{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:3YEYTT4UMNLQUE2HYXD62X3DQC","short_pith_number":"pith:3YEYTT4U","canonical_record":{"source":{"id":"astro-ph/0603146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-03-06T21:32:06Z","cross_cats_sorted":[],"title_canon_sha256":"41308af94489a03bfa10eb0c35b85ac8478462859310bc5cf393d35feec60fec","abstract_canon_sha256":"c3b2346faf528f49b26db58becac7e339791b3db741d6a28a41043cebfc97637"},"schema_version":"1.0"},"canonical_sha256":"de0989cf9463570a1347c5c7ed5f6380ab42a0bb0beb7f1cb5735ac396fc3997","source":{"kind":"arxiv","id":"astro-ph/0603146","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0603146","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0603146v1","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0603146","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"3YEYTT4UMNLQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3YEYTT4UMNLQUE2H","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3YEYTT4U","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:3YEYTT4UMNLQUE2HYXD62X3DQC","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0603146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-03-06T21:32:06Z","cross_cats_sorted":[],"title_canon_sha256":"41308af94489a03bfa10eb0c35b85ac8478462859310bc5cf393d35feec60fec","abstract_canon_sha256":"c3b2346faf528f49b26db58becac7e339791b3db741d6a28a41043cebfc97637"},"schema_version":"1.0"},"canonical_sha256":"de0989cf9463570a1347c5c7ed5f6380ab42a0bb0beb7f1cb5735ac396fc3997","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:04.980685Z","signature_b64":"uCDt6NbZGBMvbxCx2W2GnAXSWD39ELDm5Lp4cVuNzmSF0P4zCWqCx4/Rc9reEB8+DLC2TaOOddrVl8oqGSbECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de0989cf9463570a1347c5c7ed5f6380ab42a0bb0beb7f1cb5735ac396fc3997","last_reissued_at":"2026-05-18T04:29:04.980259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:04.980259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0603146","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:29:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Vz0L+uADFNAwoF/M9SVirRttWn80Ga1lkYeEM/wL2TUfbA+7zQEhZWJmiqj4nWZSM3PmIvfaosZfGeUbAvyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:05:42.293052Z"},"content_sha256":"0553c5ac0d90b6024ed0d1cf4d5c3c5b5792dc532753e05be570561d778234ba","schema_version":"1.0","event_id":"sha256:0553c5ac0d90b6024ed0d1cf4d5c3c5b5792dc532753e05be570561d778234ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:3YEYTT4UMNLQUE2HYXD62X3DQC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmic Voids and Galaxy Bias in the Halo Occupation Framework","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"David H. Weinberg (Ohio State), Jeremy L. Tinker (KICP, Michael S. Warren (LANL), UChicago)","submitted_at":"2006-03-06T21:32:06Z","abstract_excerpt":"(Abridged) We investigate the power of void statistics to constrain galaxy bias and the amplitude of dark matter fluctuations. We use the halo occupation distribution (HOD) framework to describe the relation between galaxies and dark matter. After choosing HOD parameters that reproduce the mean space density n_gal and projected correlation function w_p measured for galaxy samples with M_r<-19 and M_r<-21 from the Sloan Digital Sky Survey (SDSS), we predict the void probability function (VPF) and underdensity probability function (UPF) of these samples by populating the halos of a large, high-r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0603146","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T04:29:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NoKjLHMW14tPhPVKqrDfBP6MasPcgpA/sRyklkBAoC6zhxoPfJKOWXoDSPsuSzmBEmODrHs5dBGZx4mvfXrbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:05:42.293410Z"},"content_sha256":"d52df78c5e154128b2741499aeb2ba859b369dc670c02b3715462a4e063b6df5","schema_version":"1.0","event_id":"sha256:d52df78c5e154128b2741499aeb2ba859b369dc670c02b3715462a4e063b6df5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/bundle.json","state_url":"https://pith.science/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/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":"2026-06-02T14:05:42Z","links":{"resolver":"https://pith.science/pith/3YEYTT4UMNLQUE2HYXD62X3DQC","bundle":"https://pith.science/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/bundle.json","state":"https://pith.science/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YEYTT4UMNLQUE2HYXD62X3DQC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:3YEYTT4UMNLQUE2HYXD62X3DQC","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":"c3b2346faf528f49b26db58becac7e339791b3db741d6a28a41043cebfc97637","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-03-06T21:32:06Z","title_canon_sha256":"41308af94489a03bfa10eb0c35b85ac8478462859310bc5cf393d35feec60fec"},"schema_version":"1.0","source":{"id":"astro-ph/0603146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0603146","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0603146v1","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0603146","created_at":"2026-05-18T04:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"3YEYTT4UMNLQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3YEYTT4UMNLQUE2H","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3YEYTT4U","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d52df78c5e154128b2741499aeb2ba859b369dc670c02b3715462a4e063b6df5","target":"graph","created_at":"2026-05-18T04:29:04Z","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":"(Abridged) We investigate the power of void statistics to constrain galaxy bias and the amplitude of dark matter fluctuations. We use the halo occupation distribution (HOD) framework to describe the relation between galaxies and dark matter. After choosing HOD parameters that reproduce the mean space density n_gal and projected correlation function w_p measured for galaxy samples with M_r<-19 and M_r<-21 from the Sloan Digital Sky Survey (SDSS), we predict the void probability function (VPF) and underdensity probability function (UPF) of these samples by populating the halos of a large, high-r","authors_text":"David H. Weinberg (Ohio State), Jeremy L. Tinker (KICP, Michael S. Warren (LANL), UChicago)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-03-06T21:32:06Z","title":"Cosmic Voids and Galaxy Bias in the Halo Occupation Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0603146","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":"sha256:0553c5ac0d90b6024ed0d1cf4d5c3c5b5792dc532753e05be570561d778234ba","target":"record","created_at":"2026-05-18T04:29:04Z","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":"c3b2346faf528f49b26db58becac7e339791b3db741d6a28a41043cebfc97637","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-03-06T21:32:06Z","title_canon_sha256":"41308af94489a03bfa10eb0c35b85ac8478462859310bc5cf393d35feec60fec"},"schema_version":"1.0","source":{"id":"astro-ph/0603146","kind":"arxiv","version":1}},"canonical_sha256":"de0989cf9463570a1347c5c7ed5f6380ab42a0bb0beb7f1cb5735ac396fc3997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de0989cf9463570a1347c5c7ed5f6380ab42a0bb0beb7f1cb5735ac396fc3997","first_computed_at":"2026-05-18T04:29:04.980259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:04.980259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uCDt6NbZGBMvbxCx2W2GnAXSWD39ELDm5Lp4cVuNzmSF0P4zCWqCx4/Rc9reEB8+DLC2TaOOddrVl8oqGSbECA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:04.980685Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0603146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0553c5ac0d90b6024ed0d1cf4d5c3c5b5792dc532753e05be570561d778234ba","sha256:d52df78c5e154128b2741499aeb2ba859b369dc670c02b3715462a4e063b6df5"],"state_sha256":"39e18ee69a6c596c0e4826de4524824dd4feb0ea040c4ed061cec993031353ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dysH0kVWADcQ4ZDn1VPn9sxcnRVNrpLfMuEoQUfItPGriVxS5H/65hMgzB5STXrB4NMdvBwqBFOINn+qRRcXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:05:42.295363Z","bundle_sha256":"5a9f18ea20eee078fa0ee7e561b634e1d75f08e61e4d8a5a41b6d6492d1ec07e"}}