{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:E24WEMH7KYBLZVWZ2ELGJKGILT","short_pith_number":"pith:E24WEMH7","schema_version":"1.0","canonical_sha256":"26b96230ff5602bcd6d9d11664a8c85ce5939f1fc1191601d5cfdb76c0b2b351","source":{"kind":"arxiv","id":"2202.13308","version":3},"attestation_state":"computed","paper":{"title":"Modified Starobinsky inflation by the $R\\ln\\left( \\square\\right) R$ term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"J. Bezerra-Sobrinho, L. G. Medeiros","submitted_at":"2022-02-27T08:05:26Z","abstract_excerpt":"In the context of effective theories of gravity, a minimalist bottom-up approach which takes into account $1$-loop quantum corrections leads to modifications in the Einstein-Hilbert action through the inclusion of four extra terms: $R^{2}$, $C_{\\kappa\\rho\\alpha\\beta}C^{\\kappa\\rho\\alpha\\beta}$, $R\\ln\\left( \\square\\right) R$ and $C_{\\kappa\\rho\\alpha\\beta}\\ln\\left( \\square\\right) C^{\\kappa\\rho\\alpha\\beta}$. The first two terms are necessary to guarantee the renormalizability of the gravitational theory, and the last two terms (nonlocal terms) arise from the integration of massless/light matter fi"},"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":"2202.13308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-02-27T08:05:26Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"d45f8f5a13c1df53f9a281e33033a64eefee9fd644c1dfa7cc86603c1470be92","abstract_canon_sha256":"3ce3c8d0617bd6adc2d454fa837084f87aac61453100d0941ae6602ccb1cf848"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:36:02.835755Z","signature_b64":"s4a8EGHvFa6mbvA4c28ah2jNh7jjX8X3yb1Aka7O8GRIJJJl7xx1glm2OY+1iKFnZyA1bpJJMQJi6EeP92eCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26b96230ff5602bcd6d9d11664a8c85ce5939f1fc1191601d5cfdb76c0b2b351","last_reissued_at":"2026-07-05T05:36:02.835193Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:36:02.835193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modified Starobinsky inflation by the $R\\ln\\left( \\square\\right) R$ term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"J. Bezerra-Sobrinho, L. G. Medeiros","submitted_at":"2022-02-27T08:05:26Z","abstract_excerpt":"In the context of effective theories of gravity, a minimalist bottom-up approach which takes into account $1$-loop quantum corrections leads to modifications in the Einstein-Hilbert action through the inclusion of four extra terms: $R^{2}$, $C_{\\kappa\\rho\\alpha\\beta}C^{\\kappa\\rho\\alpha\\beta}$, $R\\ln\\left( \\square\\right) R$ and $C_{\\kappa\\rho\\alpha\\beta}\\ln\\left( \\square\\right) C^{\\kappa\\rho\\alpha\\beta}$. The first two terms are necessary to guarantee the renormalizability of the gravitational theory, and the last two terms (nonlocal terms) arise from the integration of massless/light matter fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.13308","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.13308/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2202.13308","created_at":"2026-07-05T05:36:02.835253+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.13308v3","created_at":"2026-07-05T05:36:02.835253+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.13308","created_at":"2026-07-05T05:36:02.835253+00:00"},{"alias_kind":"pith_short_12","alias_value":"E24WEMH7KYBL","created_at":"2026-07-05T05:36:02.835253+00:00"},{"alias_kind":"pith_short_16","alias_value":"E24WEMH7KYBLZVWZ","created_at":"2026-07-05T05:36:02.835253+00:00"},{"alias_kind":"pith_short_8","alias_value":"E24WEMH7","created_at":"2026-07-05T05:36:02.835253+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/E24WEMH7KYBLZVWZ2ELGJKGILT","json":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT.json","graph_json":"https://pith.science/api/pith-number/E24WEMH7KYBLZVWZ2ELGJKGILT/graph.json","events_json":"https://pith.science/api/pith-number/E24WEMH7KYBLZVWZ2ELGJKGILT/events.json","paper":"https://pith.science/paper/E24WEMH7"},"agent_actions":{"view_html":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT","download_json":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT.json","view_paper":"https://pith.science/paper/E24WEMH7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.13308&json=true","fetch_graph":"https://pith.science/api/pith-number/E24WEMH7KYBLZVWZ2ELGJKGILT/graph.json","fetch_events":"https://pith.science/api/pith-number/E24WEMH7KYBLZVWZ2ELGJKGILT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT/action/storage_attestation","attest_author":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT/action/author_attestation","sign_citation":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT/action/citation_signature","submit_replication":"https://pith.science/pith/E24WEMH7KYBLZVWZ2ELGJKGILT/action/replication_record"}},"created_at":"2026-07-05T05:36:02.835253+00:00","updated_at":"2026-07-05T05:36:02.835253+00:00"}