{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:GZBJSHE3WQXN7Q53Z7ILNZEZYN","short_pith_number":"pith:GZBJSHE3","schema_version":"1.0","canonical_sha256":"3642991c9bb42edfc3bbcfd0b6e499c36423ed646d146ee60a5fe0b712c9c559","source":{"kind":"arxiv","id":"2110.00005","version":2},"attestation_state":"computed","paper":{"title":"Detailed Calculation of Primordial Black Hole Formation During First-Order Cosmological Phase Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Joachim Kopp, Lukas Mittnacht, Michael J. Baker, Moritz Breitbach","submitted_at":"2021-09-30T18:00:00Z","abstract_excerpt":"Primordial black holes could potentially form during a first-order cosmological phase transition due to a build-up of particles which are predominantly reflected from the advancing bubble walls. After discussing the general mechanism, we examine the criteria that need to be satisfied for a black hole to form. We then set out the Boltzmann equation that describes the evolution of the relevant phase space distribution function, carefully describing our treatment of the Liouville operator and the collision term. Assuming a spherical false vacuum pocket of sufficient size and a constant wall veloc"},"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":"2110.00005","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-09-30T18:00:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"a94f8f9abd027c75868c32827bd95f357982d5839f682109be2b36f4c61ebc29","abstract_canon_sha256":"8ac20ff8af19af88ae917027abc213c380aa628f29907bfaf4b30a125c9812bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:55:34.067414Z","signature_b64":"oWFqM/Ybtz+GD+yasvUa8RiorkARvDDj3yGuHTxiq69/8c1NRwp+K5X1kd4/ozJjQx9ZtY8mecoEK12CO2B9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3642991c9bb42edfc3bbcfd0b6e499c36423ed646d146ee60a5fe0b712c9c559","last_reissued_at":"2026-07-05T11:55:34.066875Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:55:34.066875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detailed Calculation of Primordial Black Hole Formation During First-Order Cosmological Phase Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Joachim Kopp, Lukas Mittnacht, Michael J. Baker, Moritz Breitbach","submitted_at":"2021-09-30T18:00:00Z","abstract_excerpt":"Primordial black holes could potentially form during a first-order cosmological phase transition due to a build-up of particles which are predominantly reflected from the advancing bubble walls. After discussing the general mechanism, we examine the criteria that need to be satisfied for a black hole to form. We then set out the Boltzmann equation that describes the evolution of the relevant phase space distribution function, carefully describing our treatment of the Liouville operator and the collision term. Assuming a spherical false vacuum pocket of sufficient size and a constant wall veloc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.00005","kind":"arxiv","version":2},"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/2110.00005/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":"2110.00005","created_at":"2026-07-05T11:55:34.066948+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.00005v2","created_at":"2026-07-05T11:55:34.066948+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.00005","created_at":"2026-07-05T11:55:34.066948+00:00"},{"alias_kind":"pith_short_12","alias_value":"GZBJSHE3WQXN","created_at":"2026-07-05T11:55:34.066948+00:00"},{"alias_kind":"pith_short_16","alias_value":"GZBJSHE3WQXN7Q53","created_at":"2026-07-05T11:55:34.066948+00:00"},{"alias_kind":"pith_short_8","alias_value":"GZBJSHE3","created_at":"2026-07-05T11:55:34.066948+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.07505","citing_title":"Primordial Black Hole Triggered Type Ia Supernovae II: Comparison with Supernova Remnants and Galactic Chemical Evolution","ref_index":178,"is_internal_anchor":false},{"citing_arxiv_id":"2606.06587","citing_title":"A New Origin of the Big Bang from Dark-Sector-Induced Vacuum Decay and Its Gravitational-Wave Signal","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30760","citing_title":"Rich Phenomenology from Simple Ingredients: A Review of Confining Dark Sectors","ref_index":217,"is_internal_anchor":false},{"citing_arxiv_id":"2506.15496","citing_title":"Thermodynamical uncertainties for primordial black holes from cosmological phase transitions","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2602.20246","citing_title":"Supercooled Phase Transitions with Radiative Symmetry Breaking","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21474","citing_title":"Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component","ref_index":102,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN","json":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN.json","graph_json":"https://pith.science/api/pith-number/GZBJSHE3WQXN7Q53Z7ILNZEZYN/graph.json","events_json":"https://pith.science/api/pith-number/GZBJSHE3WQXN7Q53Z7ILNZEZYN/events.json","paper":"https://pith.science/paper/GZBJSHE3"},"agent_actions":{"view_html":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN","download_json":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN.json","view_paper":"https://pith.science/paper/GZBJSHE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.00005&json=true","fetch_graph":"https://pith.science/api/pith-number/GZBJSHE3WQXN7Q53Z7ILNZEZYN/graph.json","fetch_events":"https://pith.science/api/pith-number/GZBJSHE3WQXN7Q53Z7ILNZEZYN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN/action/storage_attestation","attest_author":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN/action/author_attestation","sign_citation":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN/action/citation_signature","submit_replication":"https://pith.science/pith/GZBJSHE3WQXN7Q53Z7ILNZEZYN/action/replication_record"}},"created_at":"2026-07-05T11:55:34.066948+00:00","updated_at":"2026-07-05T11:55:34.066948+00:00"}