{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:JTN7EOWBF5PRYBBR6UO6R3WWNJ","short_pith_number":"pith:JTN7EOWB","schema_version":"1.0","canonical_sha256":"4cdbf23ac12f5f1c0431f51de8eed66a7551efbecd65f52f213ac1b37fea0753","source":{"kind":"arxiv","id":"math/9911062","version":1},"attestation_state":"computed","paper":{"title":"Geodesic equivalence and integrability","license":"","headline":"","cross_cats":["math.SG","nlin.SI","solv-int"],"primary_cat":"math.DG","authors_text":"Petar J. Topalov, Vladimir S. Matveev","submitted_at":"1999-11-10T10:06:35Z","abstract_excerpt":"We suggest a construction that, given a trajectorial diffeomorphism between two Hamiltonian systems, produces integrals of them.\n As the main example we treat geodesic equivalence of metrics.\n We show that the existence of a non-trivially geodesically equivalent metric leads to Liouville integrability, and present explicit formulae for integrals."},"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":"math/9911062","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1999-11-10T10:06:35Z","cross_cats_sorted":["math.SG","nlin.SI","solv-int"],"title_canon_sha256":"117f377d74468ec30ebed4c50e1d8266ba754452b2bce2851c3de5874c9f9f88","abstract_canon_sha256":"fac51724f0423c0ca02060571e93bfe3a5302e58f205e2936df5dbc6a6cdca55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:32.486733Z","signature_b64":"jNFT/JKZ9LpHjjmc2BXB3mxMCPzTuewhNUdLU7eiK3PSNxzmf5OYlYU+w9rI87oJy360Yr+J6t/nK5P5ZrzhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cdbf23ac12f5f1c0431f51de8eed66a7551efbecd65f52f213ac1b37fea0753","last_reissued_at":"2026-05-18T01:05:32.485881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:32.485881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geodesic equivalence and integrability","license":"","headline":"","cross_cats":["math.SG","nlin.SI","solv-int"],"primary_cat":"math.DG","authors_text":"Petar J. Topalov, Vladimir S. Matveev","submitted_at":"1999-11-10T10:06:35Z","abstract_excerpt":"We suggest a construction that, given a trajectorial diffeomorphism between two Hamiltonian systems, produces integrals of them.\n As the main example we treat geodesic equivalence of metrics.\n We show that the existence of a non-trivially geodesically equivalent metric leads to Liouville integrability, and present explicit formulae for integrals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9911062","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":"math/9911062","created_at":"2026-05-18T01:05:32.486022+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9911062v1","created_at":"2026-05-18T01:05:32.486022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9911062","created_at":"2026-05-18T01:05:32.486022+00:00"},{"alias_kind":"pith_short_12","alias_value":"JTN7EOWBF5PR","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"JTN7EOWBF5PRYBBR","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"JTN7EOWB","created_at":"2026-05-18T12:25:49.631198+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/JTN7EOWBF5PRYBBR6UO6R3WWNJ","json":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ.json","graph_json":"https://pith.science/api/pith-number/JTN7EOWBF5PRYBBR6UO6R3WWNJ/graph.json","events_json":"https://pith.science/api/pith-number/JTN7EOWBF5PRYBBR6UO6R3WWNJ/events.json","paper":"https://pith.science/paper/JTN7EOWB"},"agent_actions":{"view_html":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ","download_json":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ.json","view_paper":"https://pith.science/paper/JTN7EOWB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9911062&json=true","fetch_graph":"https://pith.science/api/pith-number/JTN7EOWBF5PRYBBR6UO6R3WWNJ/graph.json","fetch_events":"https://pith.science/api/pith-number/JTN7EOWBF5PRYBBR6UO6R3WWNJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ/action/storage_attestation","attest_author":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ/action/author_attestation","sign_citation":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ/action/citation_signature","submit_replication":"https://pith.science/pith/JTN7EOWBF5PRYBBR6UO6R3WWNJ/action/replication_record"}},"created_at":"2026-05-18T01:05:32.486022+00:00","updated_at":"2026-05-18T01:05:32.486022+00:00"}