{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:3F2YSCRUIKXX3RNY6B4DG5QZOF","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":"5f7ce17ebc79e8a26b2ee89a32dbd0d21eeda25ee93dd45a7e50c19f2e894f3c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-08-04T16:17:51Z","title_canon_sha256":"b201d15c6fa79de8ae88d756778e70892bb3d2bc4a6dd7973c3f8e486b2b3e38"},"schema_version":"1.0","source":{"id":"2208.02741","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.02741","created_at":"2026-07-05T04:47:42Z"},{"alias_kind":"arxiv_version","alias_value":"2208.02741v2","created_at":"2026-07-05T04:47:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02741","created_at":"2026-07-05T04:47:42Z"},{"alias_kind":"pith_short_12","alias_value":"3F2YSCRUIKXX","created_at":"2026-07-05T04:47:42Z"},{"alias_kind":"pith_short_16","alias_value":"3F2YSCRUIKXX3RNY","created_at":"2026-07-05T04:47:42Z"},{"alias_kind":"pith_short_8","alias_value":"3F2YSCRU","created_at":"2026-07-05T04:47:42Z"}],"graph_snapshots":[{"event_id":"sha256:b5094f294e730c97982e930ad79540b2375b3166aa7ef3b692e6109cb28b7997","target":"graph","created_at":"2026-07-05T04:47:42Z","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/2208.02741/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In General Relativity, there have been many proposals for defining the gravitational energy density, notably those proposed by Einstein, Tolman, Landau and Lifshitz, Papapetrou, M{\\o}ller, and Weinberg. In this review, we firstly explored the energy--momentum complex in an $n^{th}$ order gravitational Lagrangian $L=L\\left(g_{\\mu\\nu}, g_{\\mu\\nu,i_{1}}, g_{\\mu\\nu,i_{1}i_{2}},g_{\\mu\\nu,i_{1}i_{2}i_{3}},\\cdots, g_{\\mu\\nu,i_{1}i_{2}i_{3}\\cdots i_{n}}\\right)$ and then in a gravitational Lagrangian as \\mbox{$L_{g}=(\\overline{R}+a_{0}R^{2}+\\sum_{k=1}^{p} a_{k}R\\Box^{k}R)\\sqrt{-g}$}. Its gravitational ","authors_text":"Gaetano Lambiase, Maurizio Capriolo, Salvatore Capozziello","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-08-04T16:17:51Z","title":"Energy-Momentum Complex in Higher Order Curvature-Based Local Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02741","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":"sha256:9cfe93448d42505ea6fe282cd838cc4086745aae4c80f4fd0e30caab40bbc640","target":"record","created_at":"2026-07-05T04:47:42Z","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":"5f7ce17ebc79e8a26b2ee89a32dbd0d21eeda25ee93dd45a7e50c19f2e894f3c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-08-04T16:17:51Z","title_canon_sha256":"b201d15c6fa79de8ae88d756778e70892bb3d2bc4a6dd7973c3f8e486b2b3e38"},"schema_version":"1.0","source":{"id":"2208.02741","kind":"arxiv","version":2}},"canonical_sha256":"d975890a3442af7dc5b8f078337619715ddfb65e5ce974a4507e55469ba2646a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d975890a3442af7dc5b8f078337619715ddfb65e5ce974a4507e55469ba2646a","first_computed_at":"2026-07-05T04:47:42.763679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:47:42.763679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J90c8hRVQVcwpTLXsVtt+QVZ/pfH5lv/C7AH4yEODrL5Ejgw5ohlgtWgd2063pYqX4XjDMKElBpjKbcfuQ4WBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:47:42.764072Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.02741","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cfe93448d42505ea6fe282cd838cc4086745aae4c80f4fd0e30caab40bbc640","sha256:b5094f294e730c97982e930ad79540b2375b3166aa7ef3b692e6109cb28b7997"],"state_sha256":"7fda2e7cc4b0526f378a6d3197df3ab782b217a60d2354297bcc37ba31234d88"}