{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FKQ4OXUYJ3AWFJSGIHKLLPKXIE","short_pith_number":"pith:FKQ4OXUY","schema_version":"1.0","canonical_sha256":"2aa1c75e984ec162a64641d4b5bd574111984097b8bef43e519e6f6df5e72d7c","source":{"kind":"arxiv","id":"1806.05042","version":1},"attestation_state":"computed","paper":{"title":"Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"G. Abbas, H. Nazar","submitted_at":"2018-06-11T09:55:38Z","abstract_excerpt":"In a recent paper, Herrera \\cite{2} (L. Herrera: Phys. Rev. D97, 044010(2018)) have proposed a new definition of complexity for static self-gravitating fluid in General Relativity. In the present article, we implement this definition of complexity for static self-gravitating fluid to case of $f(R)$ gravity. Here, we found that in the frame of $f(R)$ gravity the definition of complexity proposed by Herrera, entirely based on the quantity known as complexity factor which appears in the orthogonal splitting of the curvature tensor. It has been observed that fluid spheres possessing homogenous ene"},"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":"1806.05042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-06-11T09:55:38Z","cross_cats_sorted":[],"title_canon_sha256":"801db6d5b205bf221347513c8f35066b00edbd2f024dac1793253c64544710c1","abstract_canon_sha256":"6bc264d074de549cfeb28843083414502d42e7fdd21adede61ab4c5a5cf6a1d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:09.774532Z","signature_b64":"SdwzokCJCagGx2A6TQ8WFF+MJixEHeyWOIq2GIErngG/1IvnLTymP5ro4ovHpnAFcwLTUzYh/XD4oKPTOBryDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa1c75e984ec162a64641d4b5bd574111984097b8bef43e519e6f6df5e72d7c","last_reissued_at":"2026-05-18T00:02:09.773922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:09.773922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"G. Abbas, H. Nazar","submitted_at":"2018-06-11T09:55:38Z","abstract_excerpt":"In a recent paper, Herrera \\cite{2} (L. Herrera: Phys. Rev. D97, 044010(2018)) have proposed a new definition of complexity for static self-gravitating fluid in General Relativity. In the present article, we implement this definition of complexity for static self-gravitating fluid to case of $f(R)$ gravity. Here, we found that in the frame of $f(R)$ gravity the definition of complexity proposed by Herrera, entirely based on the quantity known as complexity factor which appears in the orthogonal splitting of the curvature tensor. It has been observed that fluid spheres possessing homogenous ene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05042","kind":"arxiv","version":1},"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":"1806.05042","created_at":"2026-05-18T00:02:09.774011+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.05042v1","created_at":"2026-05-18T00:02:09.774011+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05042","created_at":"2026-05-18T00:02:09.774011+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKQ4OXUYJ3AW","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKQ4OXUYJ3AWFJSG","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKQ4OXUY","created_at":"2026-05-18T12:32:22.470017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.29510","citing_title":"Radial oscillations of quark stars in light of current astrophysical constraints: A comparative study","ref_index":45,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE","json":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE.json","graph_json":"https://pith.science/api/pith-number/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/graph.json","events_json":"https://pith.science/api/pith-number/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/events.json","paper":"https://pith.science/paper/FKQ4OXUY"},"agent_actions":{"view_html":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE","download_json":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE.json","view_paper":"https://pith.science/paper/FKQ4OXUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.05042&json=true","fetch_graph":"https://pith.science/api/pith-number/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/graph.json","fetch_events":"https://pith.science/api/pith-number/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/action/storage_attestation","attest_author":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/action/author_attestation","sign_citation":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/action/citation_signature","submit_replication":"https://pith.science/pith/FKQ4OXUYJ3AWFJSGIHKLLPKXIE/action/replication_record"}},"created_at":"2026-05-18T00:02:09.774011+00:00","updated_at":"2026-05-18T00:02:09.774011+00:00"}