{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:CVQVMVFZEQOW7RZ6RCDZQYEMCD","short_pith_number":"pith:CVQVMVFZ","schema_version":"1.0","canonical_sha256":"15615654b9241d6fc73e888798608c10f576cc634780ef6231a01a99746c2398","source":{"kind":"arxiv","id":"2004.01042","version":3},"attestation_state":"computed","paper":{"title":"Threshold of Primordial Black Hole Formation in Nonspherical Collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Chul-Moon Yoo, Hirotada Okawa, Tomohiro Harada","submitted_at":"2020-04-01T03:14:22Z","abstract_excerpt":"We perform (3+1)-dimensional simulations of primordial black hole (PBH) formation starting from the spheroidal super-horizon perturbations. We investigate how the ellipticity (prolateness or oblateness) affects the threshold of PBH formation in terms of the peak amplitude of curvature perturbation. We find that, in the case of the radiation-dominated universe, the effect of ellipticity on the threshold is negligibly small for the large amplitude of perturbations expected for PBH formation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2004.01042","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-01T03:14:22Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b2d6dbddde12c614f2fd922afb1ec8e5f055afef2b94f7dcc75adc57dc928c88","abstract_canon_sha256":"958991b8d18d17f6e8e8dd2070f6f160626d84ab74aa7fa0ec24ede1ac65ab51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:41:13.580937Z","signature_b64":"1i3YNjOxo0RPe2vYDip4pqlicqjd0xYWRNv4hmtoCR5F+uXyekF7HYjcBMLz+CL69pRzqv9Kjc8KTiVJ6hNVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15615654b9241d6fc73e888798608c10f576cc634780ef6231a01a99746c2398","last_reissued_at":"2026-07-05T05:41:13.580463Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:41:13.580463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Threshold of Primordial Black Hole Formation in Nonspherical Collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Chul-Moon Yoo, Hirotada Okawa, Tomohiro Harada","submitted_at":"2020-04-01T03:14:22Z","abstract_excerpt":"We perform (3+1)-dimensional simulations of primordial black hole (PBH) formation starting from the spheroidal super-horizon perturbations. We investigate how the ellipticity (prolateness or oblateness) affects the threshold of PBH formation in terms of the peak amplitude of curvature perturbation. We find that, in the case of the radiation-dominated universe, the effect of ellipticity on the threshold is negligibly small for the large amplitude of perturbations expected for PBH formation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.01042","kind":"arxiv","version":3},"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/2004.01042/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2004.01042","created_at":"2026-07-05T05:41:13.580518+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.01042v3","created_at":"2026-07-05T05:41:13.580518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.01042","created_at":"2026-07-05T05:41:13.580518+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVQVMVFZEQOW","created_at":"2026-07-05T05:41:13.580518+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVQVMVFZEQOW7RZ6","created_at":"2026-07-05T05:41:13.580518+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVQVMVFZ","created_at":"2026-07-05T05:41:13.580518+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08738","citing_title":"The statistics of curvature-profile dispersion in primordial black hole formation","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD","json":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD.json","graph_json":"https://pith.science/api/pith-number/CVQVMVFZEQOW7RZ6RCDZQYEMCD/graph.json","events_json":"https://pith.science/api/pith-number/CVQVMVFZEQOW7RZ6RCDZQYEMCD/events.json","paper":"https://pith.science/paper/CVQVMVFZ"},"agent_actions":{"view_html":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD","download_json":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD.json","view_paper":"https://pith.science/paper/CVQVMVFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.01042&json=true","fetch_graph":"https://pith.science/api/pith-number/CVQVMVFZEQOW7RZ6RCDZQYEMCD/graph.json","fetch_events":"https://pith.science/api/pith-number/CVQVMVFZEQOW7RZ6RCDZQYEMCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD/action/storage_attestation","attest_author":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD/action/author_attestation","sign_citation":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD/action/citation_signature","submit_replication":"https://pith.science/pith/CVQVMVFZEQOW7RZ6RCDZQYEMCD/action/replication_record"}},"created_at":"2026-07-05T05:41:13.580518+00:00","updated_at":"2026-07-05T05:41:13.580518+00:00"}