{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VEKLD5DARH5EOQTKL2K37IQRAR","short_pith_number":"pith:VEKLD5DA","schema_version":"1.0","canonical_sha256":"a914b1f46089fa47426a5e95bfa21104755bed14f47878b0a7d36de3e271f694","source":{"kind":"arxiv","id":"0904.0324","version":1},"attestation_state":"computed","paper":{"title":"An analytical solution for Kepler's problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"2, (2) Department of Astronomy, 3) ((1) Harvard-Smithsonian Center for Astrophysics, (3) Konkoly Observatory of the Hungarian Academy of Sciences), Andr\\'as P\\'al (1, E\\\"otv\\\"os Lor\\'and University","submitted_at":"2009-04-02T07:16:51Z","abstract_excerpt":"In this paper we present a framework which provides an analytical (i.e., infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits all singular variables which otherwise would yield discontinuities. This method is based on two simple real functions for which the derivative rules are only required to be known, all other applications -- e.g., calculating the orbital velocities, obtaining the partial derivatives of radial velocity curves with respect to the orbital elements -- are thereaft"},"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":"0904.0324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-04-02T07:16:51Z","cross_cats_sorted":[],"title_canon_sha256":"c0bcfba7c6657066acef3b1ebd47b4548bc3db544a8d58828566bb1765231c37","abstract_canon_sha256":"bc998875735cbdba68193c5c29cee277021f10bbd07c90dea0a8c3fc75471542"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:08.067284Z","signature_b64":"KIIfsJ/uK//FMKLF5D/NsDVONOfbMudu9k58a87j1bkTdgyait5SWrktkOMpZIbamzcC6CpMdCzlEUUvXRGNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a914b1f46089fa47426a5e95bfa21104755bed14f47878b0a7d36de3e271f694","last_reissued_at":"2026-05-18T02:14:08.066839Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:08.066839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An analytical solution for Kepler's problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"2, (2) Department of Astronomy, 3) ((1) Harvard-Smithsonian Center for Astrophysics, (3) Konkoly Observatory of the Hungarian Academy of Sciences), Andr\\'as P\\'al (1, E\\\"otv\\\"os Lor\\'and University","submitted_at":"2009-04-02T07:16:51Z","abstract_excerpt":"In this paper we present a framework which provides an analytical (i.e., infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits all singular variables which otherwise would yield discontinuities. This method is based on two simple real functions for which the derivative rules are only required to be known, all other applications -- e.g., calculating the orbital velocities, obtaining the partial derivatives of radial velocity curves with respect to the orbital elements -- are thereaft"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0324","kind":"arxiv","version":1},"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":"0904.0324","created_at":"2026-05-18T02:14:08.066903+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.0324v1","created_at":"2026-05-18T02:14:08.066903+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0324","created_at":"2026-05-18T02:14:08.066903+00:00"},{"alias_kind":"pith_short_12","alias_value":"VEKLD5DARH5E","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VEKLD5DARH5EOQTK","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VEKLD5DA","created_at":"2026-05-18T12:26:02.257875+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/VEKLD5DARH5EOQTKL2K37IQRAR","json":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR.json","graph_json":"https://pith.science/api/pith-number/VEKLD5DARH5EOQTKL2K37IQRAR/graph.json","events_json":"https://pith.science/api/pith-number/VEKLD5DARH5EOQTKL2K37IQRAR/events.json","paper":"https://pith.science/paper/VEKLD5DA"},"agent_actions":{"view_html":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR","download_json":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR.json","view_paper":"https://pith.science/paper/VEKLD5DA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.0324&json=true","fetch_graph":"https://pith.science/api/pith-number/VEKLD5DARH5EOQTKL2K37IQRAR/graph.json","fetch_events":"https://pith.science/api/pith-number/VEKLD5DARH5EOQTKL2K37IQRAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR/action/storage_attestation","attest_author":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR/action/author_attestation","sign_citation":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR/action/citation_signature","submit_replication":"https://pith.science/pith/VEKLD5DARH5EOQTKL2K37IQRAR/action/replication_record"}},"created_at":"2026-05-18T02:14:08.066903+00:00","updated_at":"2026-05-18T02:14:08.066903+00:00"}