{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YK7QOIA6AYXOK4KOX5AXZS5PTS","short_pith_number":"pith:YK7QOIA6","canonical_record":{"source":{"id":"1606.05879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-19T15:07:13Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"0ab3449f11a5def65c118c4e893d0a0eb499a02afabb6dd55f8e395ac0e77a44","abstract_canon_sha256":"8a7845b7496eee1c7b53ce001aec03b2b664ae3e9bca3d7e8202d9128fca12ef"},"schema_version":"1.0"},"canonical_sha256":"c2bf07201e062ee5714ebf417ccbaf9c9f602d1bc2adf9d0d793a780aa85db9e","source":{"kind":"arxiv","id":"1606.05879","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05879","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05879v2","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05879","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"YK7QOIA6AYXO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YK7QOIA6AYXOK4KO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YK7QOIA6","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YK7QOIA6AYXOK4KOX5AXZS5PTS","target":"record","payload":{"canonical_record":{"source":{"id":"1606.05879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-19T15:07:13Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"0ab3449f11a5def65c118c4e893d0a0eb499a02afabb6dd55f8e395ac0e77a44","abstract_canon_sha256":"8a7845b7496eee1c7b53ce001aec03b2b664ae3e9bca3d7e8202d9128fca12ef"},"schema_version":"1.0"},"canonical_sha256":"c2bf07201e062ee5714ebf417ccbaf9c9f602d1bc2adf9d0d793a780aa85db9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:12.193568Z","signature_b64":"R4iI3XthVqHzsS5/NhfarIgMNf+PVjX9zxf47aPueMoSeri3iKAgMDlX8U/KSnGe7YJA6rtmz1gDFgwXEweABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2bf07201e062ee5714ebf417ccbaf9c9f602d1bc2adf9d0d793a780aa85db9e","last_reissued_at":"2026-05-18T01:05:12.192815Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:12.192815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.05879","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":"2026-05-18T01:05:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tONv54WXy4hkqJGZ4WnrLpCEIVj3nheUQaNzRfatFpNajV353GIJ9XtOKrg/sG+Sx9Ize4j/V3m2qoLQPxycDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:02:08.153629Z"},"content_sha256":"f1f05082e85f215f6d4d74b208d73780940dc14250bfd4a2bf577d2055dad646","schema_version":"1.0","event_id":"sha256:f1f05082e85f215f6d4d74b208d73780940dc14250bfd4a2bf577d2055dad646"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YK7QOIA6AYXOK4KOX5AXZS5PTS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"D. J. Brooker (Florida), R. P. Woodard (Florida), S. D. Odintsov (Barcelona)","submitted_at":"2016-06-19T15:07:13Z","abstract_excerpt":"We study the power spectra of f(R) inflation using a new technique in which the norm-squared of the mode functions is evolved. Our technique results in excellent analytic approximations for how the spectra depend upon the function $f(R)$. Although the spectra are numerically the same in the Jordan and Einstein frames for the same wave number $k$, they depend upon the geometries of these frames in quite different ways. For example, the power spectra in the two frames are different functions of the number of e-foldings until end of inflation. We discuss how future data on reheating can be used t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05879","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":""},"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":"2026-05-18T01:05:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+dRwXcI8EHDqZ5xinOssH7dX/lhHCYojXV9B1BG+laMZOADLnTD3hWoAwSPbCWX0NSkezRL8hjsh8/jU41HRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:02:08.154288Z"},"content_sha256":"0a047fdf24d47ae0d82d15e2fc7771df4930d5def411163650052eca1ec84504","schema_version":"1.0","event_id":"sha256:0a047fdf24d47ae0d82d15e2fc7771df4930d5def411163650052eca1ec84504"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/bundle.json","state_url":"https://pith.science/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/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":"2026-05-24T22:02:08Z","links":{"resolver":"https://pith.science/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS","bundle":"https://pith.science/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/bundle.json","state":"https://pith.science/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YK7QOIA6AYXOK4KOX5AXZS5PTS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YK7QOIA6AYXOK4KOX5AXZS5PTS","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":"8a7845b7496eee1c7b53ce001aec03b2b664ae3e9bca3d7e8202d9128fca12ef","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-19T15:07:13Z","title_canon_sha256":"0ab3449f11a5def65c118c4e893d0a0eb499a02afabb6dd55f8e395ac0e77a44"},"schema_version":"1.0","source":{"id":"1606.05879","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05879","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05879v2","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05879","created_at":"2026-05-18T01:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"YK7QOIA6AYXO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YK7QOIA6AYXOK4KO","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YK7QOIA6","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:0a047fdf24d47ae0d82d15e2fc7771df4930d5def411163650052eca1ec84504","target":"graph","created_at":"2026-05-18T01:05:12Z","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":"We study the power spectra of f(R) inflation using a new technique in which the norm-squared of the mode functions is evolved. Our technique results in excellent analytic approximations for how the spectra depend upon the function $f(R)$. Although the spectra are numerically the same in the Jordan and Einstein frames for the same wave number $k$, they depend upon the geometries of these frames in quite different ways. For example, the power spectra in the two frames are different functions of the number of e-foldings until end of inflation. We discuss how future data on reheating can be used t","authors_text":"D. J. Brooker (Florida), R. P. Woodard (Florida), S. D. Odintsov (Barcelona)","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-19T15:07:13Z","title":"Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05879","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:f1f05082e85f215f6d4d74b208d73780940dc14250bfd4a2bf577d2055dad646","target":"record","created_at":"2026-05-18T01:05:12Z","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":"8a7845b7496eee1c7b53ce001aec03b2b664ae3e9bca3d7e8202d9128fca12ef","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-19T15:07:13Z","title_canon_sha256":"0ab3449f11a5def65c118c4e893d0a0eb499a02afabb6dd55f8e395ac0e77a44"},"schema_version":"1.0","source":{"id":"1606.05879","kind":"arxiv","version":2}},"canonical_sha256":"c2bf07201e062ee5714ebf417ccbaf9c9f602d1bc2adf9d0d793a780aa85db9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2bf07201e062ee5714ebf417ccbaf9c9f602d1bc2adf9d0d793a780aa85db9e","first_computed_at":"2026-05-18T01:05:12.192815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:12.192815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R4iI3XthVqHzsS5/NhfarIgMNf+PVjX9zxf47aPueMoSeri3iKAgMDlX8U/KSnGe7YJA6rtmz1gDFgwXEweABg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:12.193568Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05879","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1f05082e85f215f6d4d74b208d73780940dc14250bfd4a2bf577d2055dad646","sha256:0a047fdf24d47ae0d82d15e2fc7771df4930d5def411163650052eca1ec84504"],"state_sha256":"3628c64137ce150483486dd43b905c62fcd2a4d1a36ee87042820f9cf58578a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMUkhVkB76m04i664vHdCP5kHxUtMaIlwTrYqQj+rmGAvH0+6MDEAfYpH6eOnqtEVVblwP5Oi2lUxAfizidxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T22:02:08.162667Z","bundle_sha256":"b85bbff87ae3f6da9419e3cc8c578d77ddeb4be291411e2501f60af7c41efb9a"}}