{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FMLRQQE5C7KX3ZRHW2ZMRYKODI","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":"472cbf8af9b06e856ec08c0df53737589869a246e8868f37963517e6e41692b0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-19T10:14:01Z","title_canon_sha256":"986592308e46fac2573e117b60348c513640acad5d3d3370a3b5e172b658e263"},"schema_version":"1.0","source":{"id":"1111.4547","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4547","created_at":"2026-05-18T01:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4547v2","created_at":"2026-05-18T01:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4547","created_at":"2026-05-18T01:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"FMLRQQE5C7KX","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMLRQQE5C7KX3ZRH","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMLRQQE5","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:94657b0ef8d22b6f285f2f1dc9217dd3e9599a087bdf7776dceb7393f720d266","target":"graph","created_at":"2026-05-18T01:59:28Z","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 perform a detailed study of the modified gravity $f(R)$ models in the light of the basic geometrical symmetries, namely Lie and Noether point symmetries, which serve to illustrate the phenomenological viability of the modified gravity paradigm as a serious alternative to the traditional scalar field approaches. In particular, we utilize a model-independent selection rule based on first integrals, due to Noether symmetries of the equations of motion, in order to identify the viability of $f(R)$ models in the context of flat FLRW cosmologies. The Lie/Noether point symmetries are computed for ","authors_text":"A. Paliathanasis, M. Tsamparlis, S. Basilakos","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-19T10:14:01Z","title":"Constraints and analytical solutions of $f(R)$ theories of gravity using Noether symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4547","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":"sha256:41876d9ac329e3684c12116bcf30e9a3f46a54918672c58835964177e8332161","target":"record","created_at":"2026-05-18T01:59:28Z","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":"472cbf8af9b06e856ec08c0df53737589869a246e8868f37963517e6e41692b0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-19T10:14:01Z","title_canon_sha256":"986592308e46fac2573e117b60348c513640acad5d3d3370a3b5e172b658e263"},"schema_version":"1.0","source":{"id":"1111.4547","kind":"arxiv","version":2}},"canonical_sha256":"2b1718409d17d57de627b6b2c8e14e1a260f85d8cb7d78e98cae30ff8d48bf0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b1718409d17d57de627b6b2c8e14e1a260f85d8cb7d78e98cae30ff8d48bf0e","first_computed_at":"2026-05-18T01:59:28.947820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:28.947820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DSAbVvXw10rIlUIcxjAdCkAUEQ6Sn9Qb31ATQHpugUxM2NUz/dVyx/UdTFjifePlNNpGl8czg7suvk3grOfuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:28.948433Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4547","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41876d9ac329e3684c12116bcf30e9a3f46a54918672c58835964177e8332161","sha256:94657b0ef8d22b6f285f2f1dc9217dd3e9599a087bdf7776dceb7393f720d266"],"state_sha256":"00232cba8561ce5f3d53519ae7f13ed6581ba607794fccc4c3672cabf15159aa"}