{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:CE7SLLOXPWP6B3ANJDYJ7ZABSX","short_pith_number":"pith:CE7SLLOX","schema_version":"1.0","canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","source":{"kind":"arxiv","id":"2302.06886","version":1},"attestation_state":"computed","paper":{"title":"Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Ji-Xiang Zhao, Nan Li, Xiao-Hui Liu","submitted_at":"2023-02-14T08:19:04Z","abstract_excerpt":"A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum ${\\cal P}_{\\cal R}(k)$ of the primordial curvature perturbation on small scales. Such an enhanced ${\\cal P}_{\\cal R}(k)$ will result in primordial black holes (PBHs), contributing a significant fraction of dark matter, and will simultaneously generate sizable scalar-induced gravitational waves (SIGWs) as a secondorder effect. In this work, we calculate the PBH abundances $f_{\\rm PBH}(M)$ and SIGW spectra $\\Omega_{\\rm GW}(f)$ in peak theory. We "},"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":"2302.06886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-02-14T08:19:04Z","cross_cats_sorted":[],"title_canon_sha256":"71e9716007227f6621df55dba2ce8bffac68fee349cf47b93bfd4b35275e0f0c","abstract_canon_sha256":"7101b2092b580dfb7b13618f4a6939285a549d38026087a37dc8458a9b2c48d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:41:44.837892Z","signature_b64":"skHhcy6hLspOEY95Sg/Hqnebw6hIv7gnjVp9zdaoyplTwOCmix65flIsgh/LJx50ZFpRaQ0aqsIvh0qxxFn2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","last_reissued_at":"2026-07-05T05:41:44.837325Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:41:44.837325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Ji-Xiang Zhao, Nan Li, Xiao-Hui Liu","submitted_at":"2023-02-14T08:19:04Z","abstract_excerpt":"A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum ${\\cal P}_{\\cal R}(k)$ of the primordial curvature perturbation on small scales. Such an enhanced ${\\cal P}_{\\cal R}(k)$ will result in primordial black holes (PBHs), contributing a significant fraction of dark matter, and will simultaneously generate sizable scalar-induced gravitational waves (SIGWs) as a secondorder effect. In this work, we calculate the PBH abundances $f_{\\rm PBH}(M)$ and SIGW spectra $\\Omega_{\\rm GW}(f)$ in peak theory. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06886","kind":"arxiv","version":1},"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/2302.06886/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":"2302.06886","created_at":"2026-07-05T05:41:44.837378+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.06886v1","created_at":"2026-07-05T05:41:44.837378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06886","created_at":"2026-07-05T05:41:44.837378+00:00"},{"alias_kind":"pith_short_12","alias_value":"CE7SLLOXPWP6","created_at":"2026-07-05T05:41:44.837378+00:00"},{"alias_kind":"pith_short_16","alias_value":"CE7SLLOXPWP6B3AN","created_at":"2026-07-05T05:41:44.837378+00:00"},{"alias_kind":"pith_short_8","alias_value":"CE7SLLOX","created_at":"2026-07-05T05:41:44.837378+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.31362","citing_title":"Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension","ref_index":56,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX","json":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX.json","graph_json":"https://pith.science/api/pith-number/CE7SLLOXPWP6B3ANJDYJ7ZABSX/graph.json","events_json":"https://pith.science/api/pith-number/CE7SLLOXPWP6B3ANJDYJ7ZABSX/events.json","paper":"https://pith.science/paper/CE7SLLOX"},"agent_actions":{"view_html":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX","download_json":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX.json","view_paper":"https://pith.science/paper/CE7SLLOX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.06886&json=true","fetch_graph":"https://pith.science/api/pith-number/CE7SLLOXPWP6B3ANJDYJ7ZABSX/graph.json","fetch_events":"https://pith.science/api/pith-number/CE7SLLOXPWP6B3ANJDYJ7ZABSX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/action/storage_attestation","attest_author":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/action/author_attestation","sign_citation":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/action/citation_signature","submit_replication":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/action/replication_record"}},"created_at":"2026-07-05T05:41:44.837378+00:00","updated_at":"2026-07-05T05:41:44.837378+00:00"}