{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:TSL3SA6FKTVL5JBHCI3HTYBW6I","short_pith_number":"pith:TSL3SA6F","canonical_record":{"source":{"id":"astro-ph/9603039","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-03-11T18:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"5c33555ceae63c9cdb7b2ca8c278f6441ea3b30d49120636fb7c5f8c2c1a02d1","abstract_canon_sha256":"ab3b2210ee5c58fa4fec5affd49ad7f62d4ff3031dced5ecf147dec32f102ace"},"schema_version":"1.0"},"canonical_sha256":"9c97b903c554eabea427123679e036f212354c8c151b400f5744b947f21e7f39","source":{"kind":"arxiv","id":"astro-ph/9603039","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9603039","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9603039v1","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9603039","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"TSL3SA6FKTVL","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TSL3SA6FKTVL5JBH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TSL3SA6F","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:TSL3SA6FKTVL5JBHCI3HTYBW6I","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9603039","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-03-11T18:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"5c33555ceae63c9cdb7b2ca8c278f6441ea3b30d49120636fb7c5f8c2c1a02d1","abstract_canon_sha256":"ab3b2210ee5c58fa4fec5affd49ad7f62d4ff3031dced5ecf147dec32f102ace"},"schema_version":"1.0"},"canonical_sha256":"9c97b903c554eabea427123679e036f212354c8c151b400f5744b947f21e7f39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:21.644129Z","signature_b64":"tkSz49GloGxRIJ1u+ABJ5LiUXpcthjM/opGGSM4+64YyeIForPklv2ljRPndlnO6bff2V76xEcsGbb0DGQGOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c97b903c554eabea427123679e036f212354c8c151b400f5744b947f21e7f39","last_reissued_at":"2026-05-18T01:40:21.643630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:21.643630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9603039","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":"2026-05-18T01:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IXX/WnyBlaKzASGhVP0TKbmBwOJBhxDb/whidWt6dHUDKlYKy7MsSotlanBzs3mYL5WK+xVkGonAfQ6BsYuMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:11:06.562695Z"},"content_sha256":"3e3a080b94fc2b0355a06191994acabc0c30a105a4dc5ed0c9b8b7f5121ebdef","schema_version":"1.0","event_id":"sha256:3e3a080b94fc2b0355a06191994acabc0c30a105a4dc5ed0c9b8b7f5121ebdef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:TSL3SA6FKTVL5JBHCI3HTYBW6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-Order Correlations of Peaks and Halos: a Step toward Understanding Galaxy Biasing","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"H.J. Mo (MPA, IAS), S.D.M. White (MPA), Y.P. Jing","submitted_at":"1996-03-11T18:55:39Z","abstract_excerpt":"We develop an analytic model for the hierarchical correlation amplitudes S_j(R)= \\bxi_j(R)/\\bxi_2^{j-1}(R) of density peaks and dark matter halos in the quasi-linear regime. The statistical distribution of density peaks and dark matter halos within the initial density field are determined by the peak formalism and by an extension of the Press-Schechter formalism, respectively. Modifications of these distributions caused by gravitationally induced motions are treated using a spherical collapse model. We test our model against results from a variety of N-body simulations. The model works well fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9603039","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":"2026-05-18T01:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJPG4L3xG/NEVXuKpn7YT1LCEc3pJ6bKFaYIBYXqxQHcLwU2vJkuLH/QSD78/kxn7EPB8HDe3H2RyT3umS1jAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:11:06.563398Z"},"content_sha256":"2f57728675af9af68a1a34a311bca3b58d379891ec8ef319edc097e64ad9058a","schema_version":"1.0","event_id":"sha256:2f57728675af9af68a1a34a311bca3b58d379891ec8ef319edc097e64ad9058a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/bundle.json","state_url":"https://pith.science/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/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":"2026-06-09T10:11:06Z","links":{"resolver":"https://pith.science/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I","bundle":"https://pith.science/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/bundle.json","state":"https://pith.science/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TSL3SA6FKTVL5JBHCI3HTYBW6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:TSL3SA6FKTVL5JBHCI3HTYBW6I","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":"ab3b2210ee5c58fa4fec5affd49ad7f62d4ff3031dced5ecf147dec32f102ace","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-03-11T18:55:39Z","title_canon_sha256":"5c33555ceae63c9cdb7b2ca8c278f6441ea3b30d49120636fb7c5f8c2c1a02d1"},"schema_version":"1.0","source":{"id":"astro-ph/9603039","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9603039","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9603039v1","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9603039","created_at":"2026-05-18T01:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"TSL3SA6FKTVL","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TSL3SA6FKTVL5JBH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TSL3SA6F","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:2f57728675af9af68a1a34a311bca3b58d379891ec8ef319edc097e64ad9058a","target":"graph","created_at":"2026-05-18T01:40:21Z","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 develop an analytic model for the hierarchical correlation amplitudes S_j(R)= \\bxi_j(R)/\\bxi_2^{j-1}(R) of density peaks and dark matter halos in the quasi-linear regime. The statistical distribution of density peaks and dark matter halos within the initial density field are determined by the peak formalism and by an extension of the Press-Schechter formalism, respectively. Modifications of these distributions caused by gravitationally induced motions are treated using a spherical collapse model. We test our model against results from a variety of N-body simulations. The model works well fo","authors_text":"H.J. Mo (MPA, IAS), S.D.M. White (MPA), Y.P. Jing","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1996-03-11T18:55:39Z","title":"High-Order Correlations of Peaks and Halos: a Step toward Understanding Galaxy Biasing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9603039","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":"sha256:3e3a080b94fc2b0355a06191994acabc0c30a105a4dc5ed0c9b8b7f5121ebdef","target":"record","created_at":"2026-05-18T01:40:21Z","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":"ab3b2210ee5c58fa4fec5affd49ad7f62d4ff3031dced5ecf147dec32f102ace","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-03-11T18:55:39Z","title_canon_sha256":"5c33555ceae63c9cdb7b2ca8c278f6441ea3b30d49120636fb7c5f8c2c1a02d1"},"schema_version":"1.0","source":{"id":"astro-ph/9603039","kind":"arxiv","version":1}},"canonical_sha256":"9c97b903c554eabea427123679e036f212354c8c151b400f5744b947f21e7f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c97b903c554eabea427123679e036f212354c8c151b400f5744b947f21e7f39","first_computed_at":"2026-05-18T01:40:21.643630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:21.643630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tkSz49GloGxRIJ1u+ABJ5LiUXpcthjM/opGGSM4+64YyeIForPklv2ljRPndlnO6bff2V76xEcsGbb0DGQGOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:21.644129Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9603039","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e3a080b94fc2b0355a06191994acabc0c30a105a4dc5ed0c9b8b7f5121ebdef","sha256:2f57728675af9af68a1a34a311bca3b58d379891ec8ef319edc097e64ad9058a"],"state_sha256":"633857a29a5fb35354486addac47f4ead5a6524838fce1960b433ffac2ed44d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrD/cUYgw+yodUV1W81PRr8ue9lgcMkYu8Ll1wg+TneRt7PY7qN9VGPwDeHRLjaP3uprz2e/gBWmAyzyGrSnDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:11:06.567162Z","bundle_sha256":"a54e2c74894e3a01605b101ee98807b75d7b39e59e2ec160652585dfe0b58155"}}