{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DJR2ZYOQVF57ITO3MN3A4DCMN6","short_pith_number":"pith:DJR2ZYOQ","schema_version":"1.0","canonical_sha256":"1a63ace1d0a97bf44ddb63760e0c4c6fb8e5782881cbc994a82e3e41702f0b57","source":{"kind":"arxiv","id":"1512.06373","version":2},"attestation_state":"computed","paper":{"title":"Non-local gravity with a Weyl-square term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Giulia Cusin, Michele Maggiore, Michele Mancarella, Stefano Foffa","submitted_at":"2015-12-20T13:38:52Z","abstract_excerpt":"Recent work has shown that modifications of General Relativity based on the addition to the action of a non-local term $R\\,\\Box^{-2}R$, or on the addition to the equations of motion of a term involving $(g_{\\mu\\nu}\\Box^{-1} R)$, produce dynamical models of dark energy which are cosmologically viable both at the background level and at the level of cosmological perturbations. We explore a more general class of models based on the addition to the action of terms proportional to $R_{\\mu\\nu}\\,\\Box^{-2}R^{\\mu\\nu}$ and $C_{\\mu\\nu\\rho\\sigma}\\, \\Box^{-2}C^{\\mu\\nu\\rho\\sigma}$, where $C_{\\mu\\nu\\rho\\sigm"},"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":"1512.06373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-20T13:38:52Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"57b3509d998a3c98d95cedfc1e6ad68c2a513ab99b08b4ef9b24cf77130f540a","abstract_canon_sha256":"9242047ac61c91f0eca5fea36e085f799aeeb6492c0f3ae28a9e90bf5b6807a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:32.614378Z","signature_b64":"Q0a3RLebZVQfmlIh24whaTIDXqVSTDrVBEOpk/Ok7EYzYczhJPMAUNolF0bbNRSMJ61128E3gA9su30HtOGBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a63ace1d0a97bf44ddb63760e0c4c6fb8e5782881cbc994a82e3e41702f0b57","last_reissued_at":"2026-05-18T01:20:32.613958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:32.613958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-local gravity with a Weyl-square term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Giulia Cusin, Michele Maggiore, Michele Mancarella, Stefano Foffa","submitted_at":"2015-12-20T13:38:52Z","abstract_excerpt":"Recent work has shown that modifications of General Relativity based on the addition to the action of a non-local term $R\\,\\Box^{-2}R$, or on the addition to the equations of motion of a term involving $(g_{\\mu\\nu}\\Box^{-1} R)$, produce dynamical models of dark energy which are cosmologically viable both at the background level and at the level of cosmological perturbations. We explore a more general class of models based on the addition to the action of terms proportional to $R_{\\mu\\nu}\\,\\Box^{-2}R^{\\mu\\nu}$ and $C_{\\mu\\nu\\rho\\sigma}\\, \\Box^{-2}C^{\\mu\\nu\\rho\\sigma}$, where $C_{\\mu\\nu\\rho\\sigm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06373","kind":"arxiv","version":2},"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":"1512.06373","created_at":"2026-05-18T01:20:32.614018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.06373v2","created_at":"2026-05-18T01:20:32.614018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06373","created_at":"2026-05-18T01:20:32.614018+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJR2ZYOQVF57","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJR2ZYOQVF57ITO3","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJR2ZYOQ","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.18004","citing_title":"Eikonal, nonlocality and regular black holes","ref_index":88,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6","json":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6.json","graph_json":"https://pith.science/api/pith-number/DJR2ZYOQVF57ITO3MN3A4DCMN6/graph.json","events_json":"https://pith.science/api/pith-number/DJR2ZYOQVF57ITO3MN3A4DCMN6/events.json","paper":"https://pith.science/paper/DJR2ZYOQ"},"agent_actions":{"view_html":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6","download_json":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6.json","view_paper":"https://pith.science/paper/DJR2ZYOQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.06373&json=true","fetch_graph":"https://pith.science/api/pith-number/DJR2ZYOQVF57ITO3MN3A4DCMN6/graph.json","fetch_events":"https://pith.science/api/pith-number/DJR2ZYOQVF57ITO3MN3A4DCMN6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6/action/storage_attestation","attest_author":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6/action/author_attestation","sign_citation":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6/action/citation_signature","submit_replication":"https://pith.science/pith/DJR2ZYOQVF57ITO3MN3A4DCMN6/action/replication_record"}},"created_at":"2026-05-18T01:20:32.614018+00:00","updated_at":"2026-05-18T01:20:32.614018+00:00"}