{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ASZHIY4AXMCP4HYWR3VSWXXLUL","short_pith_number":"pith:ASZHIY4A","schema_version":"1.0","canonical_sha256":"04b2746380bb04fe1f168eeb2b5eeba2c3e7f03def91820140a7c283fdd6d494","source":{"kind":"arxiv","id":"1304.5430","version":2},"attestation_state":"computed","paper":{"title":"Extensions of Lorentzian spacetime geometry: From Finsler to Cartan and vice versa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Manuel Hohmann","submitted_at":"2013-04-19T14:38:33Z","abstract_excerpt":"We briefly review two recently developed extensions of the Lorentzian geometry of spacetime and prove that they are in fact closely related. The first is the concept of observer space, which generalizes the space of Lorentzian observers, i.e., future unit timelike vectors, using Cartan geometry. The second is the concept of Finsler spacetimes, which generalizes the Lorentzian metric of general relativity to an observer-dependent Finsler metric. We show that every Finsler spacetime possesses a well-defined observer space that can naturally be equipped with a Cartan geometry. Conversely, we deri"},"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":"1304.5430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T14:38:33Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"712b6c286aa1d806da770f7a1a37dda4f5c83a2d0b9e381d63f6221668e8e98f","abstract_canon_sha256":"40fc9b913c4071c79aff01e647f60073a7bc69f438fbfa8463bf1cab5abc2917"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:45.358407Z","signature_b64":"FfzEzZZ+nKkPZR3Ib+z29ihHvPq4vgtqp9EBDbsuasd1nFBHSNNWu4xUrnDyMZlppsLcd7ol0hvyZSGsK07mDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04b2746380bb04fe1f168eeb2b5eeba2c3e7f03def91820140a7c283fdd6d494","last_reissued_at":"2026-05-18T03:19:45.357878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:45.357878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extensions of Lorentzian spacetime geometry: From Finsler to Cartan and vice versa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Manuel Hohmann","submitted_at":"2013-04-19T14:38:33Z","abstract_excerpt":"We briefly review two recently developed extensions of the Lorentzian geometry of spacetime and prove that they are in fact closely related. The first is the concept of observer space, which generalizes the space of Lorentzian observers, i.e., future unit timelike vectors, using Cartan geometry. The second is the concept of Finsler spacetimes, which generalizes the Lorentzian metric of general relativity to an observer-dependent Finsler metric. We show that every Finsler spacetime possesses a well-defined observer space that can naturally be equipped with a Cartan geometry. Conversely, we deri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5430","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":"1304.5430","created_at":"2026-05-18T03:19:45.357963+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.5430v2","created_at":"2026-05-18T03:19:45.357963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5430","created_at":"2026-05-18T03:19:45.357963+00:00"},{"alias_kind":"pith_short_12","alias_value":"ASZHIY4AXMCP","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"ASZHIY4AXMCP4HYW","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"ASZHIY4A","created_at":"2026-05-18T12:27:38.830355+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/ASZHIY4AXMCP4HYWR3VSWXXLUL","json":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL.json","graph_json":"https://pith.science/api/pith-number/ASZHIY4AXMCP4HYWR3VSWXXLUL/graph.json","events_json":"https://pith.science/api/pith-number/ASZHIY4AXMCP4HYWR3VSWXXLUL/events.json","paper":"https://pith.science/paper/ASZHIY4A"},"agent_actions":{"view_html":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL","download_json":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL.json","view_paper":"https://pith.science/paper/ASZHIY4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.5430&json=true","fetch_graph":"https://pith.science/api/pith-number/ASZHIY4AXMCP4HYWR3VSWXXLUL/graph.json","fetch_events":"https://pith.science/api/pith-number/ASZHIY4AXMCP4HYWR3VSWXXLUL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL/action/storage_attestation","attest_author":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL/action/author_attestation","sign_citation":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL/action/citation_signature","submit_replication":"https://pith.science/pith/ASZHIY4AXMCP4HYWR3VSWXXLUL/action/replication_record"}},"created_at":"2026-05-18T03:19:45.357963+00:00","updated_at":"2026-05-18T03:19:45.357963+00:00"}