{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:H37H4Z74JWAKVTPMXJZW3JZOP4","short_pith_number":"pith:H37H4Z74","canonical_record":{"source":{"id":"astro-ph/0605679","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-05-26T20:25:33Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"a98b0c199c65ab9c65aa7fc2d3b83c7e8e3757808d2c924a995f759eb45dce94","abstract_canon_sha256":"085e3cc4c17daf65d1c70452025c2fdc2eda154a72224818b99835e879ecff95"},"schema_version":"1.0"},"canonical_sha256":"3efe7e67fc4d80aacdecba736da72e7f1951ef653eb31b587081f2bc81dc2633","source":{"kind":"arxiv","id":"astro-ph/0605679","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0605679","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0605679v3","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0605679","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_12","alias_value":"H37H4Z74JWAK","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_16","alias_value":"H37H4Z74JWAKVTPM","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_8","alias_value":"H37H4Z74","created_at":"2026-07-04T16:58:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:H37H4Z74JWAKVTPMXJZW3JZOP4","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0605679","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-05-26T20:25:33Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"a98b0c199c65ab9c65aa7fc2d3b83c7e8e3757808d2c924a995f759eb45dce94","abstract_canon_sha256":"085e3cc4c17daf65d1c70452025c2fdc2eda154a72224818b99835e879ecff95"},"schema_version":"1.0"},"canonical_sha256":"3efe7e67fc4d80aacdecba736da72e7f1951ef653eb31b587081f2bc81dc2633","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:58:48.203668Z","signature_b64":"mCCfxI5wosxVztF/QFNOzn7aEPjAN15hFT2kYclrYWor8P4/g1M58Xe2lr+fOUKS1A/Iik2pyry/pVnQgKg4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3efe7e67fc4d80aacdecba736da72e7f1951ef653eb31b587081f2bc81dc2633","last_reissued_at":"2026-07-04T16:58:48.203294Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:58:48.203294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0605679","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":"2026-07-04T16:58:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lrVEByyDSl6rxrQmH5a4BAuZqcvjof2JTzTbVm9Hy3uOe9aHCw8cbxiNSALk3a6IvPWJFLhF4O+79jPL/GyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:53:19.381349Z"},"content_sha256":"ffe9d46cd94b039910a8339ac5a65b518b740bda2417bdbc9ffc6b20c0710102","schema_version":"1.0","event_id":"sha256:ffe9d46cd94b039910a8339ac5a65b518b740bda2417bdbc9ffc6b20c0710102"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:H37H4Z74JWAKVTPMXJZW3JZOP4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph","authors_text":"Christian T. Byrnes, David Wands (Portsmouth U., ICG)","submitted_at":"2006-05-26T20:25:33Z","abstract_excerpt":"We calculate the power spectra of primordial curvature and isocurvature perturbations from a general two field inflation model at next-to-leading order correction in a slow-roll expansion. In particular we calculate the spectral indices to second order in slow-roll parameters. We show that the cross-correlation of the curvature and isocurvature perturbations at the time of Hubble-exit during inflation is non-zero at first-order in slow-roll parameters. We apply our results to different classes of inflation, including inflaton and curvaton scenarios. The spectrum of primordial gravitational wav"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0605679","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/0605679/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":"2026-07-04T16:58:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s6c6RxojMQ9vzNXZmVLE9MeFxXR70wN9ll62VkC5EnGplhF/mOsa/hdJKyshqHaG26qTAJP7lBSsPGvCfuW2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:53:19.381923Z"},"content_sha256":"35fd6272d6794a1ea030216a13e1133b6b7df187505c927f35acfbe7cf622a3b","schema_version":"1.0","event_id":"sha256:35fd6272d6794a1ea030216a13e1133b6b7df187505c927f35acfbe7cf622a3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/bundle.json","state_url":"https://pith.science/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/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":"2026-08-09T05:53:19Z","links":{"resolver":"https://pith.science/pith/H37H4Z74JWAKVTPMXJZW3JZOP4","bundle":"https://pith.science/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/bundle.json","state":"https://pith.science/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H37H4Z74JWAKVTPMXJZW3JZOP4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:H37H4Z74JWAKVTPMXJZW3JZOP4","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":"085e3cc4c17daf65d1c70452025c2fdc2eda154a72224818b99835e879ecff95","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-05-26T20:25:33Z","title_canon_sha256":"a98b0c199c65ab9c65aa7fc2d3b83c7e8e3757808d2c924a995f759eb45dce94"},"schema_version":"1.0","source":{"id":"astro-ph/0605679","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0605679","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0605679v3","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0605679","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_12","alias_value":"H37H4Z74JWAK","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_16","alias_value":"H37H4Z74JWAKVTPM","created_at":"2026-07-04T16:58:48Z"},{"alias_kind":"pith_short_8","alias_value":"H37H4Z74","created_at":"2026-07-04T16:58:48Z"}],"graph_snapshots":[{"event_id":"sha256:35fd6272d6794a1ea030216a13e1133b6b7df187505c927f35acfbe7cf622a3b","target":"graph","created_at":"2026-07-04T16:58:48Z","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/0605679/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the power spectra of primordial curvature and isocurvature perturbations from a general two field inflation model at next-to-leading order correction in a slow-roll expansion. In particular we calculate the spectral indices to second order in slow-roll parameters. We show that the cross-correlation of the curvature and isocurvature perturbations at the time of Hubble-exit during inflation is non-zero at first-order in slow-roll parameters. We apply our results to different classes of inflation, including inflaton and curvaton scenarios. The spectrum of primordial gravitational wav","authors_text":"Christian T. Byrnes, David Wands (Portsmouth U., ICG)","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-05-26T20:25:33Z","title":"Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0605679","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:ffe9d46cd94b039910a8339ac5a65b518b740bda2417bdbc9ffc6b20c0710102","target":"record","created_at":"2026-07-04T16:58:48Z","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":"085e3cc4c17daf65d1c70452025c2fdc2eda154a72224818b99835e879ecff95","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-05-26T20:25:33Z","title_canon_sha256":"a98b0c199c65ab9c65aa7fc2d3b83c7e8e3757808d2c924a995f759eb45dce94"},"schema_version":"1.0","source":{"id":"astro-ph/0605679","kind":"arxiv","version":3}},"canonical_sha256":"3efe7e67fc4d80aacdecba736da72e7f1951ef653eb31b587081f2bc81dc2633","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3efe7e67fc4d80aacdecba736da72e7f1951ef653eb31b587081f2bc81dc2633","first_computed_at":"2026-07-04T16:58:48.203294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:58:48.203294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mCCfxI5wosxVztF/QFNOzn7aEPjAN15hFT2kYclrYWor8P4/g1M58Xe2lr+fOUKS1A/Iik2pyry/pVnQgKg4Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:58:48.203668Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0605679","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffe9d46cd94b039910a8339ac5a65b518b740bda2417bdbc9ffc6b20c0710102","sha256:35fd6272d6794a1ea030216a13e1133b6b7df187505c927f35acfbe7cf622a3b"],"state_sha256":"f9f87c6892814d1e63aaf69d5fef23fa9436e29096edebfe005e01878776d772"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZGi9vDY3aT1w/plCkSB+taJ5KCzHjQPmt0+lArfYf+24G/R9aV9M2XvwZEDlTk0hslh6byPb+qkc2OxillnLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:53:19.387460Z","bundle_sha256":"4d7937eed6b2842467fe07b3db370ab87ed808f1427820ceda26c48aa36f2400"}}