{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NG47EQZYQ2SHD6E44OKGDFTU3T","short_pith_number":"pith:NG47EQZY","schema_version":"1.0","canonical_sha256":"69b9f2433886a471f89ce394619674dcece5ae5774ff442e74e9d870e42d4ecb","source":{"kind":"arxiv","id":"2302.06402","version":4},"attestation_state":"computed","paper":{"title":"Damping of gravitational waves in f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Haiyuan Feng, Laiyuan Su, Rong-Jia Yang, Wei-Qiang Chen","submitted_at":"2023-02-13T14:40:15Z","abstract_excerpt":"We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the evolution equations for waves in $f(R)$ gravity and demonstrate that Landau damping is absent while collision damping is present. In the Friedmann-Robertson-Walker (FRW) cosmology, we also examine the dynamical equations for the two modes. Furthermore, in the model $f(R) = R + \\alpha R^2$, we investigate the effect of the mass term on wave amplitude decay within t"},"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":"2302.06402","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-13T14:40:15Z","cross_cats_sorted":[],"title_canon_sha256":"aa34e4abbebb6a5c615a592ebea4558946714b4836c631bcd64fd6636d38137c","abstract_canon_sha256":"da8fe50d0b626e1cc605956659d01c8149798ebe7f5b48be1e73aa1b659030be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:29:12.045310Z","signature_b64":"rc/XYlCNhtawRcO/vql8ylRnFoeVQ4hju14Evi490r7EijuMOlFLF+e6yU8EHkkj+K12rVG58Qrl29DXQeKXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69b9f2433886a471f89ce394619674dcece5ae5774ff442e74e9d870e42d4ecb","last_reissued_at":"2026-07-05T10:29:12.044843Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:29:12.044843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Damping of gravitational waves in f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Haiyuan Feng, Laiyuan Su, Rong-Jia Yang, Wei-Qiang Chen","submitted_at":"2023-02-13T14:40:15Z","abstract_excerpt":"We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the evolution equations for waves in $f(R)$ gravity and demonstrate that Landau damping is absent while collision damping is present. In the Friedmann-Robertson-Walker (FRW) cosmology, we also examine the dynamical equations for the two modes. Furthermore, in the model $f(R) = R + \\alpha R^2$, we investigate the effect of the mass term on wave amplitude decay within t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06402","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.06402/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":"2302.06402","created_at":"2026-07-05T10:29:12.044895+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.06402v4","created_at":"2026-07-05T10:29:12.044895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06402","created_at":"2026-07-05T10:29:12.044895+00:00"},{"alias_kind":"pith_short_12","alias_value":"NG47EQZYQ2SH","created_at":"2026-07-05T10:29:12.044895+00:00"},{"alias_kind":"pith_short_16","alias_value":"NG47EQZYQ2SHD6E4","created_at":"2026-07-05T10:29:12.044895+00:00"},{"alias_kind":"pith_short_8","alias_value":"NG47EQZY","created_at":"2026-07-05T10:29:12.044895+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/NG47EQZYQ2SHD6E44OKGDFTU3T","json":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T.json","graph_json":"https://pith.science/api/pith-number/NG47EQZYQ2SHD6E44OKGDFTU3T/graph.json","events_json":"https://pith.science/api/pith-number/NG47EQZYQ2SHD6E44OKGDFTU3T/events.json","paper":"https://pith.science/paper/NG47EQZY"},"agent_actions":{"view_html":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T","download_json":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T.json","view_paper":"https://pith.science/paper/NG47EQZY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.06402&json=true","fetch_graph":"https://pith.science/api/pith-number/NG47EQZYQ2SHD6E44OKGDFTU3T/graph.json","fetch_events":"https://pith.science/api/pith-number/NG47EQZYQ2SHD6E44OKGDFTU3T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T/action/storage_attestation","attest_author":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T/action/author_attestation","sign_citation":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T/action/citation_signature","submit_replication":"https://pith.science/pith/NG47EQZYQ2SHD6E44OKGDFTU3T/action/replication_record"}},"created_at":"2026-07-05T10:29:12.044895+00:00","updated_at":"2026-07-05T10:29:12.044895+00:00"}