{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NJ2NHJQQ2ZSKAE4IGRSQSVTKEJ","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":"4a37ca6366a585940f914764a0a07d90ec2eb530e4f7a47f7c3600a979280d9c","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-27T16:38:08Z","title_canon_sha256":"83016702d9d212c5126e5b791b6c0612f3d60e85b515b3d33920b2f3ac92fe64"},"schema_version":"1.0","source":{"id":"1308.5921","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5921","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5921v2","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5921","created_at":"2026-05-18T02:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"NJ2NHJQQ2ZSK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NJ2NHJQQ2ZSKAE4I","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NJ2NHJQQ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:d3245f773deac2ff8271f7d7891984fd2f06fc79ecaa63507cac8b317011e2a7","target":"graph","created_at":"2026-05-18T02:51:08Z","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 this paper we investigate, from the dynamical systems perspective, the evolution of a Kantowski-Sachs metric in a generic class of $f(R)$ models. We present conditions (i. e., differentiability conditions, existence of minima, monotony intervals, etc.) for a free input function related to the $f(R)$, that guarantee the asymptotic stability of well-motivated physical solutions, specially, self-accelerated solutions, allowing to describe both inflationary- and late-time acceleration stages of the cosmic evolution. We discuss which $f(R)$ theories allows for a cosmic evolution with an acceptab","authors_text":"Armando A. Roque (Cienfuegos U., Catolica), CUBA), Genly Leon (Valparaiso U.","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-27T16:38:08Z","title":"Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5921","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:e6ff5b3a7dff3b4e0d460fc4e5bea13b62edb26bc528a01e6a44311972530d2f","target":"record","created_at":"2026-05-18T02:51:08Z","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":"4a37ca6366a585940f914764a0a07d90ec2eb530e4f7a47f7c3600a979280d9c","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-27T16:38:08Z","title_canon_sha256":"83016702d9d212c5126e5b791b6c0612f3d60e85b515b3d33920b2f3ac92fe64"},"schema_version":"1.0","source":{"id":"1308.5921","kind":"arxiv","version":2}},"canonical_sha256":"6a74d3a610d664a01388346509566a2270ceb1c9fae891fb3f1634b8c45e433e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a74d3a610d664a01388346509566a2270ceb1c9fae891fb3f1634b8c45e433e","first_computed_at":"2026-05-18T02:51:08.449079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:08.449079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9EH+gi4szXSVhtZ4GXQu0frJqATEq8W7YKF9PEEcUuUT+aTS23dme5IC9oFRryMTS798Q/KTo4vKCTxWSLfTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:08.449534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5921","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6ff5b3a7dff3b4e0d460fc4e5bea13b62edb26bc528a01e6a44311972530d2f","sha256:d3245f773deac2ff8271f7d7891984fd2f06fc79ecaa63507cac8b317011e2a7"],"state_sha256":"a14c74c97e7aba951e2a9baa55760c5c775540617f64bb185b50bfaf63608182"}