{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7QYI44LRPFD3HTCQU6RTUWJNEF","short_pith_number":"pith:7QYI44LR","schema_version":"1.0","canonical_sha256":"fc308e71717947b3cc50a7a33a592d21491f1f008243d2e7f571d3cb0c07d72b","source":{"kind":"arxiv","id":"1412.3526","version":1},"attestation_state":"computed","paper":{"title":"Finsler geodesics of Lagrangian systems through Routh reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"T. Mestdag","submitted_at":"2014-12-11T03:22:29Z","abstract_excerpt":"We make use of a symmetry reduction technique called Routh reduction to show that the solutions of the Euler-Lagrange equations of a strongly convex autonomous Lagrangian which lie on a specific energy level can be thought of as geodesics of an associated Finsler function."},"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":"1412.3526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-11T03:22:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"34fce7a028ed0c37b9c4317be90dd16031e0ad468b07714e4efeadc7af32e508","abstract_canon_sha256":"4aa696bc871e088262868d13a9bb49c23c2739457a663a4b6efc91fb1d167544"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:00.635350Z","signature_b64":"UNbZwSl5JbKUIZDjPwB4ayteItvtN5zirXGedx7CCl5qVYyoLIMORY7KVvs2d8HmXHH4s9f3B2/3YxcP7Ay9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc308e71717947b3cc50a7a33a592d21491f1f008243d2e7f571d3cb0c07d72b","last_reissued_at":"2026-05-18T01:01:00.634462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:00.634462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finsler geodesics of Lagrangian systems through Routh reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"T. Mestdag","submitted_at":"2014-12-11T03:22:29Z","abstract_excerpt":"We make use of a symmetry reduction technique called Routh reduction to show that the solutions of the Euler-Lagrange equations of a strongly convex autonomous Lagrangian which lie on a specific energy level can be thought of as geodesics of an associated Finsler function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3526","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":"1412.3526","created_at":"2026-05-18T01:01:00.634610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3526v1","created_at":"2026-05-18T01:01:00.634610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3526","created_at":"2026-05-18T01:01:00.634610+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QYI44LRPFD3","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QYI44LRPFD3HTCQ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QYI44LR","created_at":"2026-05-18T12:28:19.803747+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/7QYI44LRPFD3HTCQU6RTUWJNEF","json":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF.json","graph_json":"https://pith.science/api/pith-number/7QYI44LRPFD3HTCQU6RTUWJNEF/graph.json","events_json":"https://pith.science/api/pith-number/7QYI44LRPFD3HTCQU6RTUWJNEF/events.json","paper":"https://pith.science/paper/7QYI44LR"},"agent_actions":{"view_html":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF","download_json":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF.json","view_paper":"https://pith.science/paper/7QYI44LR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3526&json=true","fetch_graph":"https://pith.science/api/pith-number/7QYI44LRPFD3HTCQU6RTUWJNEF/graph.json","fetch_events":"https://pith.science/api/pith-number/7QYI44LRPFD3HTCQU6RTUWJNEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF/action/storage_attestation","attest_author":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF/action/author_attestation","sign_citation":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF/action/citation_signature","submit_replication":"https://pith.science/pith/7QYI44LRPFD3HTCQU6RTUWJNEF/action/replication_record"}},"created_at":"2026-05-18T01:01:00.634610+00:00","updated_at":"2026-05-18T01:01:00.634610+00:00"}