{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:KJDWLCH6TZ6XSONBJ4JFWBVWVJ","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":"3ee86c65a1ea14c4be809e9b232b7f6e740d741f20ba1f2583a6e8202ae8490c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-09T10:29:42Z","title_canon_sha256":"cda6730a816033ad350a17fe98ea86e2ca0d874ced9d5efe866fb68c61cc14ed"},"schema_version":"1.0","source":{"id":"2105.05050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05050","created_at":"2026-07-05T03:32:52Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05050v1","created_at":"2026-07-05T03:32:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05050","created_at":"2026-07-05T03:32:52Z"},{"alias_kind":"pith_short_12","alias_value":"KJDWLCH6TZ6X","created_at":"2026-07-05T03:32:52Z"},{"alias_kind":"pith_short_16","alias_value":"KJDWLCH6TZ6XSONB","created_at":"2026-07-05T03:32:52Z"},{"alias_kind":"pith_short_8","alias_value":"KJDWLCH6","created_at":"2026-07-05T03:32:52Z"}],"graph_snapshots":[{"event_id":"sha256:6c356afd06561608f311163d25b1c9186d309367db91d8d7adc39db56f76d6fe","target":"graph","created_at":"2026-07-05T03:32:52Z","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/2105.05050/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the framework of the mimetic approach, we study the $f(R,R_{\\mu\\nu}R^{\\mu\\nu})$ gravity with the Lagrange multiplier constraint and the scalar potential. We introduce field equations for the discussed theory and overview their properties. By using the general reconstruction scheme we obtain the power law cosmology model for the $f(R,R_{\\mu\\nu}R^{\\mu\\nu})=R+d(R_{\\mu\\nu}R^{\\mu\\nu})^p$ case as well as the model that describes symmetric bounce. Moreover, we reconstruct model, unifying both matter dominated and accelerated phases, where ordinary matter is neglected. Using inverted reconstruction","authors_text":"Adam Zenon Kaczmarek, Dominik Szcz\\k{e}\\'sniak","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-09T10:29:42Z","title":"Cosmology in the mimetic higher-curvature $f(R, R_{\\mu\\nu}R^{\\mu\\nu})$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05050","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":"sha256:0b2e4eada645e07bd0ac5d5ff8e91289dbece7280d77f627f61e5fa8779282ae","target":"record","created_at":"2026-07-05T03:32:52Z","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":"3ee86c65a1ea14c4be809e9b232b7f6e740d741f20ba1f2583a6e8202ae8490c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-05-09T10:29:42Z","title_canon_sha256":"cda6730a816033ad350a17fe98ea86e2ca0d874ced9d5efe866fb68c61cc14ed"},"schema_version":"1.0","source":{"id":"2105.05050","kind":"arxiv","version":1}},"canonical_sha256":"52476588fe9e7d7939a14f125b06b6aa62e058e8280d8220592dd2554eb43c74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52476588fe9e7d7939a14f125b06b6aa62e058e8280d8220592dd2554eb43c74","first_computed_at":"2026-07-05T03:32:52.878747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:32:52.878747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v5XxeQZj48ytIvJwIbEHShvWnWyY8QssjoVkXtKeGq8eJHVyqfPzPRU6GVEnpj7+79e2gnsO03MRD/ae6LVmCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:32:52.879232Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.05050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b2e4eada645e07bd0ac5d5ff8e91289dbece7280d77f627f61e5fa8779282ae","sha256:6c356afd06561608f311163d25b1c9186d309367db91d8d7adc39db56f76d6fe"],"state_sha256":"c917999cb4563128610247f8a69dd61b3870e61c8bf46bc997d174d7c2bf4896"}