{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QLACGPJCAGQTDM2XAKNMMTCYCO","short_pith_number":"pith:QLACGPJC","schema_version":"1.0","canonical_sha256":"82c0233d2201a131b357029ac64c58138fec295321109007b9c749436e35fb8e","source":{"kind":"arxiv","id":"1309.1758","version":1},"attestation_state":"computed","paper":{"title":"Finslerian perturbation for the $\\Lambda$CDM model","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sai Wang, Xin Li, Zhe Chang","submitted_at":"2013-09-06T10:03:13Z","abstract_excerpt":"We present Finslerian perturbation for the $\\Lambda$CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravita"},"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":"1309.1758","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2013-09-06T10:03:13Z","cross_cats_sorted":[],"title_canon_sha256":"05e5eb508f0523f3a9d80be845eee2533f66a4ab66080a1936b08d9f286540f4","abstract_canon_sha256":"e3e0031557e1bd2e18c87f7ebb7d3ea58875960fb90e381843fb026d9b168a58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:48.872594Z","signature_b64":"4OjzDSQ5Um9eluasQmDiwGopgyGIbynkJHdqhszpsIGFZFdysblDeVI9ANo5dCHh/H3j5oGqQVEui+Foo+ViCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82c0233d2201a131b357029ac64c58138fec295321109007b9c749436e35fb8e","last_reissued_at":"2026-05-18T01:47:48.872152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:48.872152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finslerian perturbation for the $\\Lambda$CDM model","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sai Wang, Xin Li, Zhe Chang","submitted_at":"2013-09-06T10:03:13Z","abstract_excerpt":"We present Finslerian perturbation for the $\\Lambda$CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravita"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1758","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":"1309.1758","created_at":"2026-05-18T01:47:48.872222+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.1758v1","created_at":"2026-05-18T01:47:48.872222+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1758","created_at":"2026-05-18T01:47:48.872222+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLACGPJCAGQT","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLACGPJCAGQTDM2X","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLACGPJC","created_at":"2026-05-18T12:27:57.521954+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/QLACGPJCAGQTDM2XAKNMMTCYCO","json":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO.json","graph_json":"https://pith.science/api/pith-number/QLACGPJCAGQTDM2XAKNMMTCYCO/graph.json","events_json":"https://pith.science/api/pith-number/QLACGPJCAGQTDM2XAKNMMTCYCO/events.json","paper":"https://pith.science/paper/QLACGPJC"},"agent_actions":{"view_html":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO","download_json":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO.json","view_paper":"https://pith.science/paper/QLACGPJC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.1758&json=true","fetch_graph":"https://pith.science/api/pith-number/QLACGPJCAGQTDM2XAKNMMTCYCO/graph.json","fetch_events":"https://pith.science/api/pith-number/QLACGPJCAGQTDM2XAKNMMTCYCO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO/action/storage_attestation","attest_author":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO/action/author_attestation","sign_citation":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO/action/citation_signature","submit_replication":"https://pith.science/pith/QLACGPJCAGQTDM2XAKNMMTCYCO/action/replication_record"}},"created_at":"2026-05-18T01:47:48.872222+00:00","updated_at":"2026-05-18T01:47:48.872222+00:00"}