{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KIB36N77WMQT724KILDRS6ZKAP","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":"0d816b1d063f07f2cf05e9424e20bd6c1609cf338729c7f9cda3a99cd3391b65","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-12-21T03:30:13Z","title_canon_sha256":"08912f8dbaaa74360a9a01760416b553e9eb4e9d8e49e5b207dbb200477bfb8d"},"schema_version":"1.0","source":{"id":"2412.16463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16463","created_at":"2026-07-05T11:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16463v1","created_at":"2026-07-05T11:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16463","created_at":"2026-07-05T11:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"KIB36N77WMQT","created_at":"2026-07-05T11:24:11Z"},{"alias_kind":"pith_short_16","alias_value":"KIB36N77WMQT724K","created_at":"2026-07-05T11:24:11Z"},{"alias_kind":"pith_short_8","alias_value":"KIB36N77","created_at":"2026-07-05T11:24:11Z"}],"graph_snapshots":[{"event_id":"sha256:f3278164466b4a8ae65d5deef485bc439f21764c55bc73e9fa09a2f74b44cfe1","target":"graph","created_at":"2026-07-05T11:24:11Z","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/2412.16463/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We conduct a thorough study of the comoving curvature perturbation $\\mathcal{R}$ in single-field inflation with two stages, represented by a piecewise quadratic potential, where both the first and second derivatives are allowed to be discontinuous at the transition point. We calculate the evolution of $\\mathcal{R}$ by combining the perturbative and non-perturbative methods consistently, and obtain the power spectrum and the non-Gaussian features in the probability distribution function. We find that both the spectrum and the statistics of $\\mathcal{R}$ depend significantly on the second deriva","authors_text":"Misao Sasaki, Xiao-Han Ma, Xinpeng Wang","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-12-21T03:30:13Z","title":"A complete analysis of inflation with piecewise quadratic potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16463","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:f98b087c2fda08eb8bcbfe95d73b904e086e2b2e294f8255cdb7a3fcf736d8bd","target":"record","created_at":"2026-07-05T11:24:11Z","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":"0d816b1d063f07f2cf05e9424e20bd6c1609cf338729c7f9cda3a99cd3391b65","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2024-12-21T03:30:13Z","title_canon_sha256":"08912f8dbaaa74360a9a01760416b553e9eb4e9d8e49e5b207dbb200477bfb8d"},"schema_version":"1.0","source":{"id":"2412.16463","kind":"arxiv","version":1}},"canonical_sha256":"5203bf37ffb3213feb8a42c7197b2a03daec3680e4f318e7a1e4ce46fd39ac6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5203bf37ffb3213feb8a42c7197b2a03daec3680e4f318e7a1e4ce46fd39ac6c","first_computed_at":"2026-07-05T11:24:11.790216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:11.790216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j26/P06a+7WmM9oneGrXawd6imQ/jig4GqTd6dg6G7pxpO0iPOsuZ1PQcibu8I/SM7AruG8EPdSDL7NOHVirCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:11.790747Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.16463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f98b087c2fda08eb8bcbfe95d73b904e086e2b2e294f8255cdb7a3fcf736d8bd","sha256:f3278164466b4a8ae65d5deef485bc439f21764c55bc73e9fa09a2f74b44cfe1"],"state_sha256":"18188bd600c0551cdbd959056967ffeb3402334ddbbe6d7587bbc0f14adc9875"}