{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:OUU4BWAWFPTM7GQYZ266YJMYUW","short_pith_number":"pith:OUU4BWAW","schema_version":"1.0","canonical_sha256":"7529c0d8162be6cf9a18cebdec2598a5b83f67a2288e9c1a17d8129a922b5fed","source":{"kind":"arxiv","id":"1803.08346","version":2},"attestation_state":"computed","paper":{"title":"Space and Space-Time geodesics in Schwarzschild geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lorenzo Resca","submitted_at":"2018-03-21T11:34:53Z","abstract_excerpt":"Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit equations for a proper spatial submanifold of Schwarzschild metric at any given coordinate-time correspond to an unphysical gravitational repulsion in the non-relativistic limit. This demonstrates at a basic level the centrality and critical role of relativistic time and its intimate pseudo-Riemannian connection with space. Correspondingly, a commonly popularized de"},"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":"1803.08346","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-03-21T11:34:53Z","cross_cats_sorted":[],"title_canon_sha256":"85b3fd86b5451528b3cf72f6bafe35519360d5937606af4fd4e0ac38b3d271c2","abstract_canon_sha256":"e18249b4c6d0e0020b70d2ef2ab77db64e67da19c08348c73e116c43bfeed5f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:40.940302Z","signature_b64":"0h8q/x/TRhyI7js2ztFhhpdbMrmpJtVGYufnxH0VeeS7M1RO8KQhkiN0q0R5ecBvm7OluLlUOOmZjJDR0IGWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7529c0d8162be6cf9a18cebdec2598a5b83f67a2288e9c1a17d8129a922b5fed","last_reissued_at":"2026-05-18T00:19:40.939553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:40.939553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Space and Space-Time geodesics in Schwarzschild geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lorenzo Resca","submitted_at":"2018-03-21T11:34:53Z","abstract_excerpt":"Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit equations for a proper spatial submanifold of Schwarzschild metric at any given coordinate-time correspond to an unphysical gravitational repulsion in the non-relativistic limit. This demonstrates at a basic level the centrality and critical role of relativistic time and its intimate pseudo-Riemannian connection with space. Correspondingly, a commonly popularized de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08346","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":"1803.08346","created_at":"2026-05-18T00:19:40.939685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08346v2","created_at":"2026-05-18T00:19:40.939685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08346","created_at":"2026-05-18T00:19:40.939685+00:00"},{"alias_kind":"pith_short_12","alias_value":"OUU4BWAWFPTM","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"OUU4BWAWFPTM7GQY","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"OUU4BWAW","created_at":"2026-05-18T12:32:43.782077+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/OUU4BWAWFPTM7GQYZ266YJMYUW","json":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW.json","graph_json":"https://pith.science/api/pith-number/OUU4BWAWFPTM7GQYZ266YJMYUW/graph.json","events_json":"https://pith.science/api/pith-number/OUU4BWAWFPTM7GQYZ266YJMYUW/events.json","paper":"https://pith.science/paper/OUU4BWAW"},"agent_actions":{"view_html":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW","download_json":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW.json","view_paper":"https://pith.science/paper/OUU4BWAW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08346&json=true","fetch_graph":"https://pith.science/api/pith-number/OUU4BWAWFPTM7GQYZ266YJMYUW/graph.json","fetch_events":"https://pith.science/api/pith-number/OUU4BWAWFPTM7GQYZ266YJMYUW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW/action/storage_attestation","attest_author":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW/action/author_attestation","sign_citation":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW/action/citation_signature","submit_replication":"https://pith.science/pith/OUU4BWAWFPTM7GQYZ266YJMYUW/action/replication_record"}},"created_at":"2026-05-18T00:19:40.939685+00:00","updated_at":"2026-05-18T00:19:40.939685+00:00"}