50f4957f6","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-03-25T10:25:46Z","title_canon_sha256":"049edc0bd81022909a5290453fbb6c7f2b61e1a9f8c0e5c3a77532f81aaa8b43"},"schema_version":"1.0","source":{"id":"astro-ph/9903387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9903387","created_at":"2026-05-18T04:21:32Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9903387v1","created_at":"2026-05-18T04:21:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9903387","created_at":"2026-05-18T04:21:32Z"},{"alias_kind":"pith_short_12","alias_value":"VF36QHRISAZD","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VF36QHRISAZDAKM4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VF36QHRI","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:94a794bedbcc91c61acd36f1b2791cff25648e049cd1f1a90dda4525e6e00773","target":"graph","created_at":"2026-05-18T04:21:32Z","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":"The question we address in this paper is the determination of the correlation properties of the dark matter halos appearing in cosmic density fields once they underwent a strongly nonlinear evolution induced by gravitational dynamics. Assuming that the high-order correlation functions of the matter field behave as products of two-body correlation functions, we derive the correlation properties of the halos, that are assumed to represent the correlation properties of galaxies or clusters.\n  The hierarchical pattern originally induced by gravity is shown to be conserved for the halos. The streng","authors_text":"F. Bernardeau, R. Schaeffer (SPhT Saclay)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1999-03-25T10:25:46Z","title":"Halo correlations in nonlinear cosmic density fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9903387","kind":"arxiv","version":1},"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:e563e6f043d8799d2450b5148807dddfe881f5e4cd51469b50ad2ccd27947863","target":"record","created_at":"2026-05-18T04:21:32Z","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":"f9a48bdff29879289269671cfa39f28894f28958282e74a51ccc76f50f4957f6","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-03-25T10:25:46Z","title_canon_sha256":"049edc0bd81022909a5290453fbb6c7f2b61e1a9f8c0e5c3a77532f81aaa8b43"},"schema_version":"1.0","source":{"id":"astro-ph/9903387","kind":"arxiv","version":1}},"canonical_sha256":"a977e81e28903230299cf1227201c48f4394f167144122fb47960d8556880417","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a977e81e28903230299cf1227201c48f4394f167144122fb47960d8556880417","first_computed_at":"2026-05-18T04:21:32.327821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:32.327821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EkvdeN9z3YpPdbw09ugxDeSQtCSmVBuLjlriiaPnZqdMciFBJxxsuWlmHH17zEnLdZt7DLxk7CiFL7fqjNnFAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:32.328229Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9903387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e563e6f043d8799d2450b5148807dddfe881f5e4cd51469b50ad2ccd27947863","sha256:94a794bedbcc91c61acd36f1b2791cff25648e049cd1f1a90dda4525e6e00773"],"state_sha256":"c7ae17d5ae2daaed057cc5b771005a361416b75128d5eb231052bc4da77f8d3b"}