{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:5BNGA7IZ52YLMTDS5GVLMMKSWJ","short_pith_number":"pith:5BNGA7IZ","schema_version":"1.0","canonical_sha256":"e85a607d19eeb0b64c72e9aab63152b275524b4026e4580d45fae42f8522fe38","source":{"kind":"arxiv","id":"2409.19535","version":2},"attestation_state":"computed","paper":{"title":"Stable massless scalar polarization 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":"Peng-Cheng Li, Xin-Dong Du","submitted_at":"2024-09-29T03:35:30Z","abstract_excerpt":"Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating from a scalar field, which is a combination of the longitudinal and breathing modes. When the scalar mass of f(R) is zero, the mixed mode will reduce to a pure breathing mode with the disappearance of the longitudinal mode. However, this reducing seems to be disallowed because a positive scalar mass is often required to maintain the stability of the cosmolog"},"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":"2409.19535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-29T03:35:30Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"58c2fe2da3e5b4e014f0d0a3b4ac77f954ed7a668c0aec58643c54d03822b856","abstract_canon_sha256":"2eeb6712778c0e28ab0623da529ce6ce97410a4612fad3481c9e8d92328c30fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:29:02.105303Z","signature_b64":"vwDki16qZI3f4SPVUr6ahYatfVByH5vcFt9ClufKw8yA40f2hB9046PXGEL0CB0W9wnigDmzSBi46+4KRdLLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e85a607d19eeb0b64c72e9aab63152b275524b4026e4580d45fae42f8522fe38","last_reissued_at":"2026-07-05T11:29:02.104789Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:29:02.104789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable massless scalar polarization 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":"Peng-Cheng Li, Xin-Dong Du","submitted_at":"2024-09-29T03:35:30Z","abstract_excerpt":"Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating from a scalar field, which is a combination of the longitudinal and breathing modes. When the scalar mass of f(R) is zero, the mixed mode will reduce to a pure breathing mode with the disappearance of the longitudinal mode. However, this reducing seems to be disallowed because a positive scalar mass is often required to maintain the stability of the cosmolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19535","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.19535/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":"2409.19535","created_at":"2026-07-05T11:29:02.104850+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.19535v2","created_at":"2026-07-05T11:29:02.104850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19535","created_at":"2026-07-05T11:29:02.104850+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BNGA7IZ52YL","created_at":"2026-07-05T11:29:02.104850+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BNGA7IZ52YLMTDS","created_at":"2026-07-05T11:29:02.104850+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BNGA7IZ","created_at":"2026-07-05T11:29:02.104850+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/5BNGA7IZ52YLMTDS5GVLMMKSWJ","json":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ.json","graph_json":"https://pith.science/api/pith-number/5BNGA7IZ52YLMTDS5GVLMMKSWJ/graph.json","events_json":"https://pith.science/api/pith-number/5BNGA7IZ52YLMTDS5GVLMMKSWJ/events.json","paper":"https://pith.science/paper/5BNGA7IZ"},"agent_actions":{"view_html":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ","download_json":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ.json","view_paper":"https://pith.science/paper/5BNGA7IZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.19535&json=true","fetch_graph":"https://pith.science/api/pith-number/5BNGA7IZ52YLMTDS5GVLMMKSWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/5BNGA7IZ52YLMTDS5GVLMMKSWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ/action/storage_attestation","attest_author":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ/action/author_attestation","sign_citation":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ/action/citation_signature","submit_replication":"https://pith.science/pith/5BNGA7IZ52YLMTDS5GVLMMKSWJ/action/replication_record"}},"created_at":"2026-07-05T11:29:02.104850+00:00","updated_at":"2026-07-05T11:29:02.104850+00:00"}