{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NFRJSFCFU6HAC4V5YPRMDAQK5D","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":"00d8cb4440b7105c3df46810b1bf9c4a83d09c222adf1165b219ca402b34bf3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-14T20:22:57Z","title_canon_sha256":"869750d7f6ca098f706820b957ba383e11c8336eb00604a8040e9650fff448b1"},"schema_version":"1.0","source":{"id":"1001.2304","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2304","created_at":"2026-05-18T04:38:50Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2304v2","created_at":"2026-05-18T04:38:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2304","created_at":"2026-05-18T04:38:50Z"},{"alias_kind":"pith_short_12","alias_value":"NFRJSFCFU6HA","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NFRJSFCFU6HAC4V5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NFRJSFCF","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:8a40095c0dc8eaefc23581edddf5885bd08461311eac71eb11250d9ed4e39ff4","target":"graph","created_at":"2026-05-18T04:38:50Z","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 construct merger trees of dark matter haloes and quantify their merger rates and mass growth rates using the joint dataset from the Millennium and Millennium-II simulations. The finer resolution of the Millennium-II Simulation has allowed us to extend our earlier analysis of halo merger statistics to an unprecedentedly wide range of descendant halo mass (10^10 < M0 < 10^15 Msun), progenitor mass ratio (10^-5 < xi < 1), and redshift (0 < z < 15). We update our earlier fitting form for the mean merger rate per halo as a function of M_0, xi, and z. The overall behavior of this quantity is unch","authors_text":"Chung-Pei Ma (Berkeley), Michael Boylan-Kolchin (MPA), Onsi Fakhouri (Berkeley)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-14T20:22:57Z","title":"The Merger Rates and Mass Assembly Histories of Dark Matter Haloes in the Two Millennium Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2304","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:e220632da02e2341191d934bc1b7ffa933942e81c0d7c4aa56d8132a2561250a","target":"record","created_at":"2026-05-18T04:38:50Z","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":"00d8cb4440b7105c3df46810b1bf9c4a83d09c222adf1165b219ca402b34bf3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-14T20:22:57Z","title_canon_sha256":"869750d7f6ca098f706820b957ba383e11c8336eb00604a8040e9650fff448b1"},"schema_version":"1.0","source":{"id":"1001.2304","kind":"arxiv","version":2}},"canonical_sha256":"6962991445a78e0172bdc3e2c1820ae8e458e6cacdd2c11053491347ea5f7364","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6962991445a78e0172bdc3e2c1820ae8e458e6cacdd2c11053491347ea5f7364","first_computed_at":"2026-05-18T04:38:50.709325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:50.709325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"44ChfiZVGMFLAhh8HzJL3lplhFVR+25VuRazGie1GHpkoaQ7UKLrNnoCebPwMADb9YhkpJ9qmHTUJZ9LRiLxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:50.709957Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2304","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e220632da02e2341191d934bc1b7ffa933942e81c0d7c4aa56d8132a2561250a","sha256:8a40095c0dc8eaefc23581edddf5885bd08461311eac71eb11250d9ed4e39ff4"],"state_sha256":"0dd5dcd35d827919cfd39abb06cdc8bdd5c8fe2d0ad058a6f699cacd0599380e"}