{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ONHRXCW5OUBCOWIBMSNAB5O734","short_pith_number":"pith:ONHRXCW5","canonical_record":{"source":{"id":"1201.5054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:04:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b60cbbd632750bead8547c6a8f4f11bbad7c6dd876f024b8868a7ca3075e1002","abstract_canon_sha256":"04042e2cf8eb8cc59e2e876b2ddb8a055af2b80a5db1cc32bc9f0aed594cae6d"},"schema_version":"1.0"},"canonical_sha256":"734f1b8add7502275901649a00f5dfdf3339b5936f351d6d712fe62cebee8718","source":{"kind":"arxiv","id":"1201.5054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5054","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5054v2","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5054","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"ONHRXCW5OUBC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ONHRXCW5OUBCOWIB","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ONHRXCW5","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ONHRXCW5OUBCOWIBMSNAB5O734","target":"record","payload":{"canonical_record":{"source":{"id":"1201.5054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:04:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b60cbbd632750bead8547c6a8f4f11bbad7c6dd876f024b8868a7ca3075e1002","abstract_canon_sha256":"04042e2cf8eb8cc59e2e876b2ddb8a055af2b80a5db1cc32bc9f0aed594cae6d"},"schema_version":"1.0"},"canonical_sha256":"734f1b8add7502275901649a00f5dfdf3339b5936f351d6d712fe62cebee8718","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:57.839142Z","signature_b64":"H20nd2IYG7V7FoJ3TzMSbEaGJBVZvQ4ymTui+WHxKQFNYmPtiJfwiXjC+DU2teVSzWEkiazER9w3emw4E7i1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"734f1b8add7502275901649a00f5dfdf3339b5936f351d6d712fe62cebee8718","last_reissued_at":"2026-05-18T03:15:57.838400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:57.838400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.5054","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9eMa4Ny58yVg+tm29I+7svE+RbNQmWTAL93cLik5R1LsPbJzKuLCC9rUoFkhWdhbCYlxTuEw21y3/+Q/g22OBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:16:13.423437Z"},"content_sha256":"4a1cfbfd255d4937b791861300ff4e233479939fcb3d3fa9442a91310f3144b1","schema_version":"1.0","event_id":"sha256:4a1cfbfd255d4937b791861300ff4e233479939fcb3d3fa9442a91310f3144b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ONHRXCW5OUBCOWIBMSNAB5O734","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Joris Vankerschaver, Luis C. Garc\\'ia-Naranjo, Yuri N. Fedorov","submitted_at":"2012-01-24T17:04:49Z","abstract_excerpt":"We consider the motion of a planar rigid body in a potential flow with circulation and subject to a certain nonholonomic constraint. This model is related to the design of underwater vehicles.\n  The equations of motion admit a reduction to a 2-dimensional nonlinear system, which is integrated explicitly. We show that the reduced system comprises both asymptotic and periodic dynamics separated by a critical value of the energy, and give a complete classification of types of the motion. Then we describe the whole variety of the trajectories of the body on the plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5054","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EGIdKOpcgs+FbQ55YsbkeXj9S1nEth7Z/ZxQKPe82XKSpyBRtqn5Et97ChgKYaKhHSJmOdcCxF6AteZeAkVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:16:13.424011Z"},"content_sha256":"243d863dc353075a909dd5ac7d03a89e81b1a7df973b74450b193e2e04baf7bb","schema_version":"1.0","event_id":"sha256:243d863dc353075a909dd5ac7d03a89e81b1a7df973b74450b193e2e04baf7bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONHRXCW5OUBCOWIBMSNAB5O734/bundle.json","state_url":"https://pith.science/pith/ONHRXCW5OUBCOWIBMSNAB5O734/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONHRXCW5OUBCOWIBMSNAB5O734/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T06:16:13Z","links":{"resolver":"https://pith.science/pith/ONHRXCW5OUBCOWIBMSNAB5O734","bundle":"https://pith.science/pith/ONHRXCW5OUBCOWIBMSNAB5O734/bundle.json","state":"https://pith.science/pith/ONHRXCW5OUBCOWIBMSNAB5O734/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONHRXCW5OUBCOWIBMSNAB5O734/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ONHRXCW5OUBCOWIBMSNAB5O734","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"04042e2cf8eb8cc59e2e876b2ddb8a055af2b80a5db1cc32bc9f0aed594cae6d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:04:49Z","title_canon_sha256":"b60cbbd632750bead8547c6a8f4f11bbad7c6dd876f024b8868a7ca3075e1002"},"schema_version":"1.0","source":{"id":"1201.5054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5054","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5054v2","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5054","created_at":"2026-05-18T03:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"ONHRXCW5OUBC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ONHRXCW5OUBCOWIB","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ONHRXCW5","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:243d863dc353075a909dd5ac7d03a89e81b1a7df973b74450b193e2e04baf7bb","target":"graph","created_at":"2026-05-18T03:15:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the motion of a planar rigid body in a potential flow with circulation and subject to a certain nonholonomic constraint. This model is related to the design of underwater vehicles.\n  The equations of motion admit a reduction to a 2-dimensional nonlinear system, which is integrated explicitly. We show that the reduced system comprises both asymptotic and periodic dynamics separated by a critical value of the energy, and give a complete classification of types of the motion. Then we describe the whole variety of the trajectories of the body on the plane.","authors_text":"Joris Vankerschaver, Luis C. Garc\\'ia-Naranjo, Yuri N. Fedorov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:04:49Z","title":"The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5054","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4a1cfbfd255d4937b791861300ff4e233479939fcb3d3fa9442a91310f3144b1","target":"record","created_at":"2026-05-18T03:15:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"04042e2cf8eb8cc59e2e876b2ddb8a055af2b80a5db1cc32bc9f0aed594cae6d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:04:49Z","title_canon_sha256":"b60cbbd632750bead8547c6a8f4f11bbad7c6dd876f024b8868a7ca3075e1002"},"schema_version":"1.0","source":{"id":"1201.5054","kind":"arxiv","version":2}},"canonical_sha256":"734f1b8add7502275901649a00f5dfdf3339b5936f351d6d712fe62cebee8718","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"734f1b8add7502275901649a00f5dfdf3339b5936f351d6d712fe62cebee8718","first_computed_at":"2026-05-18T03:15:57.838400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:57.838400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H20nd2IYG7V7FoJ3TzMSbEaGJBVZvQ4ymTui+WHxKQFNYmPtiJfwiXjC+DU2teVSzWEkiazER9w3emw4E7i1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:57.839142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a1cfbfd255d4937b791861300ff4e233479939fcb3d3fa9442a91310f3144b1","sha256:243d863dc353075a909dd5ac7d03a89e81b1a7df973b74450b193e2e04baf7bb"],"state_sha256":"884078bbb8f06685a5964d216beafd40c085c1f00f33d3012179e1496a152e2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzTH8lQr+SmIzVhOmtCJsdbErtwSl1jXkyq4C2zYCyjluRTQf/DZn5o7NLWgrdggJ4YpVKyubo6KYovtAD8CBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:16:13.427852Z","bundle_sha256":"aa45badaf730cfccde1a6f2d7c796919f85a16762710b2c5742eb31a0f7bef77"}}