{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QY25IOFUHPJ43CQL427LDKWRF7","short_pith_number":"pith:QY25IOFU","schema_version":"1.0","canonical_sha256":"8635d438b43bd3cd8a0be6beb1aad12fde2d393736f126f1b6bcb51792759379","source":{"kind":"arxiv","id":"2304.10903","version":2},"attestation_state":"computed","paper":{"title":"Stochastic constant-roll inflation and primordial black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Eemeli Tomberg","submitted_at":"2023-04-21T11:41:02Z","abstract_excerpt":"Stochastic inflation resolves primordial perturbations non-linearly, probing their probability distribution deep into its non-Gaussian tail. The strongest perturbations collapse into primordial black holes. In typical black-hole-producing single-field inflation, the strongest stochastic kicks occur during a period of constant roll. In this paper, I solve the stochastic constant-roll system, drawing the stochastic kicks from a numerically computed power spectrum, beyond the usual de Sitter approximation. The perturbation probability distribution is an analytical function of the integrated curva"},"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":"2304.10903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-04-21T11:41:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"857c1462933c9fc6dc6d13ec4fb7fe45926c1cfa2dbff5e58142be4c5bbe0cd4","abstract_canon_sha256":"b3560067b38079c702b169f7c4c3b94bb322f42f798060b663f927b0b16ee636"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:37:32.553281Z","signature_b64":"MjA8Kzo54G+eU6n/vCvRj80QMIcZYNs9hyUgOuib/DSgLFLAaK1HdZKnOQLZSGN4Y0gX91TF8STC7RVqjnoLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8635d438b43bd3cd8a0be6beb1aad12fde2d393736f126f1b6bcb51792759379","last_reissued_at":"2026-07-05T06:37:32.552855Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:37:32.552855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic constant-roll inflation and primordial black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Eemeli Tomberg","submitted_at":"2023-04-21T11:41:02Z","abstract_excerpt":"Stochastic inflation resolves primordial perturbations non-linearly, probing their probability distribution deep into its non-Gaussian tail. The strongest perturbations collapse into primordial black holes. In typical black-hole-producing single-field inflation, the strongest stochastic kicks occur during a period of constant roll. In this paper, I solve the stochastic constant-roll system, drawing the stochastic kicks from a numerically computed power spectrum, beyond the usual de Sitter approximation. The perturbation probability distribution is an analytical function of the integrated curva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.10903","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/2304.10903/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":"2304.10903","created_at":"2026-07-05T06:37:32.552915+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.10903v2","created_at":"2026-07-05T06:37:32.552915+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.10903","created_at":"2026-07-05T06:37:32.552915+00:00"},{"alias_kind":"pith_short_12","alias_value":"QY25IOFUHPJ4","created_at":"2026-07-05T06:37:32.552915+00:00"},{"alias_kind":"pith_short_16","alias_value":"QY25IOFUHPJ43CQL","created_at":"2026-07-05T06:37:32.552915+00:00"},{"alias_kind":"pith_short_8","alias_value":"QY25IOFU","created_at":"2026-07-05T06:37:32.552915+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24111","citing_title":"Constant-Roll Inflation: Analytical Formulae for Power Spectrum and Implications for Induced Gravitational Waves","ref_index":101,"is_internal_anchor":false},{"citing_arxiv_id":"2606.09690","citing_title":"Stochastic constant-roll inflation beyond the hilltop with the spectral method","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2606.00176","citing_title":"Eigenvalue formulation of Stochastic Inflation and application to large perturbation generating inflationary features","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28296","citing_title":"Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes","ref_index":139,"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":38,"is_internal_anchor":false},{"citing_arxiv_id":"2606.29796","citing_title":"Superhorizon curvature perturbations in hybrid inflation revisited","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10656","citing_title":"Multifield stochastic inflation: Relevance of number of fields in statistical moments","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00476","citing_title":"A consistent formulation of stochastic inflation I: Non-Markovian effects and issues beyond linear perturbations","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15219","citing_title":"Nonperturbative stochastic inflation in perturbative dynamical background","ref_index":75,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7","json":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7.json","graph_json":"https://pith.science/api/pith-number/QY25IOFUHPJ43CQL427LDKWRF7/graph.json","events_json":"https://pith.science/api/pith-number/QY25IOFUHPJ43CQL427LDKWRF7/events.json","paper":"https://pith.science/paper/QY25IOFU"},"agent_actions":{"view_html":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7","download_json":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7.json","view_paper":"https://pith.science/paper/QY25IOFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.10903&json=true","fetch_graph":"https://pith.science/api/pith-number/QY25IOFUHPJ43CQL427LDKWRF7/graph.json","fetch_events":"https://pith.science/api/pith-number/QY25IOFUHPJ43CQL427LDKWRF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7/action/storage_attestation","attest_author":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7/action/author_attestation","sign_citation":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7/action/citation_signature","submit_replication":"https://pith.science/pith/QY25IOFUHPJ43CQL427LDKWRF7/action/replication_record"}},"created_at":"2026-07-05T06:37:32.552915+00:00","updated_at":"2026-07-05T06:37:32.552915+00:00"}