{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NVMDC2GUKQ7CPHXAIPXMVINFRX","short_pith_number":"pith:NVMDC2GU","schema_version":"1.0","canonical_sha256":"6d583168d4543e279ee043eecaa1a58dc18c46eafa6426a1e3671dc0ad45be69","source":{"kind":"arxiv","id":"2409.13500","version":2},"attestation_state":"computed","paper":{"title":"Constant roll and non-Gaussian tail in light of logarithmic duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Hayato Motohashi, Ryoto Inui, Shi Pi, Shuichiro Yokoyama, Yuichiro Tada","submitted_at":"2024-09-20T13:40:29Z","abstract_excerpt":"The curvature perturbation in a model of constant-roll (CR) inflation is interpreted in view of the logarithmic duality discovered in Ref. [1] according to the $\\delta N$ formalism. We confirm that the critical value $\\beta:=\\ddot{\\varphi}/(H\\dot{\\varphi})=-3/2$ determining whether the CR condition is stable or not is understood as the point at which the dual solutions, i.e., the attractor and non-attractor solutions of the field equation, are interchanged. For the attractor-solution domination, the curvature perturbation in the CR model is given by a simple logarithmic mapping of a Gaussian r"},"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":"2409.13500","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-09-20T13:40:29Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"bc85be28b90a22666b7b77e0612de7c18d42bc739d86d81ef337e1c1d4cbb9b6","abstract_canon_sha256":"b31ba55e884c230ec51a89ab4a8f8efa8aa26b1dd1f08892aec8f5f945791b92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:17:11.490639Z","signature_b64":"Ia/IIQA3c4o1enttLxlQ7xFhsuGegN26VDZZTob3AXSq0Tsw0kADtVVjzXhERD6l0SeQo5bZnCGZdVLzY1z5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d583168d4543e279ee043eecaa1a58dc18c46eafa6426a1e3671dc0ad45be69","last_reissued_at":"2026-07-05T10:17:11.490136Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:17:11.490136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constant roll and non-Gaussian tail in light of logarithmic duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Hayato Motohashi, Ryoto Inui, Shi Pi, Shuichiro Yokoyama, Yuichiro Tada","submitted_at":"2024-09-20T13:40:29Z","abstract_excerpt":"The curvature perturbation in a model of constant-roll (CR) inflation is interpreted in view of the logarithmic duality discovered in Ref. [1] according to the $\\delta N$ formalism. We confirm that the critical value $\\beta:=\\ddot{\\varphi}/(H\\dot{\\varphi})=-3/2$ determining whether the CR condition is stable or not is understood as the point at which the dual solutions, i.e., the attractor and non-attractor solutions of the field equation, are interchanged. For the attractor-solution domination, the curvature perturbation in the CR model is given by a simple logarithmic mapping of a Gaussian r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13500","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/2409.13500/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":"2409.13500","created_at":"2026-07-05T10:17:11.490194+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.13500v2","created_at":"2026-07-05T10:17:11.490194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13500","created_at":"2026-07-05T10:17:11.490194+00:00"},{"alias_kind":"pith_short_12","alias_value":"NVMDC2GUKQ7C","created_at":"2026-07-05T10:17:11.490194+00:00"},{"alias_kind":"pith_short_16","alias_value":"NVMDC2GUKQ7CPHXA","created_at":"2026-07-05T10:17:11.490194+00:00"},{"alias_kind":"pith_short_8","alias_value":"NVMDC2GU","created_at":"2026-07-05T10:17:11.490194+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"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":62,"is_internal_anchor":false},{"citing_arxiv_id":"2606.26532","citing_title":"Primordial black hole formation in bulk-viscous cosmology","ref_index":106,"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":41,"is_internal_anchor":false},{"citing_arxiv_id":"2606.29796","citing_title":"Superhorizon curvature perturbations in hybrid inflation revisited","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX","json":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX.json","graph_json":"https://pith.science/api/pith-number/NVMDC2GUKQ7CPHXAIPXMVINFRX/graph.json","events_json":"https://pith.science/api/pith-number/NVMDC2GUKQ7CPHXAIPXMVINFRX/events.json","paper":"https://pith.science/paper/NVMDC2GU"},"agent_actions":{"view_html":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX","download_json":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX.json","view_paper":"https://pith.science/paper/NVMDC2GU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.13500&json=true","fetch_graph":"https://pith.science/api/pith-number/NVMDC2GUKQ7CPHXAIPXMVINFRX/graph.json","fetch_events":"https://pith.science/api/pith-number/NVMDC2GUKQ7CPHXAIPXMVINFRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX/action/storage_attestation","attest_author":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX/action/author_attestation","sign_citation":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX/action/citation_signature","submit_replication":"https://pith.science/pith/NVMDC2GUKQ7CPHXAIPXMVINFRX/action/replication_record"}},"created_at":"2026-07-05T10:17:11.490194+00:00","updated_at":"2026-07-05T10:17:11.490194+00:00"}