{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GHFXFHBZDDQGYSRYH5HMHD445Z","short_pith_number":"pith:GHFXFHBZ","schema_version":"1.0","canonical_sha256":"31cb729c3918e06c4a383f4ec38f9cee5770d6be9984d21c61e1343d74b2feb4","source":{"kind":"arxiv","id":"1407.5494","version":6},"attestation_state":"computed","paper":{"title":"Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Erasmo Caponio, Miguel Angel Javaloyes, Miguel S\\'anchez","submitted_at":"2014-07-21T13:47:35Z","abstract_excerpt":"The notion of wind Finslerian structure is developed; this is a generalization of Finsler metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the particular case that these indicatrices are ellipsoids, called here wind Riemannian structures, they admit a double interpretation which provides: (a) a model for classical Zermelo's navigation problem even when the trajectories of the moving objects (planes, ships) are influenced by strong winds or streams, and (b) a natural description of the causal structure of relativistic spacetimes endowed with a non-vanishi"},"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":"1407.5494","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T13:47:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"25d5511cce98a85d29b491174a2d7f08ac92738bcfb61eec5274e17c404c18de","abstract_canon_sha256":"5d841bf1b164229410dcd63f013c127af5d5eb6c959b0804cdd06d0003ea29c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:02:05.482686Z","signature_b64":"SqGJA1hYsIz7vHwzM04nJz61GSmx2pi9LGRoJPYSWdhgTfiU26djK5ioYjgBZNSyFjdNSJDz9zfxN0jYN2buDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31cb729c3918e06c4a383f4ec38f9cee5770d6be9984d21c61e1343d74b2feb4","last_reissued_at":"2026-07-05T09:02:05.482206Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:02:05.482206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Erasmo Caponio, Miguel Angel Javaloyes, Miguel S\\'anchez","submitted_at":"2014-07-21T13:47:35Z","abstract_excerpt":"The notion of wind Finslerian structure is developed; this is a generalization of Finsler metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the particular case that these indicatrices are ellipsoids, called here wind Riemannian structures, they admit a double interpretation which provides: (a) a model for classical Zermelo's navigation problem even when the trajectories of the moving objects (planes, ships) are influenced by strong winds or streams, and (b) a natural description of the causal structure of relativistic spacetimes endowed with a non-vanishi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5494","kind":"arxiv","version":6},"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/1407.5494/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":"1407.5494","created_at":"2026-07-05T09:02:05.482271+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.5494v6","created_at":"2026-07-05T09:02:05.482271+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5494","created_at":"2026-07-05T09:02:05.482271+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHFXFHBZDDQG","created_at":"2026-07-05T09:02:05.482271+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHFXFHBZDDQGYSRY","created_at":"2026-07-05T09:02:05.482271+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHFXFHBZ","created_at":"2026-07-05T09:02:05.482271+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.09536","citing_title":"Wind-Finslerian structure of black holes","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z","json":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z.json","graph_json":"https://pith.science/api/pith-number/GHFXFHBZDDQGYSRYH5HMHD445Z/graph.json","events_json":"https://pith.science/api/pith-number/GHFXFHBZDDQGYSRYH5HMHD445Z/events.json","paper":"https://pith.science/paper/GHFXFHBZ"},"agent_actions":{"view_html":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z","download_json":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z.json","view_paper":"https://pith.science/paper/GHFXFHBZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.5494&json=true","fetch_graph":"https://pith.science/api/pith-number/GHFXFHBZDDQGYSRYH5HMHD445Z/graph.json","fetch_events":"https://pith.science/api/pith-number/GHFXFHBZDDQGYSRYH5HMHD445Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z/action/storage_attestation","attest_author":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z/action/author_attestation","sign_citation":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z/action/citation_signature","submit_replication":"https://pith.science/pith/GHFXFHBZDDQGYSRYH5HMHD445Z/action/replication_record"}},"created_at":"2026-07-05T09:02:05.482271+00:00","updated_at":"2026-07-05T09:02:05.482271+00:00"}