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In this paper the LBD model of alternative gravity with the Lagrangian density $\\mathscr{L}_{\\text{LBD}}=\\frac{1}{16\\pi}\\left[\\phi\\left( R +\\frac{a}{\\sqrt{-g}}{}^*RR + b\\mathcal{G}\\right)-\\frac{\\omega_{\\text{L}}}{\\phi}\\nabla_\\alpha \\phi \\nabla^\\alpha\\phi \\right]$ is developed, where ${}^*RR$ and $\\mathcal{G}$ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.05695","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-19T20:42:25Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"29c801b17e22c471e97978bb5ed405ac23379a4cab866848a5e0f9fe13ffc239","abstract_canon_sha256":"58166b38539da235f8afb5ce67aeada1008f3051a0dcad7965d62f866630d1af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:10.490236Z","signature_b64":"6zPkTxFTizAWDUyMuemB/f9vV9/sqwHL1YLXPY0HJLpdt4YzDKos5UGy36ydIOMdE6ahr+CxqbkSrBy7PapiBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2984df9896f85bcbe4e23818efee05a9108c1b3bda2ae98f496136f0d15424f0","last_reissued_at":"2026-05-18T01:22:10.489590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:10.489590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lovelock-Brans-Dicke gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"David Wenjie Tian, Ivan Booth","submitted_at":"2015-02-19T20:42:25Z","abstract_excerpt":"According to Lovelock's theorem, the Hilbert-Einstein and the Lovelock actions are indistinguishable from their field equations. However, they have different scalar-tensor counterparts, which correspond to the Brans-Dicke and the \\emph{Lovelock-Brans-Dicke} (LBD) gravities, respectively. In this paper the LBD model of alternative gravity with the Lagrangian density $\\mathscr{L}_{\\text{LBD}}=\\frac{1}{16\\pi}\\left[\\phi\\left( R +\\frac{a}{\\sqrt{-g}}{}^*RR + b\\mathcal{G}\\right)-\\frac{\\omega_{\\text{L}}}{\\phi}\\nabla_\\alpha \\phi \\nabla^\\alpha\\phi \\right]$ is developed, where ${}^*RR$ and $\\mathcal{G}$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05695","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.05695","created_at":"2026-05-18T01:22:10.489698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.05695v4","created_at":"2026-05-18T01:22:10.489698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05695","created_at":"2026-05-18T01:22:10.489698+00:00"},{"alias_kind":"pith_short_12","alias_value":"FGCN7GEW7BN4","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"FGCN7GEW7BN4XZHC","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"FGCN7GEW","created_at":"2026-05-18T12:29:19.899920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.09630","citing_title":"Chern-Simons gravitational term coupled to a spectator field","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE","json":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE.json","graph_json":"https://pith.science/api/pith-number/FGCN7GEW7BN4XZHCHAMO73QFVE/graph.json","events_json":"https://pith.science/api/pith-number/FGCN7GEW7BN4XZHCHAMO73QFVE/events.json","paper":"https://pith.science/paper/FGCN7GEW"},"agent_actions":{"view_html":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE","download_json":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE.json","view_paper":"https://pith.science/paper/FGCN7GEW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.05695&json=true","fetch_graph":"https://pith.science/api/pith-number/FGCN7GEW7BN4XZHCHAMO73QFVE/graph.json","fetch_events":"https://pith.science/api/pith-number/FGCN7GEW7BN4XZHCHAMO73QFVE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE/action/storage_attestation","attest_author":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE/action/author_attestation","sign_citation":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE/action/citation_signature","submit_replication":"https://pith.science/pith/FGCN7GEW7BN4XZHCHAMO73QFVE/action/replication_record"}},"created_at":"2026-05-18T01:22:10.489698+00:00","updated_at":"2026-05-18T01:22:10.489698+00:00"}