{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ON3EGYNN2DSPTZ5JAGWOZ2O3MV","short_pith_number":"pith:ON3EGYNN","schema_version":"1.0","canonical_sha256":"73764361add0e4f9e7a901acece9db655cd595f09ff9e88a3ebcb76bb0587b94","source":{"kind":"arxiv","id":"1311.0300","version":2},"attestation_state":"computed","paper":{"title":"Every Lipschitz metric has $C^1$-geodesics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Roland Steinbauer","submitted_at":"2013-10-30T21:36:33Z","abstract_excerpt":"We prove that the geodesic equation for any semi-Riemannian metric of regularity $C^{0,1}$ possesses $C^1$-solutions in the sense of Filippov."},"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":"1311.0300","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-30T21:36:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0f88510f40e86c2a5142b29a02d29c2ef92dcb88e996252d5ddd5785d4f3fdce","abstract_canon_sha256":"0d50d1b0ec9432d72ad3c5179fc15a48049701f399ec9f7778f8c43826f9b768"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:23.288226Z","signature_b64":"+XJe4nJjoZvSeTLfIyGJ8VhD7aZ0FMuOSt23IgeINxczdIkxfCfzmZ/dcBN1csaRLb4Lm7kTETKLo+HB/1fyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73764361add0e4f9e7a901acece9db655cd595f09ff9e88a3ebcb76bb0587b94","last_reissued_at":"2026-05-18T02:58:23.287623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:23.287623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Every Lipschitz metric has $C^1$-geodesics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Roland Steinbauer","submitted_at":"2013-10-30T21:36:33Z","abstract_excerpt":"We prove that the geodesic equation for any semi-Riemannian metric of regularity $C^{0,1}$ possesses $C^1$-solutions in the sense of Filippov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0300","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":"1311.0300","created_at":"2026-05-18T02:58:23.287717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.0300v2","created_at":"2026-05-18T02:58:23.287717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0300","created_at":"2026-05-18T02:58:23.287717+00:00"},{"alias_kind":"pith_short_12","alias_value":"ON3EGYNN2DSP","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"ON3EGYNN2DSPTZ5J","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"ON3EGYNN","created_at":"2026-05-18T12:27:54.935989+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/ON3EGYNN2DSPTZ5JAGWOZ2O3MV","json":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV.json","graph_json":"https://pith.science/api/pith-number/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/graph.json","events_json":"https://pith.science/api/pith-number/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/events.json","paper":"https://pith.science/paper/ON3EGYNN"},"agent_actions":{"view_html":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV","download_json":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV.json","view_paper":"https://pith.science/paper/ON3EGYNN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.0300&json=true","fetch_graph":"https://pith.science/api/pith-number/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/graph.json","fetch_events":"https://pith.science/api/pith-number/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/action/storage_attestation","attest_author":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/action/author_attestation","sign_citation":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/action/citation_signature","submit_replication":"https://pith.science/pith/ON3EGYNN2DSPTZ5JAGWOZ2O3MV/action/replication_record"}},"created_at":"2026-05-18T02:58:23.287717+00:00","updated_at":"2026-05-18T02:58:23.287717+00:00"}