{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VEJZWIGINF255ZXMGMS2GOQMQH","short_pith_number":"pith:VEJZWIGI","schema_version":"1.0","canonical_sha256":"a9139b20c86975dee6ec3325a33a0c81cf016a221076c415e5ac2ef3e63c3d4b","source":{"kind":"arxiv","id":"2411.08854","version":2},"attestation_state":"computed","paper":{"title":"Stochastic inflation and non-perturbative power spectrum beyond slow roll","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Devanshu Sharma","submitted_at":"2024-11-13T18:34:35Z","abstract_excerpt":"Stochastic inflation, together with the $\\Delta N$ formalism, provides a powerful tool for estimating the large-scale behaviour of primordial fluctuations. In this work, we develop a numerical code to capture the non-perturbative statistics of these fluctuations and validate it to obtain the exponential non-Gaussian tail of the curvature perturbations. We present a numerical algorithm to compute the non-perturbative curvature power spectrum and apply it to both slow-roll (SR) and ultra-slow-roll (USR) single-field models of inflation. We accurately generate a non-perturbative scale-invariant p"},"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":"2411.08854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-11-13T18:34:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0fbc92cb50058b5112bce7e8981b3d168f84bc5aafa4233411d493140fafd3cc","abstract_canon_sha256":"24ac64518f05e631a5371bc131828c566d969e7a03b300d966060d5b797e4b8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:26:10.429548Z","signature_b64":"VliA8S05K5GN30Nm9dw1+1GnkBZYi3i2/OViiwU7m2PmjBiQlqMfR9e3WFM4eIOtMYxzsBr9bTEfD1PUcv4hAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9139b20c86975dee6ec3325a33a0c81cf016a221076c415e5ac2ef3e63c3d4b","last_reissued_at":"2026-07-05T10:26:10.428979Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:26:10.428979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic inflation and non-perturbative power spectrum beyond slow roll","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Devanshu Sharma","submitted_at":"2024-11-13T18:34:35Z","abstract_excerpt":"Stochastic inflation, together with the $\\Delta N$ formalism, provides a powerful tool for estimating the large-scale behaviour of primordial fluctuations. In this work, we develop a numerical code to capture the non-perturbative statistics of these fluctuations and validate it to obtain the exponential non-Gaussian tail of the curvature perturbations. We present a numerical algorithm to compute the non-perturbative curvature power spectrum and apply it to both slow-roll (SR) and ultra-slow-roll (USR) single-field models of inflation. We accurately generate a non-perturbative scale-invariant p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08854","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/2411.08854/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":"2411.08854","created_at":"2026-07-05T10:26:10.429059+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.08854v2","created_at":"2026-07-05T10:26:10.429059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08854","created_at":"2026-07-05T10:26:10.429059+00:00"},{"alias_kind":"pith_short_12","alias_value":"VEJZWIGINF25","created_at":"2026-07-05T10:26:10.429059+00:00"},{"alias_kind":"pith_short_16","alias_value":"VEJZWIGINF255ZXM","created_at":"2026-07-05T10:26:10.429059+00:00"},{"alias_kind":"pith_short_8","alias_value":"VEJZWIGI","created_at":"2026-07-05T10:26:10.429059+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.09690","citing_title":"Stochastic constant-roll inflation beyond the hilltop with the spectral method","ref_index":44,"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":42,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15219","citing_title":"Nonperturbative stochastic inflation in perturbative dynamical background","ref_index":80,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH","json":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH.json","graph_json":"https://pith.science/api/pith-number/VEJZWIGINF255ZXMGMS2GOQMQH/graph.json","events_json":"https://pith.science/api/pith-number/VEJZWIGINF255ZXMGMS2GOQMQH/events.json","paper":"https://pith.science/paper/VEJZWIGI"},"agent_actions":{"view_html":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH","download_json":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH.json","view_paper":"https://pith.science/paper/VEJZWIGI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.08854&json=true","fetch_graph":"https://pith.science/api/pith-number/VEJZWIGINF255ZXMGMS2GOQMQH/graph.json","fetch_events":"https://pith.science/api/pith-number/VEJZWIGINF255ZXMGMS2GOQMQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH/action/storage_attestation","attest_author":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH/action/author_attestation","sign_citation":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH/action/citation_signature","submit_replication":"https://pith.science/pith/VEJZWIGINF255ZXMGMS2GOQMQH/action/replication_record"}},"created_at":"2026-07-05T10:26:10.429059+00:00","updated_at":"2026-07-05T10:26:10.429059+00:00"}