{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:IVBR3PZ6ITW5HCXNM5A4SDEYMX","short_pith_number":"pith:IVBR3PZ6","schema_version":"1.0","canonical_sha256":"45431dbf3e44edd38aed6741c90c9865f41d892bd676896ce9a2b3028dee535f","source":{"kind":"arxiv","id":"1404.7823","version":3},"attestation_state":"computed","paper":{"title":"Lessons from $f(R,R_c^2,R_m^2, L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling","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":"2014-04-30T18:25:01Z","abstract_excerpt":"This paper studies a generic fourth-order theory of gravity with Lagrangian density $f(R,R_c^2,R_m^2, \\mathscr{L}_m)$. By considering explicit $R^2$ dependence and imposing the \"coherence condition\" $f_{R^2}\\!=\\!f_{R_m^2}\\!=\\! -f_{R_c^2}/4$, the field equations of $f(R,R^2,R_c^2,R_m^2, \\mathscr{L}_m)$ gravity can be smoothly reduced to that of $f(R,\\mathcal{G},\\mathscr{L}_m)$ generalized Gauss-Bonnet gravity. We use Noether's conservation law to study the $f(\\mathcal{R}_1,\\mathcal{R}_2\\ldots,\\mathcal{R}_n,\\mathscr{L}_m)$ model with nonminimal coupling between $\\mathscr{L}_m$ and Riemannian inv"},"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":"1404.7823","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-30T18:25:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"2251e0c24942ae2e2c8e68e1707c120847e36d2eb92b64e1ba94fe0e60671e66","abstract_canon_sha256":"8e7c82d5752c04c0c43da80e1a8503e5c316b8e2b7ffbf54d80009ed39244aa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:02.328611Z","signature_b64":"hmRe7WbM7FDeWKfgHw+egHvr6Nukj+dVXvuk4SSM3iimYU0AtMLzPcQ16LMSN7wWlhIr7ioDERc+CJ9nUt9wDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45431dbf3e44edd38aed6741c90c9865f41d892bd676896ce9a2b3028dee535f","last_reissued_at":"2026-05-18T01:37:02.328099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:02.328099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lessons from $f(R,R_c^2,R_m^2, L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling","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":"2014-04-30T18:25:01Z","abstract_excerpt":"This paper studies a generic fourth-order theory of gravity with Lagrangian density $f(R,R_c^2,R_m^2, \\mathscr{L}_m)$. By considering explicit $R^2$ dependence and imposing the \"coherence condition\" $f_{R^2}\\!=\\!f_{R_m^2}\\!=\\! -f_{R_c^2}/4$, the field equations of $f(R,R^2,R_c^2,R_m^2, \\mathscr{L}_m)$ gravity can be smoothly reduced to that of $f(R,\\mathcal{G},\\mathscr{L}_m)$ generalized Gauss-Bonnet gravity. We use Noether's conservation law to study the $f(\\mathcal{R}_1,\\mathcal{R}_2\\ldots,\\mathcal{R}_n,\\mathscr{L}_m)$ model with nonminimal coupling between $\\mathscr{L}_m$ and Riemannian inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7823","kind":"arxiv","version":3},"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":"1404.7823","created_at":"2026-05-18T01:37:02.328180+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7823v3","created_at":"2026-05-18T01:37:02.328180+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7823","created_at":"2026-05-18T01:37:02.328180+00:00"},{"alias_kind":"pith_short_12","alias_value":"IVBR3PZ6ITW5","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"IVBR3PZ6ITW5HCXN","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"IVBR3PZ6","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX","json":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX.json","graph_json":"https://pith.science/api/pith-number/IVBR3PZ6ITW5HCXNM5A4SDEYMX/graph.json","events_json":"https://pith.science/api/pith-number/IVBR3PZ6ITW5HCXNM5A4SDEYMX/events.json","paper":"https://pith.science/paper/IVBR3PZ6"},"agent_actions":{"view_html":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX","download_json":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX.json","view_paper":"https://pith.science/paper/IVBR3PZ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7823&json=true","fetch_graph":"https://pith.science/api/pith-number/IVBR3PZ6ITW5HCXNM5A4SDEYMX/graph.json","fetch_events":"https://pith.science/api/pith-number/IVBR3PZ6ITW5HCXNM5A4SDEYMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX/action/storage_attestation","attest_author":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX/action/author_attestation","sign_citation":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX/action/citation_signature","submit_replication":"https://pith.science/pith/IVBR3PZ6ITW5HCXNM5A4SDEYMX/action/replication_record"}},"created_at":"2026-05-18T01:37:02.328180+00:00","updated_at":"2026-05-18T01:37:02.328180+00:00"}