{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:MEZPWUJ6D5WTD2V6TJJX2JBAO3","short_pith_number":"pith:MEZPWUJ6","canonical_record":{"source":{"id":"astro-ph/0501401","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-01-19T02:36:49Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"327b78ec1005e18fe5b4ed202e575097fab0b255ce9ccba97a1feb633da1148f","abstract_canon_sha256":"4adae407cb221ee70e52d76fd5b3f0884dd8db3261bca55b84dbba247b066c97"},"schema_version":"1.0"},"canonical_sha256":"6132fb513e1f6d31eabe9a537d242076efe46e2608642e6a58324b1bb38eff5b","source":{"kind":"arxiv","id":"astro-ph/0501401","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0501401","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0501401v2","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0501401","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"MEZPWUJ6D5WT","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_16","alias_value":"MEZPWUJ6D5WTD2V6","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_8","alias_value":"MEZPWUJ6","created_at":"2026-07-04T16:50:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:MEZPWUJ6D5WTD2V6TJJX2JBAO3","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0501401","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-01-19T02:36:49Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"327b78ec1005e18fe5b4ed202e575097fab0b255ce9ccba97a1feb633da1148f","abstract_canon_sha256":"4adae407cb221ee70e52d76fd5b3f0884dd8db3261bca55b84dbba247b066c97"},"schema_version":"1.0"},"canonical_sha256":"6132fb513e1f6d31eabe9a537d242076efe46e2608642e6a58324b1bb38eff5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:50:39.999016Z","signature_b64":"Sh8p2Aev2VfjIn/RknF1urHNeJIjV6MnfHPn0K3w9gIJRBstqq5oCVQRtieKVouaTl0XCGssU2eRLQ5uPGaQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6132fb513e1f6d31eabe9a537d242076efe46e2608642e6a58324b1bb38eff5b","last_reissued_at":"2026-07-04T16:50:39.998626Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:50:39.998626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0501401","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgSM2dRWflxFQCQcLr79+sNEr528zOKPvR5BfNiD7ocivGWM3elP0jrqhKr+Fzi2m61g+MKMlUraiCCX5xJACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:55:04.690316Z"},"content_sha256":"83fb6bc412010009f6cc352feebff07f2153db998606b035be95711774fb2f48","schema_version":"1.0","event_id":"sha256:83fb6bc412010009f6cc352feebff07f2153db998606b035be95711774fb2f48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:MEZPWUJ6D5WTD2V6TJJX2JBAO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Evolutions and Non-Gaussianity in Generalized Gravity","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph","authors_text":"Doo Jong Song, Sang Pyo Kim, Seoktae Koh","submitted_at":"2005-01-19T02:36:49Z","abstract_excerpt":"We use the Hamilton-Jacobi theory to study the nonlinear evolutions of inhomogeneous spacetimes during inflation in generalized gravity. We find the exact solutions to the lowest order Hamilton-Jacobi equation for special scalar potentials and introduce an approximation method for general potentials. The conserved quantity invariant under a change of timelike hypersurfaces proves useful in dealing with gravitational perturbations. In the long-wavelength approximation, we find a conserved quantity related to the new canonical variable that makes the Hamiltonian density vanish, and calculate the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0501401","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/astro-ph/0501401/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":"2026-07-04T16:50:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05poocAXUcpwbsU9AREmgKj54ZkMq5juXORAsg3ueb3V0IlZ+RI7kzQms26hWZ7zYuozyWOof+DDYq1lKSuCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:55:04.691417Z"},"content_sha256":"7a4b87cde774ef68acedbf1118030eee3a727f4599c722ab459c470f7982d86f","schema_version":"1.0","event_id":"sha256:7a4b87cde774ef68acedbf1118030eee3a727f4599c722ab459c470f7982d86f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/bundle.json","state_url":"https://pith.science/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/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":"2026-08-05T19:55:04Z","links":{"resolver":"https://pith.science/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3","bundle":"https://pith.science/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/bundle.json","state":"https://pith.science/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MEZPWUJ6D5WTD2V6TJJX2JBAO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:MEZPWUJ6D5WTD2V6TJJX2JBAO3","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":"4adae407cb221ee70e52d76fd5b3f0884dd8db3261bca55b84dbba247b066c97","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2005-01-19T02:36:49Z","title_canon_sha256":"327b78ec1005e18fe5b4ed202e575097fab0b255ce9ccba97a1feb633da1148f"},"schema_version":"1.0","source":{"id":"astro-ph/0501401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0501401","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0501401v2","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0501401","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_12","alias_value":"MEZPWUJ6D5WT","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_16","alias_value":"MEZPWUJ6D5WTD2V6","created_at":"2026-07-04T16:50:39Z"},{"alias_kind":"pith_short_8","alias_value":"MEZPWUJ6","created_at":"2026-07-04T16:50:39Z"}],"graph_snapshots":[{"event_id":"sha256:7a4b87cde774ef68acedbf1118030eee3a727f4599c722ab459c470f7982d86f","target":"graph","created_at":"2026-07-04T16:50:39Z","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/0501401/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use the Hamilton-Jacobi theory to study the nonlinear evolutions of inhomogeneous spacetimes during inflation in generalized gravity. We find the exact solutions to the lowest order Hamilton-Jacobi equation for special scalar potentials and introduce an approximation method for general potentials. The conserved quantity invariant under a change of timelike hypersurfaces proves useful in dealing with gravitational perturbations. In the long-wavelength approximation, we find a conserved quantity related to the new canonical variable that makes the Hamiltonian density vanish, and calculate the","authors_text":"Doo Jong Song, Sang Pyo Kim, Seoktae Koh","cross_cats":["gr-qc","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-01-19T02:36:49Z","title":"Nonlinear Evolutions and Non-Gaussianity in Generalized Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0501401","kind":"arxiv","version":2},"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":"sha256:83fb6bc412010009f6cc352feebff07f2153db998606b035be95711774fb2f48","target":"record","created_at":"2026-07-04T16:50:39Z","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":"4adae407cb221ee70e52d76fd5b3f0884dd8db3261bca55b84dbba247b066c97","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2005-01-19T02:36:49Z","title_canon_sha256":"327b78ec1005e18fe5b4ed202e575097fab0b255ce9ccba97a1feb633da1148f"},"schema_version":"1.0","source":{"id":"astro-ph/0501401","kind":"arxiv","version":2}},"canonical_sha256":"6132fb513e1f6d31eabe9a537d242076efe46e2608642e6a58324b1bb38eff5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6132fb513e1f6d31eabe9a537d242076efe46e2608642e6a58324b1bb38eff5b","first_computed_at":"2026-07-04T16:50:39.998626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:50:39.998626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sh8p2Aev2VfjIn/RknF1urHNeJIjV6MnfHPn0K3w9gIJRBstqq5oCVQRtieKVouaTl0XCGssU2eRLQ5uPGaQBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:50:39.999016Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0501401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83fb6bc412010009f6cc352feebff07f2153db998606b035be95711774fb2f48","sha256:7a4b87cde774ef68acedbf1118030eee3a727f4599c722ab459c470f7982d86f"],"state_sha256":"2e160efbb612802a81e3cf629f43559e29c4bd72c94781663cd4661c07c0296a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MR7N45Mz2avCj2iys2hcjCZxG9AXzn17K+RjesNgpfIc7/VYt93J0/tkoGNuwCM8J5zUOK63W2I1tDNCFe+ECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:55:04.699429Z","bundle_sha256":"99dfb5b2a98215d8754577097c5391998cf8105efb2a62c9299664cf8bb5262b"}}