{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:S7MLCHUWHEDVSUWKAXUVZBZ5H3","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":"cbd2a364e0e3b94e83bc00d819411030015c1c135ef7051eabffe66579a8983a","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-10-17T15:13:07Z","title_canon_sha256":"3b103e2b31ce7aadc18037e07d83bcee70df8093acb0a6b5b114a71d5b1dd6e3"},"schema_version":"1.0","source":{"id":"astro-ph/0510488","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0510488","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0510488v2","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0510488","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"S7MLCHUWHEDV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"S7MLCHUWHEDVSUWK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"S7MLCHUW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2bba8d1d39644e109d70b3aa161ec7b9c3ed9a2baa478bea399fee26ebaf4cc4","target":"graph","created_at":"2026-05-18T04:12:01Z","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":"We study the environmental dependence of the formation epoch of dark matter haloes in the Millennium Simulation: a ten billion particle N-body simulation of standard LambdaCDM cosmology. A sensitive test of this dependence - the marked correlation function - reveals highly significant evidence that haloes of a given mass form earlier in denser regions. We define a marked cross-correlation function, which helps quantify how this effect depends upon the choice of the halo population used to define the environment. The mean halo formation redshift as a function of the local overdensity in dark ma","authors_text":"Adrian Jenkins (Durham University, Carlos Frenk, Geraint Harker, John Helly, Shaun Cole, UK)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-10-17T15:13:07Z","title":"A marked correlation function analysis of halo formation times in the Millennium Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0510488","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":"sha256:2570bb69d9f1bf7baa2cac6f903d681078ebf012bdda3e51a8688788d4e9d491","target":"record","created_at":"2026-05-18T04:12:01Z","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":"cbd2a364e0e3b94e83bc00d819411030015c1c135ef7051eabffe66579a8983a","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-10-17T15:13:07Z","title_canon_sha256":"3b103e2b31ce7aadc18037e07d83bcee70df8093acb0a6b5b114a71d5b1dd6e3"},"schema_version":"1.0","source":{"id":"astro-ph/0510488","kind":"arxiv","version":2}},"canonical_sha256":"97d8b11e9639075952ca05e95c873d3eedeb62601ea78a8cce96265aec389918","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97d8b11e9639075952ca05e95c873d3eedeb62601ea78a8cce96265aec389918","first_computed_at":"2026-05-18T04:12:01.113132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:01.113132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gbwMsTASkCtkhc1HNmRM/Zw2Zzy8wBozWY/+Xj1THNc1dAPJnEUPxpuf4+rBA6X9Kif3cZlhl6qhxayW9GyVBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:01.113620Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0510488","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2570bb69d9f1bf7baa2cac6f903d681078ebf012bdda3e51a8688788d4e9d491","sha256:2bba8d1d39644e109d70b3aa161ec7b9c3ed9a2baa478bea399fee26ebaf4cc4"],"state_sha256":"089bd9660468e27cf11cac0374bce44fbf7ac050741c48907a4dabe60923eae7"}