{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SRO4UAJ2OHTPTZXIJ73WB2X5IK","short_pith_number":"pith:SRO4UAJ2","schema_version":"1.0","canonical_sha256":"945dca013a71e6f9e6e84ff760eafd42ab59bddc54a4c6659c7a97d4b74d01ce","source":{"kind":"arxiv","id":"2512.16551","version":3},"attestation_state":"computed","paper":{"title":"Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\\sigma_8$ tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Chunyu Li, Emmanuel N. Saridakis, Xin Ren, Yi-Fu Cai, Yuhang Yang","submitted_at":"2025-12-18T13:55:56Z","abstract_excerpt":"We investigate a perturbation-level modification of symmetric teleparallel gravity of the form $f(Q)=F(Q)+M\\sqrt{Q}$ and assess its potential to ease the $\\sigma_8$ tension. The square-root term leaves the background expansion unchanged at the level of FLRW cosmology, while modifying the effective gravitational coupling and thereby providing a decoupling between background evolution and structure-growth. Using the latest redshift-space distortion data, including DESI DR1 Full-Shape measurements, we constrain the model through its impact on the growth observable $f\\sigma_8(z)$ across three repr"},"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":"2512.16551","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-12-18T13:55:56Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"fed503f359eeb3d553ac40b9882fa5aa3c56e6b09506904b37127823e59f9232","abstract_canon_sha256":"59251e70577f0408bbe422c3d193681281c0c6eca47e4afb5d146d0fc13be1af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:05:04.669293Z","signature_b64":"eSpq//G+aZC23qL1G+FEY7pSAeoO84f7m5i5+WeE69S9fp6Yu7Mx3LwQEcrePK23szWvnsdjU27t/VUk4uygAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"945dca013a71e6f9e6e84ff760eafd42ab59bddc54a4c6659c7a97d4b74d01ce","last_reissued_at":"2026-05-26T02:05:04.668363Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:05:04.668363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\\sigma_8$ tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Chunyu Li, Emmanuel N. Saridakis, Xin Ren, Yi-Fu Cai, Yuhang Yang","submitted_at":"2025-12-18T13:55:56Z","abstract_excerpt":"We investigate a perturbation-level modification of symmetric teleparallel gravity of the form $f(Q)=F(Q)+M\\sqrt{Q}$ and assess its potential to ease the $\\sigma_8$ tension. The square-root term leaves the background expansion unchanged at the level of FLRW cosmology, while modifying the effective gravitational coupling and thereby providing a decoupling between background evolution and structure-growth. Using the latest redshift-space distortion data, including DESI DR1 Full-Shape measurements, we constrain the model through its impact on the growth observable $f\\sigma_8(z)$ across three repr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.16551","kind":"arxiv","version":3},"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/2512.16551/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":"2512.16551","created_at":"2026-05-26T02:05:04.668517+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.16551v3","created_at":"2026-05-26T02:05:04.668517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.16551","created_at":"2026-05-26T02:05:04.668517+00:00"},{"alias_kind":"pith_short_12","alias_value":"SRO4UAJ2OHTP","created_at":"2026-05-26T02:05:04.668517+00:00"},{"alias_kind":"pith_short_16","alias_value":"SRO4UAJ2OHTPTZXI","created_at":"2026-05-26T02:05:04.668517+00:00"},{"alias_kind":"pith_short_8","alias_value":"SRO4UAJ2","created_at":"2026-05-26T02:05:04.668517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2602.03110","citing_title":"Evidence for deviation in gravitational light deflection from general relativity at cosmological scales with KiDS-Legacy and CMB lensing","ref_index":79,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13914","citing_title":"The Amplitude-Growth Degeneracy and Implied $A_s$ Diagnostic for Background-Inert Modified Gravity","ref_index":37,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21962","citing_title":"Perturbation Dynamics and Structure Formation in Extended Proca-Nuevo Gravity","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2604.11865","citing_title":"Beyond the Cosmological Constant: Breaking the Geometric Degeneracy of $ f(Q) $ cosmology via Redshift-Space Distortions","ref_index":37,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK","json":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK.json","graph_json":"https://pith.science/api/pith-number/SRO4UAJ2OHTPTZXIJ73WB2X5IK/graph.json","events_json":"https://pith.science/api/pith-number/SRO4UAJ2OHTPTZXIJ73WB2X5IK/events.json","paper":"https://pith.science/paper/SRO4UAJ2"},"agent_actions":{"view_html":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK","download_json":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK.json","view_paper":"https://pith.science/paper/SRO4UAJ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.16551&json=true","fetch_graph":"https://pith.science/api/pith-number/SRO4UAJ2OHTPTZXIJ73WB2X5IK/graph.json","fetch_events":"https://pith.science/api/pith-number/SRO4UAJ2OHTPTZXIJ73WB2X5IK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK/action/storage_attestation","attest_author":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK/action/author_attestation","sign_citation":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK/action/citation_signature","submit_replication":"https://pith.science/pith/SRO4UAJ2OHTPTZXIJ73WB2X5IK/action/replication_record"}},"created_at":"2026-05-26T02:05:04.668517+00:00","updated_at":"2026-05-26T02:05:04.668517+00:00"}