{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:3ENUGSMUSKN36H5M65DNDW2T7G","short_pith_number":"pith:3ENUGSMU","canonical_record":{"source":{"id":"hep-ph/0405155","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-05-17T15:07:32Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"09d1398a9046bf1da60d8f319a069c038b631b69d6f9f929ed00308d9201b0a8","abstract_canon_sha256":"d5b02fca776fb0778b9db64b1cfcc4b6e3c3c244e3bf5646a5d10dc7fe9df635"},"schema_version":"1.0"},"canonical_sha256":"d91b434994929bbf1facf746d1db53f9ab5fcf0330556471fc369b3609fd71e8","source":{"kind":"arxiv","id":"hep-ph/0405155","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0405155","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0405155v3","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0405155","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"3ENUGSMUSKN3","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"3ENUGSMUSKN36H5M","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"3ENUGSMU","created_at":"2026-07-04T15:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:3ENUGSMUSKN36H5M65DNDW2T7G","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0405155","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-05-17T15:07:32Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"09d1398a9046bf1da60d8f319a069c038b631b69d6f9f929ed00308d9201b0a8","abstract_canon_sha256":"d5b02fca776fb0778b9db64b1cfcc4b6e3c3c244e3bf5646a5d10dc7fe9df635"},"schema_version":"1.0"},"canonical_sha256":"d91b434994929bbf1facf746d1db53f9ab5fcf0330556471fc369b3609fd71e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:26:44.593429Z","signature_b64":"KsDBgiMizM2KY0LBnU3Jhdsqpf6HFvg4KeRVzCq/hWjA+c9U+ShpkJTAWUYcS9D2wqDqmp9baqHD1nSr6loSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d91b434994929bbf1facf746d1db53f9ab5fcf0330556471fc369b3609fd71e8","last_reissued_at":"2026-07-04T15:26:44.593006Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:26:44.593006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0405155","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":"2026-07-04T15:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uyYSN2hjsPyqLkmgPUj2zXSdedFaxXyy+Gh2zAANiOf7TCunB5j0W7w3zx0zWuVsDofsEdy2PWJ7/aVS9wGLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:45:23.931453Z"},"content_sha256":"17131ccf657a4d2aa24b5243f6fbadfd52f034d868293754b0a3677a03cb7f2d","schema_version":"1.0","event_id":"sha256:17131ccf657a4d2aa24b5243f6fbadfd52f034d868293754b0a3677a03cb7f2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:3ENUGSMUSKN36H5M65DNDW2T7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second Order General Slow-Roll Power Spectrum","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"hep-ph","authors_text":"Ewan D. Stewart, Jeongyeol Choe, Jinn-Ouk Gong","submitted_at":"2004-05-17T15:07:32Z","abstract_excerpt":"Recent combined results from the Wilkinson Microwave Anisotropy Probe (WMAP) and Sloan Digital Sky Survey (SDSS) provide a remarkable set of data which requires more accurate and general investigation. Here we derive formulae for the power spectrum P(k) of the density perturbations produced during inflation in the general slow-roll approximation with second order corrections. Also, using the result, we derive the power spectrum in the standard slow-roll picture with previously unknown third order corrections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0405155","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/hep-ph/0405155/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":"2026-07-04T15:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TF14jCFo/Y5puIg3eSUhkJB9tgaDEck3Z+kbki3VjqshZkq4ZBIy1yMwp6ITArluYheq1UFQfX3HntAuOdtmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:45:23.932051Z"},"content_sha256":"aefa4c081c3dfa7762182d79a597965ebbabab309ec12630b1771a6a610135c2","schema_version":"1.0","event_id":"sha256:aefa4c081c3dfa7762182d79a597965ebbabab309ec12630b1771a6a610135c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ENUGSMUSKN36H5M65DNDW2T7G/bundle.json","state_url":"https://pith.science/pith/3ENUGSMUSKN36H5M65DNDW2T7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ENUGSMUSKN36H5M65DNDW2T7G/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":"2026-08-07T04:45:23Z","links":{"resolver":"https://pith.science/pith/3ENUGSMUSKN36H5M65DNDW2T7G","bundle":"https://pith.science/pith/3ENUGSMUSKN36H5M65DNDW2T7G/bundle.json","state":"https://pith.science/pith/3ENUGSMUSKN36H5M65DNDW2T7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ENUGSMUSKN36H5M65DNDW2T7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:3ENUGSMUSKN36H5M65DNDW2T7G","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":"d5b02fca776fb0778b9db64b1cfcc4b6e3c3c244e3bf5646a5d10dc7fe9df635","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2004-05-17T15:07:32Z","title_canon_sha256":"09d1398a9046bf1da60d8f319a069c038b631b69d6f9f929ed00308d9201b0a8"},"schema_version":"1.0","source":{"id":"hep-ph/0405155","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0405155","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0405155v3","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0405155","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"3ENUGSMUSKN3","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"3ENUGSMUSKN36H5M","created_at":"2026-07-04T15:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"3ENUGSMU","created_at":"2026-07-04T15:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:aefa4c081c3dfa7762182d79a597965ebbabab309ec12630b1771a6a610135c2","target":"graph","created_at":"2026-07-04T15:26:44Z","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/hep-ph/0405155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent combined results from the Wilkinson Microwave Anisotropy Probe (WMAP) and Sloan Digital Sky Survey (SDSS) provide a remarkable set of data which requires more accurate and general investigation. Here we derive formulae for the power spectrum P(k) of the density perturbations produced during inflation in the general slow-roll approximation with second order corrections. Also, using the result, we derive the power spectrum in the standard slow-roll picture with previously unknown third order corrections.","authors_text":"Ewan D. Stewart, Jeongyeol Choe, Jinn-Ouk Gong","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-05-17T15:07:32Z","title":"Second Order General Slow-Roll Power Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0405155","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":"sha256:17131ccf657a4d2aa24b5243f6fbadfd52f034d868293754b0a3677a03cb7f2d","target":"record","created_at":"2026-07-04T15:26:44Z","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":"d5b02fca776fb0778b9db64b1cfcc4b6e3c3c244e3bf5646a5d10dc7fe9df635","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2004-05-17T15:07:32Z","title_canon_sha256":"09d1398a9046bf1da60d8f319a069c038b631b69d6f9f929ed00308d9201b0a8"},"schema_version":"1.0","source":{"id":"hep-ph/0405155","kind":"arxiv","version":3}},"canonical_sha256":"d91b434994929bbf1facf746d1db53f9ab5fcf0330556471fc369b3609fd71e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d91b434994929bbf1facf746d1db53f9ab5fcf0330556471fc369b3609fd71e8","first_computed_at":"2026-07-04T15:26:44.593006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:26:44.593006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KsDBgiMizM2KY0LBnU3Jhdsqpf6HFvg4KeRVzCq/hWjA+c9U+ShpkJTAWUYcS9D2wqDqmp9baqHD1nSr6loSDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:26:44.593429Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0405155","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17131ccf657a4d2aa24b5243f6fbadfd52f034d868293754b0a3677a03cb7f2d","sha256:aefa4c081c3dfa7762182d79a597965ebbabab309ec12630b1771a6a610135c2"],"state_sha256":"63cc2bee6415619eb3fb49e6cfa56897289c3c37e68ec3ee3dd40bb0909b8690"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9NmZwWL6LwHHRx2yjvmxU4X/Mz8fDs3BHAuH3oNBy1+s3iI4NYgXyrAAfWDbFc6VlleWhUV/Maw29SCMMziRCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T04:45:23.937008Z","bundle_sha256":"bddce4bd3ddad7673452ba980470d40a77e10465e4ceb17170d766c87ee4036b"}}