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Evaluating the angular momentum at turn around based on linearly extrapolated transfer functions and peak theory, we obtain the expression $\\sqrt{\\langle a_{*}^{2} \\rangle} \\simeq 4.0\\times 10^{-3} (M/M_{H})^{-1/3}\\sqrt{1-\\gamma^{2}}[1-0.072 \\log_{10}(\\beta_{0}(M_{H})/(1.3\\times 10^{-15}))]^{-1}$, where $M_{H}$, $\\beta_{0}(M_{H})$, and $\\ga"},"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":"2011.00710","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-11-02T03:47:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4775d587971e3a4c51b2cf088f820b780bf7918f0f6ac3189af84d187fcd98ac","abstract_canon_sha256":"97f96d5c1b1a84da05f8470d2b9f18675f6c6e647fb79f6035ba4ec4dd9f6123"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:19:37.193800Z","signature_b64":"31EzoRw80ZkZF7wfe6/X2YhZgZHl3T/xw88OdaYCFEwsjdNV9nPxiosNqtc+W3+S53gjoUEBNsHIERogSWXoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e336f40c62e97e40c23616af5db2009aa996a1b8ae022b8fdb2a8abdeb7a3906","last_reissued_at":"2026-07-05T02:19:37.193312Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:19:37.193312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spins of primordial black holes formed in the radiation-dominated phase of the universe: first-order effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Chul-Moon Yoo, Kazunori Kohri, Takeru Monobe, Tomohiro Harada, Yasutaka Koga","submitted_at":"2020-11-02T03:47:20Z","abstract_excerpt":"The standard deviation of the initial values of the nondimensional Kerr parameter $a_{*}$ of primordial black holes (PBHs) formed in the radiation-dominated phase of the universe is estimated to the first order of perturbation for the narrow power spectrum. 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