{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:QUZW7ZLPP66DOMS5LPNVCFBDKD","short_pith_number":"pith:QUZW7ZLP","canonical_record":{"source":{"id":"astro-ph/0405185","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-05-10T18:45:18Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4ee5278e3bbc5f2fe4d5639a7bc343907c6d903dfc89558cac857a95b67f31f8","abstract_canon_sha256":"6a6e7e8055291f40a8c39240bf4bce77ebfe0d83504f0948d9be0f5c8b57907e"},"schema_version":"1.0"},"canonical_sha256":"85336fe56f7fbc37325d5bdb51142350f841c9a0609e25218e1201e5a20a26d0","source":{"kind":"arxiv","id":"astro-ph/0405185","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0405185","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0405185v3","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0405185","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"QUZW7ZLPP66D","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_16","alias_value":"QUZW7ZLPP66DOMS5","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_8","alias_value":"QUZW7ZLP","created_at":"2026-07-04T16:43:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:QUZW7ZLPP66DOMS5LPNVCFBDKD","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0405185","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-05-10T18:45:18Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4ee5278e3bbc5f2fe4d5639a7bc343907c6d903dfc89558cac857a95b67f31f8","abstract_canon_sha256":"6a6e7e8055291f40a8c39240bf4bce77ebfe0d83504f0948d9be0f5c8b57907e"},"schema_version":"1.0"},"canonical_sha256":"85336fe56f7fbc37325d5bdb51142350f841c9a0609e25218e1201e5a20a26d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:43:44.126292Z","signature_b64":"93Z5c5Ts/H+8t1zxgcHsLPD0uXMgyOsXpnjoV+tebGGj1Rt16e7K/vPD3GubCekbEUr/xEAahMJWe11qOMrDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85336fe56f7fbc37325d5bdb51142350f841c9a0609e25218e1201e5a20a26d0","last_reissued_at":"2026-07-04T16:43:44.125925Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:43:44.125925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0405185","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZgLKf5OOzV+QGmrRfzPw0SANuJJtu9W6Gl0xtuJeQCabMUehlQTvgtk0RrsN4OF8jEDWA2+6i412jI8574jiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:37:22.212061Z"},"content_sha256":"02929ab86ad17bc36d24a276a71af163d1a72cba69f23da8c4c8ffdaba899f15","schema_version":"1.0","event_id":"sha256:02929ab86ad17bc36d24a276a71af163d1a72cba69f23da8c4c8ffdaba899f15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:QUZW7ZLPP66DOMS5LPNVCFBDKD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-linear inflationary perturbations","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"E.P.S. Shellard, G.I. Rigopoulos","submitted_at":"2004-05-10T18:45:18Z","abstract_excerpt":"We present a method by which cosmological perturbations can be quantitatively studied in single and multi-field inflationary models beyond linear perturbation theory. A non-linear generalization of the gauge-invariant Sasaki-Mukhanov variables is used in a long-wavelength approximation. These generalized variables remain invariant under time slicing changes on long wavelengths. The equations they obey are relatively simple and can be formulated for a number of time slicing choices. Initial conditions are set after horizon crossing and the subsequent evolution is fully non-linear. We briefly di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0405185","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/astro-ph/0405185/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ewUAI+BR5+lGfrL/r6Xm7SRL+xvqIfCqLVbfueJ6+Atb5Ck09dF0HwpNrFXe3LQJpGamN983pbfSN+oV3eTmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:37:22.212464Z"},"content_sha256":"e9cbbfb7cbf23d66332fe68b3a596cd10b7778e9c9cf6303c5f3dadc48fcf843","schema_version":"1.0","event_id":"sha256:e9cbbfb7cbf23d66332fe68b3a596cd10b7778e9c9cf6303c5f3dadc48fcf843"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/bundle.json","state_url":"https://pith.science/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/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":"2026-08-04T07:37:22Z","links":{"resolver":"https://pith.science/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD","bundle":"https://pith.science/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/bundle.json","state":"https://pith.science/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QUZW7ZLPP66DOMS5LPNVCFBDKD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:QUZW7ZLPP66DOMS5LPNVCFBDKD","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":"6a6e7e8055291f40a8c39240bf4bce77ebfe0d83504f0948d9be0f5c8b57907e","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2004-05-10T18:45:18Z","title_canon_sha256":"4ee5278e3bbc5f2fe4d5639a7bc343907c6d903dfc89558cac857a95b67f31f8"},"schema_version":"1.0","source":{"id":"astro-ph/0405185","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0405185","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0405185v3","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0405185","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"QUZW7ZLPP66D","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_16","alias_value":"QUZW7ZLPP66DOMS5","created_at":"2026-07-04T16:43:44Z"},{"alias_kind":"pith_short_8","alias_value":"QUZW7ZLP","created_at":"2026-07-04T16:43:44Z"}],"graph_snapshots":[{"event_id":"sha256:e9cbbfb7cbf23d66332fe68b3a596cd10b7778e9c9cf6303c5f3dadc48fcf843","target":"graph","created_at":"2026-07-04T16:43:44Z","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/astro-ph/0405185/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method by which cosmological perturbations can be quantitatively studied in single and multi-field inflationary models beyond linear perturbation theory. A non-linear generalization of the gauge-invariant Sasaki-Mukhanov variables is used in a long-wavelength approximation. These generalized variables remain invariant under time slicing changes on long wavelengths. The equations they obey are relatively simple and can be formulated for a number of time slicing choices. Initial conditions are set after horizon crossing and the subsequent evolution is fully non-linear. We briefly di","authors_text":"E.P.S. Shellard, G.I. Rigopoulos","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2004-05-10T18:45:18Z","title":"Non-linear inflationary perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0405185","kind":"arxiv","version":3},"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":"sha256:02929ab86ad17bc36d24a276a71af163d1a72cba69f23da8c4c8ffdaba899f15","target":"record","created_at":"2026-07-04T16:43:44Z","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":"6a6e7e8055291f40a8c39240bf4bce77ebfe0d83504f0948d9be0f5c8b57907e","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"2004-05-10T18:45:18Z","title_canon_sha256":"4ee5278e3bbc5f2fe4d5639a7bc343907c6d903dfc89558cac857a95b67f31f8"},"schema_version":"1.0","source":{"id":"astro-ph/0405185","kind":"arxiv","version":3}},"canonical_sha256":"85336fe56f7fbc37325d5bdb51142350f841c9a0609e25218e1201e5a20a26d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85336fe56f7fbc37325d5bdb51142350f841c9a0609e25218e1201e5a20a26d0","first_computed_at":"2026-07-04T16:43:44.125925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:43:44.125925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"93Z5c5Ts/H+8t1zxgcHsLPD0uXMgyOsXpnjoV+tebGGj1Rt16e7K/vPD3GubCekbEUr/xEAahMJWe11qOMrDBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:43:44.126292Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0405185","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02929ab86ad17bc36d24a276a71af163d1a72cba69f23da8c4c8ffdaba899f15","sha256:e9cbbfb7cbf23d66332fe68b3a596cd10b7778e9c9cf6303c5f3dadc48fcf843"],"state_sha256":"3f4f33a2bcfe06ab33a3623ec5643aa2caae0fc5018be463c540b69c178982ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UirPzZ0Wby56xa+daH/ztx4sg5XiU34kjRRN+RZRi8DeuBav/XWBUAJSorhqnLlz0trgYQ0QTKG/m+fe15fhCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:37:22.215472Z","bundle_sha256":"5e0c26ec53c2a30ddc20e5eef36e0476f692982fc8f746f7401d3bb00bc60e92"}}