{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EZ5L6X4N4RJRBBUGH33HCXYBD5","short_pith_number":"pith:EZ5L6X4N","canonical_record":{"source":{"id":"1401.7335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-28T21:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"6f3134743b039ef99bb6352f26e813dce98ff1b975a8876089b627f9e89ad0ff","abstract_canon_sha256":"d400abed8ed8653e397ca3cfda8327e04b194718ed85b944e923ab7137fdc1ff"},"schema_version":"1.0"},"canonical_sha256":"267abf5f8de4531086863ef6715f011f71e2327063583e13b45c7fbe19b7a8fb","source":{"kind":"arxiv","id":"1401.7335","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7335","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7335v1","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7335","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"pith_short_12","alias_value":"EZ5L6X4N4RJR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZ5L6X4N4RJRBBUG","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZ5L6X4N","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EZ5L6X4N4RJRBBUGH33HCXYBD5","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-28T21:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"6f3134743b039ef99bb6352f26e813dce98ff1b975a8876089b627f9e89ad0ff","abstract_canon_sha256":"d400abed8ed8653e397ca3cfda8327e04b194718ed85b944e923ab7137fdc1ff"},"schema_version":"1.0"},"canonical_sha256":"267abf5f8de4531086863ef6715f011f71e2327063583e13b45c7fbe19b7a8fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:16.531901Z","signature_b64":"4UwWTARY7fDj4eIKRovCpRUtmN73QQvVYPdbG+7w4U2EBPczFDadfBG5vpfYtEZ+l5S2t9XUqsLmgkK8zlQlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"267abf5f8de4531086863ef6715f011f71e2327063583e13b45c7fbe19b7a8fb","last_reissued_at":"2026-05-18T02:57:16.531389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:16.531389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7335","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":"2026-05-18T02:57:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qv8cX/4sxNtWYR3gW4hRKag5TWXZStna6hIpDirfSikS6kdNxlaqByuZAwojJFHoqaPYlgm7wM3JHHf2FRsLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:01:04.146551Z"},"content_sha256":"e8a12090ac485047f7720a377c0f1a38e187b23e226dbe9c1e510bfc20c7dc23","schema_version":"1.0","event_id":"sha256:e8a12090ac485047f7720a377c0f1a38e187b23e226dbe9c1e510bfc20c7dc23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EZ5L6X4N4RJRBBUGH33HCXYBD5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fixing a Rigorous Formalism for the Accurate Analytic Derivation of Halo Properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alberto Manrique (1) ((1) Institut de Ci\\`encies del Cosmos. Universitat de Barcelona. UB-IEEC. Barcelona, Eduard Salvador-Sol\\'e (1), Enric Juan (1), Guillem Dom\\`enech (1), Spain)","submitted_at":"2014-01-28T21:00:37Z","abstract_excerpt":"We establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous formalism for the analytic derivation of halo properties from the linear power spectrum of density perturbations in any hierarchical cosmology. The typical spherically averaged density profile and mass function of haloes so obtained match those found in numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7335","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":"2026-05-18T02:57:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RnfxN53q0CSBRFO3l4JyCk5UdNdCkFFq0oTA3pgp42Z+VT0Ds+7cJ3sWyqtLy/CS1RND+nYD/37qZI01yJkhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:01:04.146911Z"},"content_sha256":"ec0362b9e669d56466f3de5573afe46567a75029ba199be1b969608c0bdf3b1a","schema_version":"1.0","event_id":"sha256:ec0362b9e669d56466f3de5573afe46567a75029ba199be1b969608c0bdf3b1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/bundle.json","state_url":"https://pith.science/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/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":"2026-06-04T19:01:04Z","links":{"resolver":"https://pith.science/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5","bundle":"https://pith.science/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/bundle.json","state":"https://pith.science/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZ5L6X4N4RJRBBUGH33HCXYBD5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EZ5L6X4N4RJRBBUGH33HCXYBD5","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":"d400abed8ed8653e397ca3cfda8327e04b194718ed85b944e923ab7137fdc1ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-28T21:00:37Z","title_canon_sha256":"6f3134743b039ef99bb6352f26e813dce98ff1b975a8876089b627f9e89ad0ff"},"schema_version":"1.0","source":{"id":"1401.7335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7335","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7335v1","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7335","created_at":"2026-05-18T02:57:16Z"},{"alias_kind":"pith_short_12","alias_value":"EZ5L6X4N4RJR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZ5L6X4N4RJRBBUG","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZ5L6X4N","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:ec0362b9e669d56466f3de5573afe46567a75029ba199be1b969608c0bdf3b1a","target":"graph","created_at":"2026-05-18T02:57:16Z","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 establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous formalism for the analytic derivation of halo properties from the linear power spectrum of density perturbations in any hierarchical cosmology. The typical spherically averaged density profile and mass function of haloes so obtained match those found in numerical simulations.","authors_text":"Alberto Manrique (1) ((1) Institut de Ci\\`encies del Cosmos. Universitat de Barcelona. UB-IEEC. Barcelona, Eduard Salvador-Sol\\'e (1), Enric Juan (1), Guillem Dom\\`enech (1), Spain)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-28T21:00:37Z","title":"Fixing a Rigorous Formalism for the Accurate Analytic Derivation of Halo Properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7335","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:e8a12090ac485047f7720a377c0f1a38e187b23e226dbe9c1e510bfc20c7dc23","target":"record","created_at":"2026-05-18T02:57:16Z","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":"d400abed8ed8653e397ca3cfda8327e04b194718ed85b944e923ab7137fdc1ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-28T21:00:37Z","title_canon_sha256":"6f3134743b039ef99bb6352f26e813dce98ff1b975a8876089b627f9e89ad0ff"},"schema_version":"1.0","source":{"id":"1401.7335","kind":"arxiv","version":1}},"canonical_sha256":"267abf5f8de4531086863ef6715f011f71e2327063583e13b45c7fbe19b7a8fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"267abf5f8de4531086863ef6715f011f71e2327063583e13b45c7fbe19b7a8fb","first_computed_at":"2026-05-18T02:57:16.531389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:16.531389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4UwWTARY7fDj4eIKRovCpRUtmN73QQvVYPdbG+7w4U2EBPczFDadfBG5vpfYtEZ+l5S2t9XUqsLmgkK8zlQlAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:16.531901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8a12090ac485047f7720a377c0f1a38e187b23e226dbe9c1e510bfc20c7dc23","sha256:ec0362b9e669d56466f3de5573afe46567a75029ba199be1b969608c0bdf3b1a"],"state_sha256":"e03bf8e8f01b146d39a2fb2166ee964be677ef29ce14d747419b6b40134718d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8LlC1+qREjvmTfaG7uHzJ8demHTDI4HJ4+VHShSwFveOTZirWYqZG8SyYwBN0B8IPdD2FtUbK7tdQEvRoMS+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:01:04.148806Z","bundle_sha256":"5fedc9dffef43085c8fb5de8509371bedd0ad08df38ea944fcb8f6cf6fc6817d"}}