{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SXDDVR4DLOXZU2J3XH34KIAIPP","short_pith_number":"pith:SXDDVR4D","canonical_record":{"source":{"id":"1707.00984","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-02T17:07:28Z","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"title_canon_sha256":"52d0d39eaa979b8063961a83bf1d13b36314aeffd6bd484671dff2e4e7252f8e","abstract_canon_sha256":"470abda9d5a260742b761311118e4fd09910812f087dca335d7030f837836148"},"schema_version":"1.0"},"canonical_sha256":"95c63ac7835baf9a693bb9f7c520087be3031574a8bcc0e454630faaa80bf394","source":{"kind":"arxiv","id":"1707.00984","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00984","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00984v2","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00984","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"SXDDVR4DLOXZ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SXDDVR4DLOXZU2J3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SXDDVR4D","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SXDDVR4DLOXZU2J3XH34KIAIPP","target":"record","payload":{"canonical_record":{"source":{"id":"1707.00984","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-02T17:07:28Z","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"title_canon_sha256":"52d0d39eaa979b8063961a83bf1d13b36314aeffd6bd484671dff2e4e7252f8e","abstract_canon_sha256":"470abda9d5a260742b761311118e4fd09910812f087dca335d7030f837836148"},"schema_version":"1.0"},"canonical_sha256":"95c63ac7835baf9a693bb9f7c520087be3031574a8bcc0e454630faaa80bf394","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:17.746921Z","signature_b64":"PJp96EScBRvHyprdqQxoLAzc0nK1OAeRActyKNRd/3M+dcb12pjnziEMJwqrBYG6w20XIlX7ZwBvrXUbCFCEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95c63ac7835baf9a693bb9f7c520087be3031574a8bcc0e454630faaa80bf394","last_reissued_at":"2026-05-18T00:34:17.746283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:17.746283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.00984","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":"2026-05-18T00:34:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ExDwNp7QSJOPoLwfqqVKL2P5N4R8Q1owMstsBWePH05OpDEI8mfAxxzLL/JdQMS503/ld768bBqgorRfD0bDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:42:05.024864Z"},"content_sha256":"674f86a649675c15e5fb039243d9a6da572fbe3953954ced3a9299490433ee23","schema_version":"1.0","event_id":"sha256:674f86a649675c15e5fb039243d9a6da572fbe3953954ced3a9299490433ee23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SXDDVR4DLOXZU2J3XH34KIAIPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frame-dependence of higher-order inflationary observables in scalar-tensor theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Alexandros Karam, Kyriakos Tamvakis, Thomas Pappas","submitted_at":"2017-07-02T17:07:28Z","abstract_excerpt":"In the context of scalar-tensor theories of gravity we compute the third-order corrected spectral indices in the slow-roll approximation. The calculation is carried out by employing the Green's function method for scalar and tensor perturbations in both the Einstein and Jordan frames. Then, using the interrelations between the Hubble slow-roll parameters in the two frames we find that the frames are equivalent up to third order. Since the Hubble slow-roll parameters are related to the potential slow-roll parameters, we express the observables in terms of the latter which are manifestly invaria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00984","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":"2026-05-18T00:34:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kzeC9w8yoFpmAQqWKgdiPdnq6+gCf1qrGlV+jv5sMnLpbJEgamnFcQAkt/s+cFcJV0kJEQGkxpHh+Uw8XO0NBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:42:05.025564Z"},"content_sha256":"e87e509bc8c953d21e3d409b3bcb0693e243f8e2f5f649cc23bc0af745eeffca","schema_version":"1.0","event_id":"sha256:e87e509bc8c953d21e3d409b3bcb0693e243f8e2f5f649cc23bc0af745eeffca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/bundle.json","state_url":"https://pith.science/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/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":"2026-06-11T18:42:05Z","links":{"resolver":"https://pith.science/pith/SXDDVR4DLOXZU2J3XH34KIAIPP","bundle":"https://pith.science/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/bundle.json","state":"https://pith.science/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SXDDVR4DLOXZU2J3XH34KIAIPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SXDDVR4DLOXZU2J3XH34KIAIPP","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":"470abda9d5a260742b761311118e4fd09910812f087dca335d7030f837836148","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-02T17:07:28Z","title_canon_sha256":"52d0d39eaa979b8063961a83bf1d13b36314aeffd6bd484671dff2e4e7252f8e"},"schema_version":"1.0","source":{"id":"1707.00984","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00984","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00984v2","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00984","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"SXDDVR4DLOXZ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SXDDVR4DLOXZU2J3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SXDDVR4D","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:e87e509bc8c953d21e3d409b3bcb0693e243f8e2f5f649cc23bc0af745eeffca","target":"graph","created_at":"2026-05-18T00:34:17Z","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":"In the context of scalar-tensor theories of gravity we compute the third-order corrected spectral indices in the slow-roll approximation. The calculation is carried out by employing the Green's function method for scalar and tensor perturbations in both the Einstein and Jordan frames. Then, using the interrelations between the Hubble slow-roll parameters in the two frames we find that the frames are equivalent up to third order. Since the Hubble slow-roll parameters are related to the potential slow-roll parameters, we express the observables in terms of the latter which are manifestly invaria","authors_text":"Alexandros Karam, Kyriakos Tamvakis, Thomas Pappas","cross_cats":["astro-ph.CO","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-02T17:07:28Z","title":"Frame-dependence of higher-order inflationary observables in scalar-tensor theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00984","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":"sha256:674f86a649675c15e5fb039243d9a6da572fbe3953954ced3a9299490433ee23","target":"record","created_at":"2026-05-18T00:34:17Z","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":"470abda9d5a260742b761311118e4fd09910812f087dca335d7030f837836148","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-07-02T17:07:28Z","title_canon_sha256":"52d0d39eaa979b8063961a83bf1d13b36314aeffd6bd484671dff2e4e7252f8e"},"schema_version":"1.0","source":{"id":"1707.00984","kind":"arxiv","version":2}},"canonical_sha256":"95c63ac7835baf9a693bb9f7c520087be3031574a8bcc0e454630faaa80bf394","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95c63ac7835baf9a693bb9f7c520087be3031574a8bcc0e454630faaa80bf394","first_computed_at":"2026-05-18T00:34:17.746283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:17.746283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PJp96EScBRvHyprdqQxoLAzc0nK1OAeRActyKNRd/3M+dcb12pjnziEMJwqrBYG6w20XIlX7ZwBvrXUbCFCEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:17.746921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00984","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:674f86a649675c15e5fb039243d9a6da572fbe3953954ced3a9299490433ee23","sha256:e87e509bc8c953d21e3d409b3bcb0693e243f8e2f5f649cc23bc0af745eeffca"],"state_sha256":"a88de5fc7662057bd3f5e78a2659750f6cfa223b08caa8b2a60fa32dafb3747a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L6b355V85ENdLiJTUYop3/EVhQjvlLXEDBzFLygolHuPjMNAlFn/vvdGPtVaXrixToi1Gz4IvLx46mr0aKM9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T18:42:05.030134Z","bundle_sha256":"3bd1f5429d55ec080ff31436c5a7e05f6a6b2202643b5a8443f95dc18bf7be83"}}