{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DKUWDYTM7OPAUAEF5M5YDAR7GK","short_pith_number":"pith:DKUWDYTM","canonical_record":{"source":{"id":"2104.07318","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-15T09:15:35Z","cross_cats_sorted":[],"title_canon_sha256":"b0445898dcabb4883165eaa8e8504f0af9176473456db81c9c0fdd7324161ca8","abstract_canon_sha256":"15d15153976c726594782a0d8c87dd8225e7954d936fe1353e566c8fd3c694fa"},"schema_version":"1.0"},"canonical_sha256":"1aa961e26cfb9e0a0085eb3b81823f3295442ec2a59f957b1fe0064c207cd4ce","source":{"kind":"arxiv","id":"2104.07318","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.07318","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"2104.07318v4","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.07318","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"DKUWDYTM7OPA","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_16","alias_value":"DKUWDYTM7OPAUAEF","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_8","alias_value":"DKUWDYTM","created_at":"2026-07-05T05:16:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DKUWDYTM7OPAUAEF5M5YDAR7GK","target":"record","payload":{"canonical_record":{"source":{"id":"2104.07318","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-15T09:15:35Z","cross_cats_sorted":[],"title_canon_sha256":"b0445898dcabb4883165eaa8e8504f0af9176473456db81c9c0fdd7324161ca8","abstract_canon_sha256":"15d15153976c726594782a0d8c87dd8225e7954d936fe1353e566c8fd3c694fa"},"schema_version":"1.0"},"canonical_sha256":"1aa961e26cfb9e0a0085eb3b81823f3295442ec2a59f957b1fe0064c207cd4ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:16:30.603778Z","signature_b64":"1jv50Xce5cWd/ys/UFs3+KFVNo/GIvs5NIEpx1dbWKIumXjdxUQKYlHSxF7GiWh1EGQLZ+ru9+f3k3q0ZSmUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa961e26cfb9e0a0085eb3b81823f3295442ec2a59f957b1fe0064c207cd4ce","last_reissued_at":"2026-07-05T05:16:30.603283Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:16:30.603283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.07318","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":"2026-07-05T05:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vx9Jsz6FcUydtlZXvCEQva04wTZCh6F3bl+ShXxmd+HiO6l94hly4jBc+5sFEBbXb7c6dr2O/IukkYJarcntAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:38:06.304151Z"},"content_sha256":"891aca8eab4fb815d23ab8c838b57d70eda570888c83802944248880ae752365","schema_version":"1.0","event_id":"sha256:891aca8eab4fb815d23ab8c838b57d70eda570888c83802944248880ae752365"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DKUWDYTM7OPAUAEF5M5YDAR7GK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Culminating the peak CUSP to descry the dark side of halos","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alberto Manrique, Eduard Salvador-Sol\\'e","submitted_at":"2021-04-15T09:15:35Z","abstract_excerpt":"The ConflUent System of Peak trajectories (CUSP) is a rigorous formalism in the framework of the peak theory that allows one to derive from first principles andno free parameters the typical halo properties from the statistics of peaks in the filtered Gaussian random field of density perturbations. The predicted halo mass function, spherically averaged density, velocity dispersion, velocity anisotropy, ellipticity, prolateness and potential profiles, as well as the abundance and number density profiles of accreted and stripped subhalos and diffuse dark matter accurately recover the results of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.07318","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/2104.07318/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":"2026-07-05T05:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CPAcbocjUiJTqSzDl8zIJJh+bSOmbQAXhk5IFmKtAkvrDrIl1lm5YNhvDAQw8aSRNnT7ZS7FXl4tOLBIZDGwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:38:06.304693Z"},"content_sha256":"9b2db60c4b84ee4323d9241a6ad9d8fa076e5be2fe728c5c7067c549a8dfc7c7","schema_version":"1.0","event_id":"sha256:9b2db60c4b84ee4323d9241a6ad9d8fa076e5be2fe728c5c7067c549a8dfc7c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/bundle.json","state_url":"https://pith.science/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/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":"2026-08-14T06:38:06Z","links":{"resolver":"https://pith.science/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK","bundle":"https://pith.science/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/bundle.json","state":"https://pith.science/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKUWDYTM7OPAUAEF5M5YDAR7GK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DKUWDYTM7OPAUAEF5M5YDAR7GK","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":"15d15153976c726594782a0d8c87dd8225e7954d936fe1353e566c8fd3c694fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-15T09:15:35Z","title_canon_sha256":"b0445898dcabb4883165eaa8e8504f0af9176473456db81c9c0fdd7324161ca8"},"schema_version":"1.0","source":{"id":"2104.07318","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.07318","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"2104.07318v4","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.07318","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"DKUWDYTM7OPA","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_16","alias_value":"DKUWDYTM7OPAUAEF","created_at":"2026-07-05T05:16:30Z"},{"alias_kind":"pith_short_8","alias_value":"DKUWDYTM","created_at":"2026-07-05T05:16:30Z"}],"graph_snapshots":[{"event_id":"sha256:9b2db60c4b84ee4323d9241a6ad9d8fa076e5be2fe728c5c7067c549a8dfc7c7","target":"graph","created_at":"2026-07-05T05:16:30Z","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/2104.07318/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The ConflUent System of Peak trajectories (CUSP) is a rigorous formalism in the framework of the peak theory that allows one to derive from first principles andno free parameters the typical halo properties from the statistics of peaks in the filtered Gaussian random field of density perturbations. The predicted halo mass function, spherically averaged density, velocity dispersion, velocity anisotropy, ellipticity, prolateness and potential profiles, as well as the abundance and number density profiles of accreted and stripped subhalos and diffuse dark matter accurately recover the results of ","authors_text":"Alberto Manrique, Eduard Salvador-Sol\\'e","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-15T09:15:35Z","title":"Culminating the peak CUSP to descry the dark side of halos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.07318","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":"sha256:891aca8eab4fb815d23ab8c838b57d70eda570888c83802944248880ae752365","target":"record","created_at":"2026-07-05T05:16:30Z","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":"15d15153976c726594782a0d8c87dd8225e7954d936fe1353e566c8fd3c694fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-15T09:15:35Z","title_canon_sha256":"b0445898dcabb4883165eaa8e8504f0af9176473456db81c9c0fdd7324161ca8"},"schema_version":"1.0","source":{"id":"2104.07318","kind":"arxiv","version":4}},"canonical_sha256":"1aa961e26cfb9e0a0085eb3b81823f3295442ec2a59f957b1fe0064c207cd4ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa961e26cfb9e0a0085eb3b81823f3295442ec2a59f957b1fe0064c207cd4ce","first_computed_at":"2026-07-05T05:16:30.603283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:16:30.603283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1jv50Xce5cWd/ys/UFs3+KFVNo/GIvs5NIEpx1dbWKIumXjdxUQKYlHSxF7GiWh1EGQLZ+ru9+f3k3q0ZSmUAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:16:30.603778Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.07318","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:891aca8eab4fb815d23ab8c838b57d70eda570888c83802944248880ae752365","sha256:9b2db60c4b84ee4323d9241a6ad9d8fa076e5be2fe728c5c7067c549a8dfc7c7"],"state_sha256":"f37d2d7987bb52de452ea9aef33d8dcfbc683790fc2e9e99e02fccdc1962153c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tibQutjAKZ7k7P5+16tka3YsgunxChK48hphtGZhrlumNvi6vEDhmmf4TfTYfADQKEpzhIkaXWGx0Tg7ZbK/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T06:38:06.310158Z","bundle_sha256":"3e2ad83cd80c98eeb745e645db80ec1bfa45b1a7f1a37446603033ef8b978fba"}}