{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:H4IKQMFXQ47ARZECJIO7C4CLGB","short_pith_number":"pith:H4IKQMFX","canonical_record":{"source":{"id":"1301.7613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-31T13:48:07Z","cross_cats_sorted":[],"title_canon_sha256":"9ade5d40189b001e8ec8349ffa84211ac21a47cc50440573595e407224b20d10","abstract_canon_sha256":"8c513181d9fec450e5e6cde64d6eb70e294125364327620cc8a5790889477fd6"},"schema_version":"1.0"},"canonical_sha256":"3f10a830b7873e08e4824a1df1704b306fcdbae4dd599bbfe9fdfd119a00d9a5","source":{"kind":"arxiv","id":"1301.7613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7613","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7613v1","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7613","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"pith_short_12","alias_value":"H4IKQMFXQ47A","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H4IKQMFXQ47ARZEC","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H4IKQMFX","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:H4IKQMFXQ47ARZECJIO7C4CLGB","target":"record","payload":{"canonical_record":{"source":{"id":"1301.7613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-31T13:48:07Z","cross_cats_sorted":[],"title_canon_sha256":"9ade5d40189b001e8ec8349ffa84211ac21a47cc50440573595e407224b20d10","abstract_canon_sha256":"8c513181d9fec450e5e6cde64d6eb70e294125364327620cc8a5790889477fd6"},"schema_version":"1.0"},"canonical_sha256":"3f10a830b7873e08e4824a1df1704b306fcdbae4dd599bbfe9fdfd119a00d9a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:19.512675Z","signature_b64":"jQcZ3XJnj04bZ5FkMkTt8ibx8lxPyen+/O16Wvd+sgLL0zC0rYnODYKq/oWBDYcYnrYu9TyRGxwvO3C53ef3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f10a830b7873e08e4824a1df1704b306fcdbae4dd599bbfe9fdfd119a00d9a5","last_reissued_at":"2026-05-18T00:51:19.511979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:19.511979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.7613","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RJL+cxlY4GTWTIs01tBFBNizdcJ1kektxdB78eZqSWqIrioA5xfy1B6pKxlGShIx2ZCS6qF0ThsXw6tQQnMEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:50:44.941715Z"},"content_sha256":"80db50eea92a60d8aed10c31313db5c181105c3523815e408488d8b663e70f81","schema_version":"1.0","event_id":"sha256:80db50eea92a60d8aed10c31313db5c181105c3523815e408488d8b663e70f81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:H4IKQMFXQ47ARZECJIO7C4CLGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying the behaviour of curvature perturbations near Horizon Crossing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Adam J. Christopherson, Ellie Nalson, Ian Huston, Karim A. Malik","submitted_at":"2013-01-31T13:48:07Z","abstract_excerpt":"How much does the curvature perturbation change after it leaves the horizon, and when should one evaluate the power spectrum? To answer these questions we study single field inflation models numerically, and compare the evolution of different curvature perturbations from horizon crossing to the end of inflation. We find that e.g. in chaotic inflation, the amplitude of the comoving and the curvature perturbation on uniform density hypersurfaces differ by up to 180 \\% at horizon crossing assuming the same amplitude at the end of inflation, and that it takes approximately 3 efolds for the curvatu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7613","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6cKL3boIPHVf7e1j7sthWmOswZHwx32NlFLK2xhyXm87O/4vdy+qbLK1EpK7bPQR2TzdLaVcDWkwEjnbV/VBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:50:44.942419Z"},"content_sha256":"0c97e493ea7ed520627491fb6c8d245333821debb83339f3747e5e26ebeca6a7","schema_version":"1.0","event_id":"sha256:0c97e493ea7ed520627491fb6c8d245333821debb83339f3747e5e26ebeca6a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/bundle.json","state_url":"https://pith.science/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T21:50:44Z","links":{"resolver":"https://pith.science/pith/H4IKQMFXQ47ARZECJIO7C4CLGB","bundle":"https://pith.science/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/bundle.json","state":"https://pith.science/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H4IKQMFXQ47ARZECJIO7C4CLGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H4IKQMFXQ47ARZECJIO7C4CLGB","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":"8c513181d9fec450e5e6cde64d6eb70e294125364327620cc8a5790889477fd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-31T13:48:07Z","title_canon_sha256":"9ade5d40189b001e8ec8349ffa84211ac21a47cc50440573595e407224b20d10"},"schema_version":"1.0","source":{"id":"1301.7613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7613","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7613v1","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7613","created_at":"2026-05-18T00:51:19Z"},{"alias_kind":"pith_short_12","alias_value":"H4IKQMFXQ47A","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H4IKQMFXQ47ARZEC","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H4IKQMFX","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:0c97e493ea7ed520627491fb6c8d245333821debb83339f3747e5e26ebeca6a7","target":"graph","created_at":"2026-05-18T00:51:19Z","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"},"paper":{"abstract_excerpt":"How much does the curvature perturbation change after it leaves the horizon, and when should one evaluate the power spectrum? To answer these questions we study single field inflation models numerically, and compare the evolution of different curvature perturbations from horizon crossing to the end of inflation. We find that e.g. in chaotic inflation, the amplitude of the comoving and the curvature perturbation on uniform density hypersurfaces differ by up to 180 \\% at horizon crossing assuming the same amplitude at the end of inflation, and that it takes approximately 3 efolds for the curvatu","authors_text":"Adam J. Christopherson, Ellie Nalson, Ian Huston, Karim A. Malik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-31T13:48:07Z","title":"Quantifying the behaviour of curvature perturbations near Horizon Crossing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7613","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":"sha256:80db50eea92a60d8aed10c31313db5c181105c3523815e408488d8b663e70f81","target":"record","created_at":"2026-05-18T00:51:19Z","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":"8c513181d9fec450e5e6cde64d6eb70e294125364327620cc8a5790889477fd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-01-31T13:48:07Z","title_canon_sha256":"9ade5d40189b001e8ec8349ffa84211ac21a47cc50440573595e407224b20d10"},"schema_version":"1.0","source":{"id":"1301.7613","kind":"arxiv","version":1}},"canonical_sha256":"3f10a830b7873e08e4824a1df1704b306fcdbae4dd599bbfe9fdfd119a00d9a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f10a830b7873e08e4824a1df1704b306fcdbae4dd599bbfe9fdfd119a00d9a5","first_computed_at":"2026-05-18T00:51:19.511979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:19.511979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQcZ3XJnj04bZ5FkMkTt8ibx8lxPyen+/O16Wvd+sgLL0zC0rYnODYKq/oWBDYcYnrYu9TyRGxwvO3C53ef3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:19.512675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80db50eea92a60d8aed10c31313db5c181105c3523815e408488d8b663e70f81","sha256:0c97e493ea7ed520627491fb6c8d245333821debb83339f3747e5e26ebeca6a7"],"state_sha256":"537666333ba23046d4ba0458218b028dba0ed4ad5941466a1a5deb1b2c3ec165"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awpipyJ6InxSzsIg0oUXCufYO3u0hxvK1C5LOdXJHtUxkyFTlgMHsVoRDmFd/UgF3bvjh50UWLAwFToKpD1oCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:50:44.946087Z","bundle_sha256":"296a82f3c5a150668fa41bc5f8c37fdc9924f20eb3b19c4e22f74fcb3deae6b2"}}