{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:BMYWLZKXJ6HZDSABKCTZLZQQNR","short_pith_number":"pith:BMYWLZKX","schema_version":"1.0","canonical_sha256":"0b3165e5574f8f91c80150a795e6106c4ce7acc82661fafbd0c3b4e280f4804a","source":{"kind":"arxiv","id":"2003.02299","version":2},"attestation_state":"computed","paper":{"title":"Cosmological Finsler Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"gr-qc","authors_text":"Christian Pfeifer, Manuel Hohmann, Nicoleta Voicu","submitted_at":"2020-03-04T19:28:54Z","abstract_excerpt":"Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lema\\^{i}tre-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a ver"},"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":"2003.02299","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-04T19:28:54Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"6ec8de999458d479d4e5812a46c4b8c2df4a146178e018ce3499da6cd6a903b6","abstract_canon_sha256":"38ef1503612f68275bcba91b4f38e5654ec6ed7d0c16a3c7d9bcfab5bed40403"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:00:16.807535Z","signature_b64":"p5ToIOZ6MsihdtdkYd41/WMk1bG5ttllz3u4tgCoLoGlq2hlJe9AhW8acUrpJIFei0gXQcIZyAQu7ufpD3+IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b3165e5574f8f91c80150a795e6106c4ce7acc82661fafbd0c3b4e280f4804a","last_reissued_at":"2026-07-05T01:00:16.807121Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:00:16.807121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological Finsler Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"gr-qc","authors_text":"Christian Pfeifer, Manuel Hohmann, Nicoleta Voicu","submitted_at":"2020-03-04T19:28:54Z","abstract_excerpt":"Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lema\\^{i}tre-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a ver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.02299","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/2003.02299/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":"2003.02299","created_at":"2026-07-05T01:00:16.807173+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.02299v2","created_at":"2026-07-05T01:00:16.807173+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.02299","created_at":"2026-07-05T01:00:16.807173+00:00"},{"alias_kind":"pith_short_12","alias_value":"BMYWLZKXJ6HZ","created_at":"2026-07-05T01:00:16.807173+00:00"},{"alias_kind":"pith_short_16","alias_value":"BMYWLZKXJ6HZDSAB","created_at":"2026-07-05T01:00:16.807173+00:00"},{"alias_kind":"pith_short_8","alias_value":"BMYWLZKX","created_at":"2026-07-05T01:00:16.807173+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24698","citing_title":"Reduction of the Finsler gravity vacuum equation and dynamics for the cosmological Landsberg spacetimes","ref_index":72,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18647","citing_title":"Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime","ref_index":76,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR","json":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR.json","graph_json":"https://pith.science/api/pith-number/BMYWLZKXJ6HZDSABKCTZLZQQNR/graph.json","events_json":"https://pith.science/api/pith-number/BMYWLZKXJ6HZDSABKCTZLZQQNR/events.json","paper":"https://pith.science/paper/BMYWLZKX"},"agent_actions":{"view_html":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR","download_json":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR.json","view_paper":"https://pith.science/paper/BMYWLZKX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.02299&json=true","fetch_graph":"https://pith.science/api/pith-number/BMYWLZKXJ6HZDSABKCTZLZQQNR/graph.json","fetch_events":"https://pith.science/api/pith-number/BMYWLZKXJ6HZDSABKCTZLZQQNR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR/action/storage_attestation","attest_author":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR/action/author_attestation","sign_citation":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR/action/citation_signature","submit_replication":"https://pith.science/pith/BMYWLZKXJ6HZDSABKCTZLZQQNR/action/replication_record"}},"created_at":"2026-07-05T01:00:16.807173+00:00","updated_at":"2026-07-05T01:00:16.807173+00:00"}