{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RAVVF2PSWIQIT2YJNNDYIDPAJY","short_pith_number":"pith:RAVVF2PS","schema_version":"1.0","canonical_sha256":"882b52e9f2b22089eb096b47840de04e27ce64c8411e1e6e17f05c8bb068e8c4","source":{"kind":"arxiv","id":"2405.12145","version":3},"attestation_state":"computed","paper":{"title":"Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Jason Kristiano, Jun'ichi Yokoyama","submitted_at":"2024-05-20T16:15:23Z","abstract_excerpt":"In single-field inflation, violation of the slow-roll approximation can lead to growth of curvature perturbation outside the horizon. This violation is characterized by a period with a large negative value of the second slow-roll parameter. At an early time, inflation must satisfy the slow-roll approximation, so the large-scale curvature perturbation can explain the cosmic microwave background fluctuations. At intermediate time, it is viable to have a theory that violates the slow-roll approximation, which implies amplification of the curvature perturbation on small scales. Specifically, we co"},"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":"2405.12145","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-05-20T16:15:23Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2d46fa926bdcc279c4e45812da8a93f0c767480270600281754f468252dabbb1","abstract_canon_sha256":"218d0f08422a4a7cf982a856b47ce236fc693216cdf8e285385be37c9e39dd08"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:18:25.745902Z","signature_b64":"ZHNq8fr8NqEhvo/PnFFHyeFZKTHF3LSLSYwlVFk9tsg3bShmRc4J0FNpWk0o1pFkhfVPSN8HAhzAjWqa977BAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"882b52e9f2b22089eb096b47840de04e27ce64c8411e1e6e17f05c8bb068e8c4","last_reissued_at":"2026-07-05T09:18:25.745435Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:18:25.745435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Jason Kristiano, Jun'ichi Yokoyama","submitted_at":"2024-05-20T16:15:23Z","abstract_excerpt":"In single-field inflation, violation of the slow-roll approximation can lead to growth of curvature perturbation outside the horizon. This violation is characterized by a period with a large negative value of the second slow-roll parameter. At an early time, inflation must satisfy the slow-roll approximation, so the large-scale curvature perturbation can explain the cosmic microwave background fluctuations. At intermediate time, it is viable to have a theory that violates the slow-roll approximation, which implies amplification of the curvature perturbation on small scales. Specifically, we co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.12145","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.12145/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":"2405.12145","created_at":"2026-07-05T09:18:25.745488+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.12145v3","created_at":"2026-07-05T09:18:25.745488+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.12145","created_at":"2026-07-05T09:18:25.745488+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAVVF2PSWIQI","created_at":"2026-07-05T09:18:25.745488+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAVVF2PSWIQIT2YJ","created_at":"2026-07-05T09:18:25.745488+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAVVF2PS","created_at":"2026-07-05T09:18:25.745488+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28247","citing_title":"Cancellation of one-loop time dependence in superhorizon curvature perturbations from all scales","ref_index":52,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28005","citing_title":"UV artefacts in ultra-slow-roll models of inflation","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2502.09481","citing_title":"Non-Perturbative Hamiltonian and Higher Loop Corrections in USR Inflation","ref_index":46,"is_internal_anchor":false},{"citing_arxiv_id":"2502.10287","citing_title":"Hamiltonians to all Orders in Perturbation Theory and Higher Loop Corrections in Single Field Inflation with PBHs Formation","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2507.00077","citing_title":"Ward Identity Constraints on Loop Corrections in Non-Attractor Inflation","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2508.09946","citing_title":"Stochastic Inflation with Interacting Noises","ref_index":100,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13325","citing_title":"Fixing the Renormalization of Inflationary Loops via Ward Identities","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY","json":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY.json","graph_json":"https://pith.science/api/pith-number/RAVVF2PSWIQIT2YJNNDYIDPAJY/graph.json","events_json":"https://pith.science/api/pith-number/RAVVF2PSWIQIT2YJNNDYIDPAJY/events.json","paper":"https://pith.science/paper/RAVVF2PS"},"agent_actions":{"view_html":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY","download_json":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY.json","view_paper":"https://pith.science/paper/RAVVF2PS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.12145&json=true","fetch_graph":"https://pith.science/api/pith-number/RAVVF2PSWIQIT2YJNNDYIDPAJY/graph.json","fetch_events":"https://pith.science/api/pith-number/RAVVF2PSWIQIT2YJNNDYIDPAJY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY/action/storage_attestation","attest_author":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY/action/author_attestation","sign_citation":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY/action/citation_signature","submit_replication":"https://pith.science/pith/RAVVF2PSWIQIT2YJNNDYIDPAJY/action/replication_record"}},"created_at":"2026-07-05T09:18:25.745488+00:00","updated_at":"2026-07-05T09:18:25.745488+00:00"}