{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:K5T4O3BIMJ2EBQA5OQNO7XWML7","short_pith_number":"pith:K5T4O3BI","canonical_record":{"source":{"id":"astro-ph/0512416","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-16T19:51:13Z","cross_cats_sorted":[],"title_canon_sha256":"300b7d2f8f64cc470274d1d8c09942bd9e58d6a808f4d0f8a3318c1d9fca1269","abstract_canon_sha256":"e139b6361463707f878cbdb6c0176137eb8f7a9111f2bf3f7b273b03af782902"},"schema_version":"1.0"},"canonical_sha256":"5767c76c28627440c01d741aefdecc5fc02aa093464bcadda530e00661d96891","source":{"kind":"arxiv","id":"astro-ph/0512416","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512416","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512416v4","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512416","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_12","alias_value":"K5T4O3BIMJ2E","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_16","alias_value":"K5T4O3BIMJ2EBQA5","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_8","alias_value":"K5T4O3BI","created_at":"2026-07-04T15:22:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:K5T4O3BIMJ2EBQA5OQNO7XWML7","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0512416","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-16T19:51:13Z","cross_cats_sorted":[],"title_canon_sha256":"300b7d2f8f64cc470274d1d8c09942bd9e58d6a808f4d0f8a3318c1d9fca1269","abstract_canon_sha256":"e139b6361463707f878cbdb6c0176137eb8f7a9111f2bf3f7b273b03af782902"},"schema_version":"1.0"},"canonical_sha256":"5767c76c28627440c01d741aefdecc5fc02aa093464bcadda530e00661d96891","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:17.919802Z","signature_b64":"sF9kZvR2SBHfXqpdhJ28Dp4vCCm+XRNBqVIQLSt6A0BF0mHDhQW7E7JPg0oo+pqxKAP4ZLKPmoP2Ls4rbBYVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5767c76c28627440c01d741aefdecc5fc02aa093464bcadda530e00661d96891","last_reissued_at":"2026-07-04T15:22:17.919395Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:17.919395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0512416","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:22:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uby4mBN+xtpokAYCIiWA5kjYtWRFX0PmyREhKYkjWESP+u9oImp4yfuKn3vs5QaGImgvTirJ1EMBmDLzaIX8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:13:25.202540Z"},"content_sha256":"fe787d6ec9fb674f6cd0dcae57eb189a37b1cacbee7cd6e20a92eaad6ac158c5","schema_version":"1.0","event_id":"sha256:fe787d6ec9fb674f6cd0dcae57eb189a37b1cacbee7cd6e20a92eaad6ac158c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:K5T4O3BIMJ2EBQA5OQNO7XWML7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"(2) UC Irvine), Andrew R. Zentner (1), Andrey V. Kravtsov (1), Brandon Allgood ((1) KICP, James S. Bullock (2), Risa H. Wechsler (1), U. Chicago","submitted_at":"2005-12-16T19:51:13Z","abstract_excerpt":"We investigate the dependence of dark matter halo clustering on halo formation time, density profile concentration, and subhalo occupation number, using high-resolution numerical simulations of a LCDM cosmology. We confirm results that halo clustering is a function of halo formation time, and that this trend depends on halo mass. For the first time, we show unequivocally that halo clustering is a function of halo concentration and show that the dependence of halo bias on concentration, mass, and redshift can be accurately parameterized in a simple way: b(c,M|z) = b(M|z) b(c|M/M*). The scaling "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512416","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0512416/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:22:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DtlFW8NgeMdr/jlSLGFbQRWM3S09KaeAf0wK7tIQTwDSOq5seDDj5AAOeChyfZrxU9AA82LIhayM8NgUnF8UDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:13:25.202918Z"},"content_sha256":"b68e8b66a16f38bd01cccbf9b783a46af7d8b4c90a3b746fb836124b793e9e32","schema_version":"1.0","event_id":"sha256:b68e8b66a16f38bd01cccbf9b783a46af7d8b4c90a3b746fb836124b793e9e32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/bundle.json","state_url":"https://pith.science/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-07T14:13:25Z","links":{"resolver":"https://pith.science/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7","bundle":"https://pith.science/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/bundle.json","state":"https://pith.science/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5T4O3BIMJ2EBQA5OQNO7XWML7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:K5T4O3BIMJ2EBQA5OQNO7XWML7","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":"e139b6361463707f878cbdb6c0176137eb8f7a9111f2bf3f7b273b03af782902","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-16T19:51:13Z","title_canon_sha256":"300b7d2f8f64cc470274d1d8c09942bd9e58d6a808f4d0f8a3318c1d9fca1269"},"schema_version":"1.0","source":{"id":"astro-ph/0512416","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512416","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512416v4","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512416","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_12","alias_value":"K5T4O3BIMJ2E","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_16","alias_value":"K5T4O3BIMJ2EBQA5","created_at":"2026-07-04T15:22:17Z"},{"alias_kind":"pith_short_8","alias_value":"K5T4O3BI","created_at":"2026-07-04T15:22:17Z"}],"graph_snapshots":[{"event_id":"sha256:b68e8b66a16f38bd01cccbf9b783a46af7d8b4c90a3b746fb836124b793e9e32","target":"graph","created_at":"2026-07-04T15:22:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/0512416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the dependence of dark matter halo clustering on halo formation time, density profile concentration, and subhalo occupation number, using high-resolution numerical simulations of a LCDM cosmology. We confirm results that halo clustering is a function of halo formation time, and that this trend depends on halo mass. For the first time, we show unequivocally that halo clustering is a function of halo concentration and show that the dependence of halo bias on concentration, mass, and redshift can be accurately parameterized in a simple way: b(c,M|z) = b(M|z) b(c|M/M*). The scaling ","authors_text":"(2) UC Irvine), Andrew R. Zentner (1), Andrey V. Kravtsov (1), Brandon Allgood ((1) KICP, James S. Bullock (2), Risa H. Wechsler (1), U. Chicago","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-12-16T19:51:13Z","title":"The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512416","kind":"arxiv","version":4},"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:fe787d6ec9fb674f6cd0dcae57eb189a37b1cacbee7cd6e20a92eaad6ac158c5","target":"record","created_at":"2026-07-04T15:22:17Z","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":"e139b6361463707f878cbdb6c0176137eb8f7a9111f2bf3f7b273b03af782902","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-16T19:51:13Z","title_canon_sha256":"300b7d2f8f64cc470274d1d8c09942bd9e58d6a808f4d0f8a3318c1d9fca1269"},"schema_version":"1.0","source":{"id":"astro-ph/0512416","kind":"arxiv","version":4}},"canonical_sha256":"5767c76c28627440c01d741aefdecc5fc02aa093464bcadda530e00661d96891","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5767c76c28627440c01d741aefdecc5fc02aa093464bcadda530e00661d96891","first_computed_at":"2026-07-04T15:22:17.919395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:17.919395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sF9kZvR2SBHfXqpdhJ28Dp4vCCm+XRNBqVIQLSt6A0BF0mHDhQW7E7JPg0oo+pqxKAP4ZLKPmoP2Ls4rbBYVBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:17.919802Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0512416","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe787d6ec9fb674f6cd0dcae57eb189a37b1cacbee7cd6e20a92eaad6ac158c5","sha256:b68e8b66a16f38bd01cccbf9b783a46af7d8b4c90a3b746fb836124b793e9e32"],"state_sha256":"962e6b8aa64ab74d139618905ff24c710f3b0d59b7fdb3fbe8db8e534d7ee964"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ovwJrg+MYqv/rEuK6RtqeumPXXrcAN6UHeL/8jP5CTKIq5QiuF2pJP+iylywNXyTTJBWgAhEkZ5mHy4A2hFYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T14:13:25.204838Z","bundle_sha256":"3de51faaa8d857e9fefa8379a7c5154ca3e552dad9903414165cf61ab8c4f774"}}