{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CE7SLLOXPWP6B3ANJDYJ7ZABSX","short_pith_number":"pith:CE7SLLOX","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"},"canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","source":{"kind":"arxiv","id":"2302.06886","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06886","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06886v1","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06886","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"CE7SLLOXPWP6","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_16","alias_value":"CE7SLLOXPWP6B3AN","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_8","alias_value":"CE7SLLOX","created_at":"2026-07-05T05:41:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CE7SLLOXPWP6B3ANJDYJ7ZABSX","target":"record","payload":{"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"},"canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","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"},"source_kind":"arxiv","source_id":"2302.06886","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:41:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uHesCkjFrfD8UlvBUguZTgttQ9Z6Dipim2u+CVbPVe9EgECFR1YIqSAs1RJirp7maifxZFgUI39PSkCoPGApDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:01:00.961987Z"},"content_sha256":"aebf885ac48cff316b0e370b8147b0eb89462e3afa13985d28688ab2aa3406f1","schema_version":"1.0","event_id":"sha256:aebf885ac48cff316b0e370b8147b0eb89462e3afa13985d28688ab2aa3406f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CE7SLLOXPWP6B3ANJDYJ7ZABSX","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:41:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDlcRUw2zJLh9smcrXJEGFIZg5S7tYtIEBe39CGLiqt8L/RAI6zrIZamrGBTq+l3+tpMC9eU+/0M/MBfrpxeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T13:01:00.962375Z"},"content_sha256":"308036614d5b0cc7ad88f47300b5634b9d40949707b9f76491d4dbb92f173a2a","schema_version":"1.0","event_id":"sha256:308036614d5b0cc7ad88f47300b5634b9d40949707b9f76491d4dbb92f173a2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/bundle.json","state_url":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T13:01:00Z","links":{"resolver":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX","bundle":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/bundle.json","state":"https://pith.science/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CE7SLLOXPWP6B3ANJDYJ7ZABSX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CE7SLLOXPWP6B3ANJDYJ7ZABSX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7101b2092b580dfb7b13618f4a6939285a549d38026087a37dc8458a9b2c48d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-02-14T08:19:04Z","title_canon_sha256":"71e9716007227f6621df55dba2ce8bffac68fee349cf47b93bfd4b35275e0f0c"},"schema_version":"1.0","source":{"id":"2302.06886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06886","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06886v1","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06886","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"CE7SLLOXPWP6","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_16","alias_value":"CE7SLLOXPWP6B3AN","created_at":"2026-07-05T05:41:44Z"},{"alias_kind":"pith_short_8","alias_value":"CE7SLLOX","created_at":"2026-07-05T05:41:44Z"}],"graph_snapshots":[{"event_id":"sha256:308036614d5b0cc7ad88f47300b5634b9d40949707b9f76491d4dbb92f173a2a","target":"graph","created_at":"2026-07-05T05:41:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.06886/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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 ","authors_text":"Ji-Xiang Zhao, Nan Li, Xiao-Hui Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-02-14T08:19:04Z","title":"Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06886","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aebf885ac48cff316b0e370b8147b0eb89462e3afa13985d28688ab2aa3406f1","target":"record","created_at":"2026-07-05T05:41:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7101b2092b580dfb7b13618f4a6939285a549d38026087a37dc8458a9b2c48d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-02-14T08:19:04Z","title_canon_sha256":"71e9716007227f6621df55dba2ce8bffac68fee349cf47b93bfd4b35275e0f0c"},"schema_version":"1.0","source":{"id":"2302.06886","kind":"arxiv","version":1}},"canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"113f25add77d9fe0ec0d48f09fe40195f26150d07ecd29adb540d7c1bc301d9d","first_computed_at":"2026-07-05T05:41:44.837325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:41:44.837325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"skHhcy6hLspOEY95Sg/Hqnebw6hIv7gnjVp9zdaoyplTwOCmix65flIsgh/LJx50ZFpRaQ0aqsIvh0qxxFn2CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:41:44.837892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.06886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aebf885ac48cff316b0e370b8147b0eb89462e3afa13985d28688ab2aa3406f1","sha256:308036614d5b0cc7ad88f47300b5634b9d40949707b9f76491d4dbb92f173a2a"],"state_sha256":"771d4ce793e5bedd982701e4fab3765672299545e24329247a33364431c4f420"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gfBfAjaOtBCknhb2c2oSltZAWv3xmteAT0WuSYV2xj1x59Hbsgr+JnjpX5W1fFu1LZtfeYIqV0SsH9+148qDCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T13:01:00.967325Z","bundle_sha256":"15ffe4ab6ae289b93905af684cc430f0079ffe98821b39cc3693cb6144f7d635"}}