{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:5TNWPSOWVWSLLH7O42X5FXDXX3","short_pith_number":"pith:5TNWPSOW","schema_version":"1.0","canonical_sha256":"ecdb67c9d6ada4b59feee6afd2dc77befed0b8968e3026b26cd9fe0cb25a7049","source":{"kind":"arxiv","id":"hep-th/9505064","version":1},"attestation_state":"computed","paper":{"title":"Complete Integrability for Lagrangian Dependent on Acceleration in a Space-Time of Constant Curvature","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Feoli, G. Scarpetta, V.V. Nesterenko","submitted_at":"1995-05-11T15:01:56Z","abstract_excerpt":"The equations of motion for a Lagrangian ${\\cal L}(k_1)$, depending on the curvature $k_1$ of the particle worldline, embedded in a space--time of constant curvature, are considered and reformulated in terms of the principal curvatures. It is shown that for arbitrary Lagrangian function ${\\cal L}(k_1)$ the general solution of the motion equations can be obtained by integrals. By analogy with the flat space--time case, the constants of integration are interpreted as the particle mass and its spin. As examples, we completely investigate Lagrangians linear and quadratic in $(k_1)$ and the model o"},"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":"hep-th/9505064","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-05-11T15:01:56Z","cross_cats_sorted":[],"title_canon_sha256":"80b8faa239f72dd4c7a1b9f70102d49ae01918fb2dccbaeae8b0662c7912c13d","abstract_canon_sha256":"d23dbfa8af8ae5f3840ed40421eed587629d2d8f801117979b948634cad66376"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:22.883500Z","signature_b64":"BM6R9b+hk/wRTX99KhmVN5tEdzHIAy1R+6oc7wvt7FJQIO7PsCrEmmgbVAQIORrKe5tW3LuGP3yc0pYDragRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecdb67c9d6ada4b59feee6afd2dc77befed0b8968e3026b26cd9fe0cb25a7049","last_reissued_at":"2026-07-04T15:59:22.883110Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:22.883110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete Integrability for Lagrangian Dependent on Acceleration in a Space-Time of Constant Curvature","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Feoli, G. Scarpetta, V.V. Nesterenko","submitted_at":"1995-05-11T15:01:56Z","abstract_excerpt":"The equations of motion for a Lagrangian ${\\cal L}(k_1)$, depending on the curvature $k_1$ of the particle worldline, embedded in a space--time of constant curvature, are considered and reformulated in terms of the principal curvatures. It is shown that for arbitrary Lagrangian function ${\\cal L}(k_1)$ the general solution of the motion equations can be obtained by integrals. By analogy with the flat space--time case, the constants of integration are interpreted as the particle mass and its spin. As examples, we completely investigate Lagrangians linear and quadratic in $(k_1)$ and the model o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9505064","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9505064/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":"hep-th/9505064","created_at":"2026-07-04T15:59:22.883167+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9505064v1","created_at":"2026-07-04T15:59:22.883167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9505064","created_at":"2026-07-04T15:59:22.883167+00:00"},{"alias_kind":"pith_short_12","alias_value":"5TNWPSOWVWSL","created_at":"2026-07-04T15:59:22.883167+00:00"},{"alias_kind":"pith_short_16","alias_value":"5TNWPSOWVWSLLH7O","created_at":"2026-07-04T15:59:22.883167+00:00"},{"alias_kind":"pith_short_8","alias_value":"5TNWPSOW","created_at":"2026-07-04T15:59:22.883167+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/5TNWPSOWVWSLLH7O42X5FXDXX3","json":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3.json","graph_json":"https://pith.science/api/pith-number/5TNWPSOWVWSLLH7O42X5FXDXX3/graph.json","events_json":"https://pith.science/api/pith-number/5TNWPSOWVWSLLH7O42X5FXDXX3/events.json","paper":"https://pith.science/paper/5TNWPSOW"},"agent_actions":{"view_html":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3","download_json":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3.json","view_paper":"https://pith.science/paper/5TNWPSOW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9505064&json=true","fetch_graph":"https://pith.science/api/pith-number/5TNWPSOWVWSLLH7O42X5FXDXX3/graph.json","fetch_events":"https://pith.science/api/pith-number/5TNWPSOWVWSLLH7O42X5FXDXX3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3/action/storage_attestation","attest_author":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3/action/author_attestation","sign_citation":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3/action/citation_signature","submit_replication":"https://pith.science/pith/5TNWPSOWVWSLLH7O42X5FXDXX3/action/replication_record"}},"created_at":"2026-07-04T15:59:22.883167+00:00","updated_at":"2026-07-04T15:59:22.883167+00:00"}