{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CTGPCO7PRKKWESKJZNHETDQJWO","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":"ae2f36a837f40a7b39a714fbeb1501dfb579fafb1b35c3911997ed78b13dfdae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-01-14T21:00:06Z","title_canon_sha256":"cff5b708fe9ee06115a82f75556ed123d7d109144684001350afc26763cf3d98"},"schema_version":"1.0","source":{"id":"1101.2896","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2896","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2896v1","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2896","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"CTGPCO7PRKKW","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CTGPCO7PRKKWESKJ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CTGPCO7P","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:cfeced156182d31ee569f5bbe890d039e93fc1f94a2c51d07106d2c733d235dd","target":"graph","created_at":"2026-05-18T02:03:39Z","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 present an analytical calculation of the extreme value statistics for dark matter halos - that is, the probability distribution of the most massive halo within some region of the universe of specified shape and size. Our calculation makes use of the counts-in-cells formalism for the correlation functions, and the halo bias derived from the Sheth-Tormen mass function.\n  We demonstrate the power of the method on spherical regions, comparing the results to measurements in a large cosmological dark matter simulation and achieving good agreement. Particularly good fits are obtained for the most ","authors_text":"Christophe Pichon, Joe Silk, Julien Devriendt, Olaf Davis, St\\'ephane Colombi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-01-14T21:00:06Z","title":"Most massive halos with Gumbel Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2896","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":"sha256:7350292d53ea97df2fee6f1ca90a374a336b0027fc2f20bd0947260735c84485","target":"record","created_at":"2026-05-18T02:03:39Z","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":"ae2f36a837f40a7b39a714fbeb1501dfb579fafb1b35c3911997ed78b13dfdae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-01-14T21:00:06Z","title_canon_sha256":"cff5b708fe9ee06115a82f75556ed123d7d109144684001350afc26763cf3d98"},"schema_version":"1.0","source":{"id":"1101.2896","kind":"arxiv","version":1}},"canonical_sha256":"14ccf13bef8a95624949cb4e498e09b38e23defdbdb7fd153705e4ffdbfb4810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14ccf13bef8a95624949cb4e498e09b38e23defdbdb7fd153705e4ffdbfb4810","first_computed_at":"2026-05-18T02:03:39.849104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:39.849104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w4UR3ybYOITOM7Wm2LfACJ/fMHK37k776Ppl9BVyId9LfOYejxLlZGM1lrrF8MqLOnrwLF1/9+KWmNCCTMOcCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:39.849635Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2896","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7350292d53ea97df2fee6f1ca90a374a336b0027fc2f20bd0947260735c84485","sha256:cfeced156182d31ee569f5bbe890d039e93fc1f94a2c51d07106d2c733d235dd"],"state_sha256":"09d06b309a1f0007db4f67093c56962bbd427264c152b53e9eb8ec7b2da3dfd0"}