{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:G6UXO2ZSA3K3ZM6HFUYNXPUUVC","short_pith_number":"pith:G6UXO2ZS","schema_version":"1.0","canonical_sha256":"37a9776b3206d5bcb3c72d30dbbe94a8babf806ddecf626c690c0592ab3123de","source":{"kind":"arxiv","id":"1201.2379","version":3},"attestation_state":"computed","paper":{"title":"Primordial black hole formation in the early universe: critical behaviour and self-similarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Ilia Musco, John C. Miller","submitted_at":"2012-01-11T19:03:42Z","abstract_excerpt":"Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at making contact with some of the basic underlying ideas from the literature on critical collapse. We focus on the intermediate state, which we have found appearing in cases with perturbations close to the critical limit, and examine the connection between this and the similarity solutions which play a fundamental role in the standard picture of critical collapse"},"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":"1201.2379","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-11T19:03:42Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"9393ab812de878ebc081457ec6401cefb03d6dfdcfa105ae26ffdf79ef1cf2e2","abstract_canon_sha256":"6fc78e4152bfa945b741108d732394db1129da38da0cd34e81a241e72b46ce34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:08.615351Z","signature_b64":"JYaqDW7XFBcParibIGFkuG4H5TFJtRNYE9/9RRcn2+ify0nvGXWXO3NG5XHFW9qMF0qz5OufZcCHuTQYu0mrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37a9776b3206d5bcb3c72d30dbbe94a8babf806ddecf626c690c0592ab3123de","last_reissued_at":"2026-05-18T03:05:08.614701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:08.614701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial black hole formation in the early universe: critical behaviour and self-similarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Ilia Musco, John C. Miller","submitted_at":"2012-01-11T19:03:42Z","abstract_excerpt":"Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at making contact with some of the basic underlying ideas from the literature on critical collapse. We focus on the intermediate state, which we have found appearing in cases with perturbations close to the critical limit, and examine the connection between this and the similarity solutions which play a fundamental role in the standard picture of critical collapse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2379","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":""},"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":"1201.2379","created_at":"2026-05-18T03:05:08.614812+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.2379v3","created_at":"2026-05-18T03:05:08.614812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2379","created_at":"2026-05-18T03:05:08.614812+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6UXO2ZSA3K3","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6UXO2ZSA3K3ZM6H","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6UXO2ZS","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2502.20166","citing_title":"Numerical simulations of density perturbation and gravitational wave production from cosmological first-order phase transition","ref_index":82,"is_internal_anchor":true},{"citing_arxiv_id":"2503.01962","citing_title":"Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves","ref_index":75,"is_internal_anchor":true},{"citing_arxiv_id":"2504.11275","citing_title":"Relic gravitational waves from primordial gravitational collapses","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2605.21474","citing_title":"Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component","ref_index":266,"is_internal_anchor":true},{"citing_arxiv_id":"2109.01398","citing_title":"Scalar induced gravitational waves review","ref_index":212,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26005","citing_title":"Asteroid-mass Primordial Black Holes as Dark Matter from Supersymmetry","ref_index":96,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22731","citing_title":"Precision Analysis for $\\boldsymbol{H_0}$ Using Upcoming Multi-band Gravitational Wave Observations","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2604.17083","citing_title":"Dark ages bounds on non-accreting massive compact halo objects","ref_index":97,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC","json":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC.json","graph_json":"https://pith.science/api/pith-number/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/graph.json","events_json":"https://pith.science/api/pith-number/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/events.json","paper":"https://pith.science/paper/G6UXO2ZS"},"agent_actions":{"view_html":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC","download_json":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC.json","view_paper":"https://pith.science/paper/G6UXO2ZS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.2379&json=true","fetch_graph":"https://pith.science/api/pith-number/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/graph.json","fetch_events":"https://pith.science/api/pith-number/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/action/storage_attestation","attest_author":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/action/author_attestation","sign_citation":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/action/citation_signature","submit_replication":"https://pith.science/pith/G6UXO2ZSA3K3ZM6HFUYNXPUUVC/action/replication_record"}},"created_at":"2026-05-18T03:05:08.614812+00:00","updated_at":"2026-05-18T03:05:08.614812+00:00"}