{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:K6L3VR4DWO2F2V7YLOOC2MX7M3","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":"834289f993a6257434d07942543c4a877d5b4242ee18fd20639fbfe5d5cb835d","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-24T20:00:22Z","title_canon_sha256":"be94a6ae0b93ea36bd48890488e167f2ff6e48fcbfa479b57d9ce59e6a5fb50c"},"schema_version":"1.0","source":{"id":"0907.4371","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4371","created_at":"2026-05-18T02:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4371v2","created_at":"2026-05-18T02:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4371","created_at":"2026-05-18T02:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"K6L3VR4DWO2F","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"K6L3VR4DWO2F2V7Y","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"K6L3VR4D","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:035f33784ecff3cf9542480f8e3b9e73c89bbdd7ead58197f366238b7dc78478","target":"graph","created_at":"2026-05-18T02:12:53Z","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 test the concordance LCDM cosmology by comparing predictions for the mean properties of galaxy clusters to observations. We use high-resolution N-body simulations of cosmic structure formation and semi-analytic models of galaxy formation to compute the abundance, mean density profile, and mass of galaxy clusters as a function of richness and luminosity, and we compare these predictions to observations of clusters in the Sloan Digital Sky Survey (SDSS) maxBCG catalogue. We discuss the scatter in the mass-richness relation, the reconstruction of the cluster mass function from the mass-richnes","authors_text":"Simon D. M. White, Stefan Hilbert","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-24T20:00:22Z","title":"Abundances, masses, and weak-lensing mass profiles of galaxy clusters as a function of richness and luminosity in LambdaCDM cosmologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4371","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":"sha256:5233c9d65b461b99e2074f6ebb66f78f148d4b85df464f2e643d0459da833717","target":"record","created_at":"2026-05-18T02:12:53Z","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":"834289f993a6257434d07942543c4a877d5b4242ee18fd20639fbfe5d5cb835d","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-24T20:00:22Z","title_canon_sha256":"be94a6ae0b93ea36bd48890488e167f2ff6e48fcbfa479b57d9ce59e6a5fb50c"},"schema_version":"1.0","source":{"id":"0907.4371","kind":"arxiv","version":2}},"canonical_sha256":"5797bac783b3b45d57f85b9c2d32ff66eed9c76feaf5ed6a83970e234db4160a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5797bac783b3b45d57f85b9c2d32ff66eed9c76feaf5ed6a83970e234db4160a","first_computed_at":"2026-05-18T02:12:53.734974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:53.734974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AY8K7yoJnot6fP5+9f/AD8u+0L13pqNaUDtZ4lXVEqOK8Eo0VKi3aOprUwpoxjrwHCjAlBwshhqu6BLpxKY+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:53.735630Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.4371","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5233c9d65b461b99e2074f6ebb66f78f148d4b85df464f2e643d0459da833717","sha256:035f33784ecff3cf9542480f8e3b9e73c89bbdd7ead58197f366238b7dc78478"],"state_sha256":"72d7220653551f29d6dda8ab8fe804910b130bfe7a7b55ee964b1a265c792b7b"}