{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z5HGPJRLAP2QOOMIKWEILBN5GF","short_pith_number":"pith:Z5HGPJRL","schema_version":"1.0","canonical_sha256":"cf4e67a62b03f507398855888585bd3156124b50b945871ae0b4bc2f5b62645b","source":{"kind":"arxiv","id":"1601.07585","version":2},"attestation_state":"computed","paper":{"title":"The Equation of State Approach to Cosmological Perturbations in f(R) Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Boris Bolliet, Jonathan A. Pearson, Richard A. Battye","submitted_at":"2016-01-27T22:04:30Z","abstract_excerpt":"The discovery of apparent cosmological acceleration has spawned a huge number of dark energy and modified gravity theories. The f(R) models of gravity are obtained when one replaces the Ricci scalar in the Einstein-Hilbert action by an arbitrary function of the Ricci scalar. In this work we provide expressions for the equations of state (EoS) for perturbations which completely characterize the linearized perturbations in f(R) gravity, including the scalar, vector, and tensor modes. The EoS formalism is a powerful and elegant parametrization where the modification to General Relativity are trea"},"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":"1601.07585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-27T22:04:30Z","cross_cats_sorted":[],"title_canon_sha256":"e5c0ff9a859515864ecef05dba7ddf025b62655a9efec815989119805bf88bb0","abstract_canon_sha256":"f73a0cecde61f9d24db9c9bd8ea16ed1d584d1cd6cb6c1923a14b347276b0743"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:15.363019Z","signature_b64":"9o1pOwa++jFjbYR6M5atDessfCd6oXXtvkapNzU2B1ywFZR7k5pi67aDBsGn38VcAohK/03F4V6piSev45iICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf4e67a62b03f507398855888585bd3156124b50b945871ae0b4bc2f5b62645b","last_reissued_at":"2026-05-18T01:21:15.362420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:15.362420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Equation of State Approach to Cosmological Perturbations in f(R) Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Boris Bolliet, Jonathan A. Pearson, Richard A. Battye","submitted_at":"2016-01-27T22:04:30Z","abstract_excerpt":"The discovery of apparent cosmological acceleration has spawned a huge number of dark energy and modified gravity theories. The f(R) models of gravity are obtained when one replaces the Ricci scalar in the Einstein-Hilbert action by an arbitrary function of the Ricci scalar. In this work we provide expressions for the equations of state (EoS) for perturbations which completely characterize the linearized perturbations in f(R) gravity, including the scalar, vector, and tensor modes. The EoS formalism is a powerful and elegant parametrization where the modification to General Relativity are trea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07585","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":"1601.07585","created_at":"2026-05-18T01:21:15.362506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.07585v2","created_at":"2026-05-18T01:21:15.362506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07585","created_at":"2026-05-18T01:21:15.362506+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z5HGPJRLAP2Q","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z5HGPJRLAP2QOOMI","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z5HGPJRL","created_at":"2026-05-18T12:30:53.716459+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/Z5HGPJRLAP2QOOMIKWEILBN5GF","json":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF.json","graph_json":"https://pith.science/api/pith-number/Z5HGPJRLAP2QOOMIKWEILBN5GF/graph.json","events_json":"https://pith.science/api/pith-number/Z5HGPJRLAP2QOOMIKWEILBN5GF/events.json","paper":"https://pith.science/paper/Z5HGPJRL"},"agent_actions":{"view_html":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF","download_json":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF.json","view_paper":"https://pith.science/paper/Z5HGPJRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.07585&json=true","fetch_graph":"https://pith.science/api/pith-number/Z5HGPJRLAP2QOOMIKWEILBN5GF/graph.json","fetch_events":"https://pith.science/api/pith-number/Z5HGPJRLAP2QOOMIKWEILBN5GF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF/action/storage_attestation","attest_author":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF/action/author_attestation","sign_citation":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF/action/citation_signature","submit_replication":"https://pith.science/pith/Z5HGPJRLAP2QOOMIKWEILBN5GF/action/replication_record"}},"created_at":"2026-05-18T01:21:15.362506+00:00","updated_at":"2026-05-18T01:21:15.362506+00:00"}