{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:KD2LXODQXC42G77HFEBXEU5JSG","short_pith_number":"pith:KD2LXODQ","schema_version":"1.0","canonical_sha256":"50f4bbb870b8b9a37fe729037253a99182ea2b93e98f639a67254cbad7f2ddbf","source":{"kind":"arxiv","id":"2412.07709","version":3},"attestation_state":"computed","paper":{"title":"Unexpected shape of the primordial black hole mass function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Cristiano Germani, Jacopo Fumagalli, Jaume Garriga, Ravi K. Sheth","submitted_at":"2024-12-10T17:57:39Z","abstract_excerpt":"In a Universe with nearly-Gaussian initial curvature perturbations, the abundance of primordial black holes can be derived from the curvature power spectrum. When the latter is enhanced within a narrow range around a characteristic scale, the resulting mass function has a single distinct peak, corresponding to Schwarzschild radii set by the horizon entry time of that scale. In contrast, we show (both numerically and by providing an analytic estimation) that a broad enhancement - such as a plateau bounded by infrared and ultraviolet scales - produces a bimodal mass function, with a primary peak"},"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":"2412.07709","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-12-10T17:57:39Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"0b1182069306c3af7f058fde3f0d1f92a98c6747727033776e3f17f2ef771a3f","abstract_canon_sha256":"e19cbdda9667ee36d561b5a81d2676360555d1c3e91d79b9834e1d39ad9053f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:25.114567Z","signature_b64":"FSX7wA+YmoKYAQZ31RqlID4wii+JMh7TG0a5MN8a3xf+ZgyOxTV8Njwz2A5MVIQHXnqH7Qb32evvUdUpFuqKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50f4bbb870b8b9a37fe729037253a99182ea2b93e98f639a67254cbad7f2ddbf","last_reissued_at":"2026-07-05T11:26:25.114083Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:25.114083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unexpected shape of the primordial black hole mass function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Cristiano Germani, Jacopo Fumagalli, Jaume Garriga, Ravi K. Sheth","submitted_at":"2024-12-10T17:57:39Z","abstract_excerpt":"In a Universe with nearly-Gaussian initial curvature perturbations, the abundance of primordial black holes can be derived from the curvature power spectrum. When the latter is enhanced within a narrow range around a characteristic scale, the resulting mass function has a single distinct peak, corresponding to Schwarzschild radii set by the horizon entry time of that scale. In contrast, we show (both numerically and by providing an analytic estimation) that a broad enhancement - such as a plateau bounded by infrared and ultraviolet scales - produces a bimodal mass function, with a primary peak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.07709","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/2412.07709/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":"2412.07709","created_at":"2026-07-05T11:26:25.114140+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.07709v3","created_at":"2026-07-05T11:26:25.114140+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.07709","created_at":"2026-07-05T11:26:25.114140+00:00"},{"alias_kind":"pith_short_12","alias_value":"KD2LXODQXC42","created_at":"2026-07-05T11:26:25.114140+00:00"},{"alias_kind":"pith_short_16","alias_value":"KD2LXODQXC42G77H","created_at":"2026-07-05T11:26:25.114140+00:00"},{"alias_kind":"pith_short_8","alias_value":"KD2LXODQ","created_at":"2026-07-05T11:26:25.114140+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17617","citing_title":"Synergy between CSST and future gravitational-wave detectors: Probing primordial black holes by cross-correlating dark sirens with galaxies","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30087","citing_title":"Compaction function in stochastic inflation: a \\texttt{FOREST} of type I and II primordial black holes","ref_index":81,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG","json":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG.json","graph_json":"https://pith.science/api/pith-number/KD2LXODQXC42G77HFEBXEU5JSG/graph.json","events_json":"https://pith.science/api/pith-number/KD2LXODQXC42G77HFEBXEU5JSG/events.json","paper":"https://pith.science/paper/KD2LXODQ"},"agent_actions":{"view_html":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG","download_json":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG.json","view_paper":"https://pith.science/paper/KD2LXODQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.07709&json=true","fetch_graph":"https://pith.science/api/pith-number/KD2LXODQXC42G77HFEBXEU5JSG/graph.json","fetch_events":"https://pith.science/api/pith-number/KD2LXODQXC42G77HFEBXEU5JSG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG/action/storage_attestation","attest_author":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG/action/author_attestation","sign_citation":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG/action/citation_signature","submit_replication":"https://pith.science/pith/KD2LXODQXC42G77HFEBXEU5JSG/action/replication_record"}},"created_at":"2026-07-05T11:26:25.114140+00:00","updated_at":"2026-07-05T11:26:25.114140+00:00"}