{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3XWRBOM6MMJE55MR5YWSXK4LGT","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":"68737cd3f545a97b264c2142bfe69f81fda59df0620303ed4d5d4c368cd3d1c2","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-07-16T09:05:09Z","title_canon_sha256":"68f5f93cc725df22525f83af46559535b262e37452e46063506715f96b4fcece"},"schema_version":"1.0","source":{"id":"2107.07777","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.07777","created_at":"2026-07-05T03:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"2107.07777v2","created_at":"2026-07-05T03:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.07777","created_at":"2026-07-05T03:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"3XWRBOM6MMJE","created_at":"2026-07-05T03:34:45Z"},{"alias_kind":"pith_short_16","alias_value":"3XWRBOM6MMJE55MR","created_at":"2026-07-05T03:34:45Z"},{"alias_kind":"pith_short_8","alias_value":"3XWRBOM6","created_at":"2026-07-05T03:34:45Z"}],"graph_snapshots":[{"event_id":"sha256:5352ee4aab8154c1352dd804039364307d468c08916ec23bb45ffc4cf21d6c3c","target":"graph","created_at":"2026-07-05T03:34:45Z","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/2107.07777/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Loop Quantum Cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short range repulsive quantum effects at the Planck scale. In this work, we are interested in reproducing the effective Friedmann equation of LQC, by considering a generic $f(R,P,Q)$ theory of gravity, where $R=g^{\\mu\\nu}R_{\\mu\\nu}$ is the Ricci scalar, $P=R_{\\mu\\nu}R^{\\mu\\nu}$, and $Q=R_{\\alpha\\beta\\mu\\nu}R^{\\alpha\\beta\\mu\\nu}$ is the Kretschmann scalar. An order reduction technique allows us to work in $f(R,P,Q)$ theories which are perturbatively close to General Relativ","authors_text":"Daniele Vernieri, Francisco S. N. Lobo, Marcello Miranda, Salvatore Capozziello","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-07-16T09:05:09Z","title":"Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.07777","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":"sha256:34f32a35c38061925f786c97ec58b704f95d58c9aae4505d4962788a96c41ffd","target":"record","created_at":"2026-07-05T03:34:45Z","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":"68737cd3f545a97b264c2142bfe69f81fda59df0620303ed4d5d4c368cd3d1c2","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-07-16T09:05:09Z","title_canon_sha256":"68f5f93cc725df22525f83af46559535b262e37452e46063506715f96b4fcece"},"schema_version":"1.0","source":{"id":"2107.07777","kind":"arxiv","version":2}},"canonical_sha256":"dded10b99e63124ef591ee2d2bab8b34d8c770ab7b64a833dc57a4557a9c8a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dded10b99e63124ef591ee2d2bab8b34d8c770ab7b64a833dc57a4557a9c8a1e","first_computed_at":"2026-07-05T03:34:45.603369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:34:45.603369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X/kDQ2mRWiLwjdDJEkcRcWzdT2RnMGQT75DacfFS4IbcRdGpe2IQF+KvPasjqWY/gFc8q9xmb63+km9eUKXzBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:34:45.603871Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.07777","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34f32a35c38061925f786c97ec58b704f95d58c9aae4505d4962788a96c41ffd","sha256:5352ee4aab8154c1352dd804039364307d468c08916ec23bb45ffc4cf21d6c3c"],"state_sha256":"5a0ce27bb7fd67af7e2de82bdce65749149c94cd787c788d3c338850efac5001"}