{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KU3ZM5WCQNKIZBXSKWUAY7RC24","short_pith_number":"pith:KU3ZM5WC","schema_version":"1.0","canonical_sha256":"55379676c283548c86f255a80c7e22d72e0374776e1123d03681f90788808a8d","source":{"kind":"arxiv","id":"1707.09578","version":3},"attestation_state":"computed","paper":{"title":"Primordial black holes and second order gravitational waves from ultra-slow-roll inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Haoran Di, Yungui Gong","submitted_at":"2017-07-30T03:29:39Z","abstract_excerpt":"The next generation of space-borne gravitational wave detectors may detect gravitational waves from extreme mass-ratio inspirals with primordial black holes. To produce primordial black holes which contribute a non-negligible abundance of dark matter and are consistent with the observations, a large enhancement in the primordial curvature power spectrum is needed. For a single field slow-roll inflation, the enhancement requires a very flat potential for the inflaton, and this will increase the number of $e$-folds. To avoid the problem, an ultra-slow-roll inflation at the near inflection point "},"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":"1707.09578","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-07-30T03:29:39Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"dc7bba9c0d917d3e1989aa1dd6655b3360cabf14095a9278ab4624b984179c9f","abstract_canon_sha256":"f8d8711bb96e5a2526fda1708afd30501ce80ad595fa46107099b85f6ae1800e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:50.708249Z","signature_b64":"omYrMLTI4ewck+F1gDol1qeLUz8UtUugHCEimot2aVq6mtX8yOjTqrxcewgGwa6i2gnBwcYQ8DvHf5PXthhkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55379676c283548c86f255a80c7e22d72e0374776e1123d03681f90788808a8d","last_reissued_at":"2026-05-18T00:11:50.707533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:50.707533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial black holes and second order gravitational waves from ultra-slow-roll inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Haoran Di, Yungui Gong","submitted_at":"2017-07-30T03:29:39Z","abstract_excerpt":"The next generation of space-borne gravitational wave detectors may detect gravitational waves from extreme mass-ratio inspirals with primordial black holes. To produce primordial black holes which contribute a non-negligible abundance of dark matter and are consistent with the observations, a large enhancement in the primordial curvature power spectrum is needed. For a single field slow-roll inflation, the enhancement requires a very flat potential for the inflaton, and this will increase the number of $e$-folds. To avoid the problem, an ultra-slow-roll inflation at the near inflection point "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09578","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":"1707.09578","created_at":"2026-05-18T00:11:50.707672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.09578v3","created_at":"2026-05-18T00:11:50.707672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09578","created_at":"2026-05-18T00:11:50.707672+00:00"},{"alias_kind":"pith_short_12","alias_value":"KU3ZM5WCQNKI","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"KU3ZM5WCQNKIZBXS","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"KU3ZM5WC","created_at":"2026-05-18T12:31:28.150371+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2507.09552","citing_title":"Probing the scalar-induced gravitational waves with the Five-hundred-meter Aperture Spherical radio Telescope and the Square Kilometer Array","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2109.01398","citing_title":"Scalar induced gravitational waves review","ref_index":101,"is_internal_anchor":true},{"citing_arxiv_id":"2605.14044","citing_title":"The Magnetic Origin of Primordial Black Holes: Ultralight PBHs and Secondary GWs","ref_index":155,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24","json":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24.json","graph_json":"https://pith.science/api/pith-number/KU3ZM5WCQNKIZBXSKWUAY7RC24/graph.json","events_json":"https://pith.science/api/pith-number/KU3ZM5WCQNKIZBXSKWUAY7RC24/events.json","paper":"https://pith.science/paper/KU3ZM5WC"},"agent_actions":{"view_html":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24","download_json":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24.json","view_paper":"https://pith.science/paper/KU3ZM5WC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.09578&json=true","fetch_graph":"https://pith.science/api/pith-number/KU3ZM5WCQNKIZBXSKWUAY7RC24/graph.json","fetch_events":"https://pith.science/api/pith-number/KU3ZM5WCQNKIZBXSKWUAY7RC24/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24/action/storage_attestation","attest_author":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24/action/author_attestation","sign_citation":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24/action/citation_signature","submit_replication":"https://pith.science/pith/KU3ZM5WCQNKIZBXSKWUAY7RC24/action/replication_record"}},"created_at":"2026-05-18T00:11:50.707672+00:00","updated_at":"2026-05-18T00:11:50.707672+00:00"}