{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WELGSZX6DIFWEPWM47YG67R5EQ","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":"2788766662dd81bf7d2998511b052f8f93247dda33cec28d9519b786317aaf65","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-04T08:29:45Z","title_canon_sha256":"93d9e991ceea4997d36a99c20e85700de8bdd99196ba1d1fa68233eda6a151c9"},"schema_version":"1.0","source":{"id":"1801.01274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01274","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01274v1","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01274","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"WELGSZX6DIFW","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WELGSZX6DIFWEPWM","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WELGSZX6","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:8e3288fd65fd934085a82586d81ac8169de869e0112d5bc913660fe1776ab487","target":"graph","created_at":"2026-05-18T00:25:11Z","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 $f\\left( R\\right) $-gravity with a spatially flat FLRW metric containing an ideal fluid, we use the method of invariant transformations to specify families of models which are integrable. We find three families of $f(R)$ theories for which new analytical solutions are given and closed-form solutions are provided.","authors_text":"Andronikos Paliathanasis, G. Papagiannopoulos, John D. Barrow, Spyros Basilakos","cross_cats":["astro-ph.CO","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-04T08:29:45Z","title":"New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01274","kind":"arxiv","version":1},"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":"sha256:34614ab65c7758e4f7f78d1c128f97e303f0623c25113342b5e337eb2734d2bf","target":"record","created_at":"2026-05-18T00:25:11Z","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":"2788766662dd81bf7d2998511b052f8f93247dda33cec28d9519b786317aaf65","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-04T08:29:45Z","title_canon_sha256":"93d9e991ceea4997d36a99c20e85700de8bdd99196ba1d1fa68233eda6a151c9"},"schema_version":"1.0","source":{"id":"1801.01274","kind":"arxiv","version":1}},"canonical_sha256":"b1166966fe1a0b623ecce7f06f7e3d24059a820edab7d60414650aa7f7561225","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1166966fe1a0b623ecce7f06f7e3d24059a820edab7d60414650aa7f7561225","first_computed_at":"2026-05-18T00:25:11.203380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:11.203380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"00oj9UgdIOAKcqLlkRrzlmCAkmeb9AHHYOxXpT7bzAu0QVqGRTNPEMAHsowpF+EyGMeajo/ZBUwaiE3z4/ZfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:11.203810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34614ab65c7758e4f7f78d1c128f97e303f0623c25113342b5e337eb2734d2bf","sha256:8e3288fd65fd934085a82586d81ac8169de869e0112d5bc913660fe1776ab487"],"state_sha256":"e4f36c13766ee86d23bbde04fd9bf730cdab27726f58924c448d4f39cd99d2d1"}