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For a loop with invariant length $L$ which contracts to within a sphere of radius $R$, the minimum mass-per-unit length $\\mu_{\\rm min}$ necessary for the cosmic string loop to form a black hole according to the hoop conjecture is $\\mu_{\\rm min} = R /(2 G L)$. Analyzing $25,576$ loops, we obtain the empirical es"},"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":"gr-qc/9509012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1995-09-06T16:35:44Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"c045a02edc7fcc1b31f8b78f391c4b441a623ea90cb090b1a85955ee2186b517","abstract_canon_sha256":"64519bb4725786620d8118a4544c83d905d331bc61846a83ae2ee32d24606e99"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:50.415182Z","signature_b64":"tUgoCmFCC/wftcZlf4Lfo/fR2fcHUrAARmd3RFtuOHbW2F6dc37FkLW8cZi8g4krmcaMqpi2hBCAfH4Rj3MYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfd0cf07f98485c70812cec60986b828a2f6b8376125d9ebde0140f9aacff8ec","last_reissued_at":"2026-07-04T15:58:50.414814Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:50.414814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Formation of Black Holes from Collapsed Cosmic String Loops","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"R. 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