{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QJEDLSL5NUBMMKSCYJLL2YO6ZP","short_pith_number":"pith:QJEDLSL5","schema_version":"1.0","canonical_sha256":"824835c97d6d02c62a42c256bd61decbe95badc8560f6997080e4c5ee49cb2ce","source":{"kind":"arxiv","id":"1606.02212","version":4},"attestation_state":"computed","paper":{"title":"Strong energy condition and the repulsive character of f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Crislane S. Santos, Jailson S. Alcaniz, Janilo Santos, Salvatore Capozziello","submitted_at":"2016-06-07T16:54:30Z","abstract_excerpt":"The Raychaudhuri equation enables to examine the whole spacetime structure without specific solutions of Einstein's equations, playing a central role for the understanding of the gravitational interaction in Cosmology. In General Relativity, without considering a cosmological constant, a non-positive contribution in the Raychaudhuri equation is usually interpreted as the manifestation of the attractive character of gravity. In this case, particular energy conditions -- indeed the strong energy condition -- must be assumed in order to guarantee the attractive character. In the context of f(R) 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":"1606.02212","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-07T16:54:30Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"05ea07117af239efd6c4dff4aee6e9f8e5293c23f752b8cab247ff0e08327e4c","abstract_canon_sha256":"857a21a021225602aea4c63f0e42bec9eda458f68ba63e66fadce2fc0579ade6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:42.697669Z","signature_b64":"KBFJDJotn041cS7QahNX06NgWqId1HGResBBTgySMpyBiaDj0OxTixuPw54jSj8VibWluZCUu1sTTlgrNot4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"824835c97d6d02c62a42c256bd61decbe95badc8560f6997080e4c5ee49cb2ce","last_reissued_at":"2026-05-18T00:48:42.697223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:42.697223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong energy condition and the repulsive character of f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Crislane S. Santos, Jailson S. Alcaniz, Janilo Santos, Salvatore Capozziello","submitted_at":"2016-06-07T16:54:30Z","abstract_excerpt":"The Raychaudhuri equation enables to examine the whole spacetime structure without specific solutions of Einstein's equations, playing a central role for the understanding of the gravitational interaction in Cosmology. In General Relativity, without considering a cosmological constant, a non-positive contribution in the Raychaudhuri equation is usually interpreted as the manifestation of the attractive character of gravity. In this case, particular energy conditions -- indeed the strong energy condition -- must be assumed in order to guarantee the attractive character. In the context of f(R) g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02212","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":"1606.02212","created_at":"2026-05-18T00:48:42.697293+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.02212v4","created_at":"2026-05-18T00:48:42.697293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02212","created_at":"2026-05-18T00:48:42.697293+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJEDLSL5NUBM","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJEDLSL5NUBMMKSC","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJEDLSL5","created_at":"2026-05-18T12:30:39.010887+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/QJEDLSL5NUBMMKSCYJLL2YO6ZP","json":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP.json","graph_json":"https://pith.science/api/pith-number/QJEDLSL5NUBMMKSCYJLL2YO6ZP/graph.json","events_json":"https://pith.science/api/pith-number/QJEDLSL5NUBMMKSCYJLL2YO6ZP/events.json","paper":"https://pith.science/paper/QJEDLSL5"},"agent_actions":{"view_html":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP","download_json":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP.json","view_paper":"https://pith.science/paper/QJEDLSL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.02212&json=true","fetch_graph":"https://pith.science/api/pith-number/QJEDLSL5NUBMMKSCYJLL2YO6ZP/graph.json","fetch_events":"https://pith.science/api/pith-number/QJEDLSL5NUBMMKSCYJLL2YO6ZP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP/action/storage_attestation","attest_author":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP/action/author_attestation","sign_citation":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP/action/citation_signature","submit_replication":"https://pith.science/pith/QJEDLSL5NUBMMKSCYJLL2YO6ZP/action/replication_record"}},"created_at":"2026-05-18T00:48:42.697293+00:00","updated_at":"2026-05-18T00:48:42.697293+00:00"}