{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:XRSBSMXNMNESGY5MD4UH43AR3D","short_pith_number":"pith:XRSBSMXN","schema_version":"1.0","canonical_sha256":"bc641932ed63492363ac1f287e6c11d8e02d4a98a5618c4ec80cd939a6c1416d","source":{"kind":"arxiv","id":"1301.7652","version":2},"attestation_state":"computed","paper":{"title":"Relativistic Finsler geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","math.DG"],"primary_cat":"gr-qc","authors_text":"A.P. Kouretsis, M. Stathakopoulos, P.C. Stavrinos","submitted_at":"2013-01-31T15:44:03Z","abstract_excerpt":"We briefly review some basic concepts of parallel displacement in Finsler geometry. In general relativity, the parallel translation of objects along the congruence of the fundamental observer corresponds to the evolution in time. By dropping the quadratic restriction on the measurement of an infinitesimal distance, the geometry is generalized to a Finsler structure. Apart from curvature a new property of the manifold complicates the geometrodynamics, the color. The color brings forth an intrinsic local anisotropy and many quantities depend on position and to a \"supporting\" direction. We discus"},"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":"1301.7652","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-31T15:44:03Z","cross_cats_sorted":["astro-ph.CO","math.DG"],"title_canon_sha256":"dc379b6bc64df0dac54f683efd39911854d093252acd4bd4b77fb229444ccaee","abstract_canon_sha256":"7245f7c566ecb695325417232aa48ef963fc1bb45f8ca5074a0288e01c31dd0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:24.254859Z","signature_b64":"ATqxCOd6XYkZSmdX+yu5Eh/MiItr2hko2wF/BdpyNRT2gbAgOn0/zPOQwlv2CY24qlHwMLbHyS7RzmvxZ3s9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc641932ed63492363ac1f287e6c11d8e02d4a98a5618c4ec80cd939a6c1416d","last_reissued_at":"2026-05-18T03:04:24.254473Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:24.254473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic Finsler geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","math.DG"],"primary_cat":"gr-qc","authors_text":"A.P. Kouretsis, M. Stathakopoulos, P.C. Stavrinos","submitted_at":"2013-01-31T15:44:03Z","abstract_excerpt":"We briefly review some basic concepts of parallel displacement in Finsler geometry. In general relativity, the parallel translation of objects along the congruence of the fundamental observer corresponds to the evolution in time. By dropping the quadratic restriction on the measurement of an infinitesimal distance, the geometry is generalized to a Finsler structure. Apart from curvature a new property of the manifold complicates the geometrodynamics, the color. The color brings forth an intrinsic local anisotropy and many quantities depend on position and to a \"supporting\" direction. We discus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7652","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":""},"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":"1301.7652","created_at":"2026-05-18T03:04:24.254535+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.7652v2","created_at":"2026-05-18T03:04:24.254535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7652","created_at":"2026-05-18T03:04:24.254535+00:00"},{"alias_kind":"pith_short_12","alias_value":"XRSBSMXNMNES","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"XRSBSMXNMNESGY5M","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"XRSBSMXN","created_at":"2026-05-18T12:28:06.772260+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/XRSBSMXNMNESGY5MD4UH43AR3D","json":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D.json","graph_json":"https://pith.science/api/pith-number/XRSBSMXNMNESGY5MD4UH43AR3D/graph.json","events_json":"https://pith.science/api/pith-number/XRSBSMXNMNESGY5MD4UH43AR3D/events.json","paper":"https://pith.science/paper/XRSBSMXN"},"agent_actions":{"view_html":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D","download_json":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D.json","view_paper":"https://pith.science/paper/XRSBSMXN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.7652&json=true","fetch_graph":"https://pith.science/api/pith-number/XRSBSMXNMNESGY5MD4UH43AR3D/graph.json","fetch_events":"https://pith.science/api/pith-number/XRSBSMXNMNESGY5MD4UH43AR3D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D/action/storage_attestation","attest_author":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D/action/author_attestation","sign_citation":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D/action/citation_signature","submit_replication":"https://pith.science/pith/XRSBSMXNMNESGY5MD4UH43AR3D/action/replication_record"}},"created_at":"2026-05-18T03:04:24.254535+00:00","updated_at":"2026-05-18T03:04:24.254535+00:00"}