{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:O4CPCI77R74HM3PWZZ3RU7QYKP","short_pith_number":"pith:O4CPCI77","canonical_record":{"source":{"id":"astro-ph/0412516","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-12-20T13:26:51Z","cross_cats_sorted":[],"title_canon_sha256":"5f85c5228d679eb5503272f7562acfcaac7b1324e14b1751590f4a713f9e896b","abstract_canon_sha256":"63f6cfc5637dce4d27e143b7253094faa2a6c6c4d79f3e0f133b509b8824db1b"},"schema_version":"1.0"},"canonical_sha256":"7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30","source":{"kind":"arxiv","id":"astro-ph/0412516","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0412516","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0412516v2","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0412516","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"O4CPCI77R74H","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_16","alias_value":"O4CPCI77R74HM3PW","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_8","alias_value":"O4CPCI77","created_at":"2026-07-04T16:45:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:O4CPCI77R74HM3PWZZ3RU7QYKP","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0412516","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-12-20T13:26:51Z","cross_cats_sorted":[],"title_canon_sha256":"5f85c5228d679eb5503272f7562acfcaac7b1324e14b1751590f4a713f9e896b","abstract_canon_sha256":"63f6cfc5637dce4d27e143b7253094faa2a6c6c4d79f3e0f133b509b8824db1b"},"schema_version":"1.0"},"canonical_sha256":"7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:45:27.321023Z","signature_b64":"XH6ptxBRlmbMjF4C2cqEsnGg+XIixCR1B9mBvncpOACudxIBaHEgueJVZt0t1Fs5BYNXPF7jmzaKjucxRu7QBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30","last_reissued_at":"2026-07-04T16:45:27.320592Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:45:27.320592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0412516","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:45:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfRDBKy8itgIsBHGtHH0X40TFCWAsvFkOb2LRtu6D5acTSoao+nalICDhiKzT21eXKpYL8WpBlHLZVhmSFJYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:18:08.030474Z"},"content_sha256":"c4101557efd8db35f8bc41c3234f88ce60e457abed330e128086934ded74dc36","schema_version":"1.0","event_id":"sha256:c4101557efd8db35f8bc41c3234f88ce60e457abed330e128086934ded74dc36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:O4CPCI77R74HM3PWZZ3RU7QYKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The distribution of red and blue galaxies in groups: an empirical test of the halo model","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Adrian A. Collister (IoA, Cambridge), London), Ofer Lahav (UCL","submitted_at":"2004-12-20T13:26:51Z","abstract_excerpt":"The popular halo model predicts that the power spectrum of the galaxy fluctuations is simply the sum of the large scale linear halo-halo power spectrum and the weighted power spectrum of the halo profile. Previous studies have derived halo parameters from the observed galaxy correlation function. Here we test the halo model directly for self-consistency with a minimal set of theoretical assumptions by utilising the 2dF Galaxy Redshift Survey (2dFGRS). We derive empirically the halo occupation and galaxy radial distributions in the haloes of the 2dF Percolation-Inferred Galaxy Group (2PIGG) cat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0412516","kind":"arxiv","version":2},"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/0412516/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":"2026-07-04T16:45:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"enk7g/gWs9HVD1S2DaE8j36If0Ns4efLSo4CqJurQ8yqin+tzzyBKNZFwrFWu/+5Q1Lefyk5qUPnGfhY2EO/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:18:08.031642Z"},"content_sha256":"204084c94c9bd8b23bbbe11d7291a78bd1da3d0bb9b9b69b393bf30bfbd05ae4","schema_version":"1.0","event_id":"sha256:204084c94c9bd8b23bbbe11d7291a78bd1da3d0bb9b9b69b393bf30bfbd05ae4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/bundle.json","state_url":"https://pith.science/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/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":"2026-08-05T15:18:08Z","links":{"resolver":"https://pith.science/pith/O4CPCI77R74HM3PWZZ3RU7QYKP","bundle":"https://pith.science/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/bundle.json","state":"https://pith.science/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O4CPCI77R74HM3PWZZ3RU7QYKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:O4CPCI77R74HM3PWZZ3RU7QYKP","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":"63f6cfc5637dce4d27e143b7253094faa2a6c6c4d79f3e0f133b509b8824db1b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-12-20T13:26:51Z","title_canon_sha256":"5f85c5228d679eb5503272f7562acfcaac7b1324e14b1751590f4a713f9e896b"},"schema_version":"1.0","source":{"id":"astro-ph/0412516","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0412516","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0412516v2","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0412516","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"O4CPCI77R74H","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_16","alias_value":"O4CPCI77R74HM3PW","created_at":"2026-07-04T16:45:27Z"},{"alias_kind":"pith_short_8","alias_value":"O4CPCI77","created_at":"2026-07-04T16:45:27Z"}],"graph_snapshots":[{"event_id":"sha256:204084c94c9bd8b23bbbe11d7291a78bd1da3d0bb9b9b69b393bf30bfbd05ae4","target":"graph","created_at":"2026-07-04T16:45:27Z","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/0412516/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The popular halo model predicts that the power spectrum of the galaxy fluctuations is simply the sum of the large scale linear halo-halo power spectrum and the weighted power spectrum of the halo profile. Previous studies have derived halo parameters from the observed galaxy correlation function. Here we test the halo model directly for self-consistency with a minimal set of theoretical assumptions by utilising the 2dF Galaxy Redshift Survey (2dFGRS). We derive empirically the halo occupation and galaxy radial distributions in the haloes of the 2dF Percolation-Inferred Galaxy Group (2PIGG) cat","authors_text":"Adrian A. Collister (IoA, Cambridge), London), Ofer Lahav (UCL","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2004-12-20T13:26:51Z","title":"The distribution of red and blue galaxies in groups: an empirical test of the halo model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0412516","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:c4101557efd8db35f8bc41c3234f88ce60e457abed330e128086934ded74dc36","target":"record","created_at":"2026-07-04T16:45:27Z","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":"63f6cfc5637dce4d27e143b7253094faa2a6c6c4d79f3e0f133b509b8824db1b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-12-20T13:26:51Z","title_canon_sha256":"5f85c5228d679eb5503272f7562acfcaac7b1324e14b1751590f4a713f9e896b"},"schema_version":"1.0","source":{"id":"astro-ph/0412516","kind":"arxiv","version":2}},"canonical_sha256":"7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7704f123ff8ff8766df6ce771a7e1853cb08e39a0d0b7251e28b06a25cf10a30","first_computed_at":"2026-07-04T16:45:27.320592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:45:27.320592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XH6ptxBRlmbMjF4C2cqEsnGg+XIixCR1B9mBvncpOACudxIBaHEgueJVZt0t1Fs5BYNXPF7jmzaKjucxRu7QBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:45:27.321023Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0412516","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4101557efd8db35f8bc41c3234f88ce60e457abed330e128086934ded74dc36","sha256:204084c94c9bd8b23bbbe11d7291a78bd1da3d0bb9b9b69b393bf30bfbd05ae4"],"state_sha256":"a651a9bb9ae1b54a50b0495d40f60b748f688aec1510f8ef40175e19671b8666"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NAfaVCDo/AP4cCBR0kQaMrhoBm+zkmvs0A6eGMk/2B92hdpIs2a/qrERhrueuT5lX7rD55jumf71UpBqvGrqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T15:18:08.039511Z","bundle_sha256":"ea91bedd32258a2cd488d4025c0f8c2d095c0f91e59139dde50bfe1ce62733b1"}}