{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:AYMR6KIH72WJPE7L46BYDWWMZE","short_pith_number":"pith:AYMR6KIH","canonical_record":{"source":{"id":"astro-ph/0702278","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-02-10T01:08:21Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"b69d346a5d4b47be7d7bdb7e40e0b035c553e4d8487c97225fbee58480cb6667","abstract_canon_sha256":"b717bb94fd376cf8791f46554e0318de001d858b42a1e8a6b1e59c4d0fc0b939"},"schema_version":"1.0"},"canonical_sha256":"06191f2907feac9793ebe78381daccc926d6ea7445d51fb3385a5f4189d92488","source":{"kind":"arxiv","id":"astro-ph/0702278","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0702278","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0702278v2","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0702278","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"AYMR6KIH72WJ","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_16","alias_value":"AYMR6KIH72WJPE7L","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_8","alias_value":"AYMR6KIH","created_at":"2026-07-04T15:25:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:AYMR6KIH72WJPE7L46BYDWWMZE","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0702278","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-02-10T01:08:21Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"b69d346a5d4b47be7d7bdb7e40e0b035c553e4d8487c97225fbee58480cb6667","abstract_canon_sha256":"b717bb94fd376cf8791f46554e0318de001d858b42a1e8a6b1e59c4d0fc0b939"},"schema_version":"1.0"},"canonical_sha256":"06191f2907feac9793ebe78381daccc926d6ea7445d51fb3385a5f4189d92488","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:25:02.042859Z","signature_b64":"K2311WwzSHzeYnA24z/ZXZ8lMW1J1vLGgkBlQt5VFk7YN4e2JOjlqLT8TwkaGzNsDpj7KiJ72h8pr1NmvXLyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06191f2907feac9793ebe78381daccc926d6ea7445d51fb3385a5f4189d92488","last_reissued_at":"2026-07-04T15:25:02.042402Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:25:02.042402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0702278","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":"2026-07-04T15:25:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OeQNefBrdGr9eQtFNV78lZf6dGhnARrmjKo9g2t25c2zVMajbcX8qQz3ALzPCE4tAzMv0QDiqNQddyPPhxpaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:13:29.492435Z"},"content_sha256":"7f8a203adff09894c9575434e7fde49793f628d5f238fee36b4815a445b2b752","schema_version":"1.0","event_id":"sha256:7f8a203adff09894c9575434e7fde49793f628d5f238fee36b4815a445b2b752"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:AYMR6KIH72WJPE7L46BYDWWMZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Cosmological Solution in f(R) Models of Gravity","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph","authors_text":"Ignacy Sawicki, U. Chicago), Wayne Hu (KICP","submitted_at":"2007-02-10T01:08:21Z","abstract_excerpt":"We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the Ricci scalar, f(R). Using the example of f(R) = +/-\\mu^4/R we show that only such choices of f(R) where d^2f/dR^2>0 have stable high-curvature limits and well-behaved cosmological solutions with a proper era of matter domination. The remaining models enter a phase dominated by both matter and scalar kinetic energy where the scalar curvature remains low."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0702278","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/0702278/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":"2026-07-04T15:25:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XPyY47wuFR/1Fer+Ob8wB/sJfB0g6Xi4JZT8JBkf2tznEGewvnJqhap4sp3vbTcDqSPDd3afaIeMQmAiLJQdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:13:29.492960Z"},"content_sha256":"20715695ff5e70ea1c6fb64898e19fc950705987dc87fdfb503ab506859bb3d4","schema_version":"1.0","event_id":"sha256:20715695ff5e70ea1c6fb64898e19fc950705987dc87fdfb503ab506859bb3d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYMR6KIH72WJPE7L46BYDWWMZE/bundle.json","state_url":"https://pith.science/pith/AYMR6KIH72WJPE7L46BYDWWMZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYMR6KIH72WJPE7L46BYDWWMZE/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":"2026-08-15T23:13:29Z","links":{"resolver":"https://pith.science/pith/AYMR6KIH72WJPE7L46BYDWWMZE","bundle":"https://pith.science/pith/AYMR6KIH72WJPE7L46BYDWWMZE/bundle.json","state":"https://pith.science/pith/AYMR6KIH72WJPE7L46BYDWWMZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYMR6KIH72WJPE7L46BYDWWMZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:AYMR6KIH72WJPE7L46BYDWWMZE","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":"b717bb94fd376cf8791f46554e0318de001d858b42a1e8a6b1e59c4d0fc0b939","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-02-10T01:08:21Z","title_canon_sha256":"b69d346a5d4b47be7d7bdb7e40e0b035c553e4d8487c97225fbee58480cb6667"},"schema_version":"1.0","source":{"id":"astro-ph/0702278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0702278","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0702278v2","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0702278","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"AYMR6KIH72WJ","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_16","alias_value":"AYMR6KIH72WJPE7L","created_at":"2026-07-04T15:25:02Z"},{"alias_kind":"pith_short_8","alias_value":"AYMR6KIH","created_at":"2026-07-04T15:25:02Z"}],"graph_snapshots":[{"event_id":"sha256:20715695ff5e70ea1c6fb64898e19fc950705987dc87fdfb503ab506859bb3d4","target":"graph","created_at":"2026-07-04T15:25:02Z","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/0702278/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the Ricci scalar, f(R). Using the example of f(R) = +/-\\mu^4/R we show that only such choices of f(R) where d^2f/dR^2>0 have stable high-curvature limits and well-behaved cosmological solutions with a proper era of matter domination. The remaining models enter a phase dominated by both matter and scalar kinetic energy where the scalar curvature remains low.","authors_text":"Ignacy Sawicki, U. Chicago), Wayne Hu (KICP","cross_cats":["gr-qc","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-02-10T01:08:21Z","title":"Stability of Cosmological Solution in f(R) Models of Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0702278","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":"sha256:7f8a203adff09894c9575434e7fde49793f628d5f238fee36b4815a445b2b752","target":"record","created_at":"2026-07-04T15:25:02Z","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":"b717bb94fd376cf8791f46554e0318de001d858b42a1e8a6b1e59c4d0fc0b939","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-02-10T01:08:21Z","title_canon_sha256":"b69d346a5d4b47be7d7bdb7e40e0b035c553e4d8487c97225fbee58480cb6667"},"schema_version":"1.0","source":{"id":"astro-ph/0702278","kind":"arxiv","version":2}},"canonical_sha256":"06191f2907feac9793ebe78381daccc926d6ea7445d51fb3385a5f4189d92488","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06191f2907feac9793ebe78381daccc926d6ea7445d51fb3385a5f4189d92488","first_computed_at":"2026-07-04T15:25:02.042402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:25:02.042402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2311WwzSHzeYnA24z/ZXZ8lMW1J1vLGgkBlQt5VFk7YN4e2JOjlqLT8TwkaGzNsDpj7KiJ72h8pr1NmvXLyBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:25:02.042859Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0702278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f8a203adff09894c9575434e7fde49793f628d5f238fee36b4815a445b2b752","sha256:20715695ff5e70ea1c6fb64898e19fc950705987dc87fdfb503ab506859bb3d4"],"state_sha256":"52f4d1e033a45348e0c92234e97e955c97f96871ddb9cc7d089f9386fdbf0104"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zANkxWyTUZ2/c04OCSK3oXYJjtENI5Z8ToqceFMXz9mQipL3cQROVXEQCxwr4lOlEzrI6jM1L1UdqlRvvI8rDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T23:13:29.498097Z","bundle_sha256":"00f2d8f03ee278a85cf8e0be5c19b0e4e067b3417365242f39025947e4dfe29f"}}