{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GFH2MF6NDLHMP6ENMKKUG2HMU5","short_pith_number":"pith:GFH2MF6N","canonical_record":{"source":{"id":"1512.04872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-15T17:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"e59b3529ae74426dfe486140e6b054968bfa6bf6c2dd4c265a56dc4b55a65759","abstract_canon_sha256":"3cce87104467d78cdecda6af1e7be78cdd90d64e4ee086b12d7cead31a7c945a"},"schema_version":"1.0"},"canonical_sha256":"314fa617cd1acec7f88d62954368eca77ff38758e7362955fe68e5c1efdfee2d","source":{"kind":"arxiv","id":"1512.04872","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04872","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04872v1","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04872","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"GFH2MF6NDLHM","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GFH2MF6NDLHMP6EN","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GFH2MF6N","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GFH2MF6NDLHMP6ENMKKUG2HMU5","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-15T17:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"e59b3529ae74426dfe486140e6b054968bfa6bf6c2dd4c265a56dc4b55a65759","abstract_canon_sha256":"3cce87104467d78cdecda6af1e7be78cdd90d64e4ee086b12d7cead31a7c945a"},"schema_version":"1.0"},"canonical_sha256":"314fa617cd1acec7f88d62954368eca77ff38758e7362955fe68e5c1efdfee2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:15.202345Z","signature_b64":"CEKJ8HO93QL4No7Y3y0Gcoi5fLry7tqWl8v8FPlGxvwODs09dt8mEM7YXyn/i2L3u/ylWIM6NmyK8HF8cFf5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"314fa617cd1acec7f88d62954368eca77ff38758e7362955fe68e5c1efdfee2d","last_reissued_at":"2026-05-18T01:24:15.201644Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:15.201644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04872","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rSGPXQ3gWBSK7lSjQoea9JGfUNFoT9AZdAMRW2At2LLzZX3XqY9MtnDQXegkZYOMU4d6EbdVKSa9X3Rmfi+vBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:12:17.423469Z"},"content_sha256":"2f5ea2081fbb804d97db92b7a7871f89421d2e2b8261ff312ad7bff2f68334b4","schema_version":"1.0","event_id":"sha256:2f5ea2081fbb804d97db92b7a7871f89421d2e2b8261ff312ad7bff2f68334b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GFH2MF6NDLHMP6ENMKKUG2HMU5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Clebsch System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Franco Magri, Taras Skrypnyk","submitted_at":"2015-12-15T17:34:00Z","abstract_excerpt":"The Clebsch system is one of the few classical examples of rigid bodies whose equations of motion are known to be integrable in the sense of Liouville. The explicit solution of its equations of motion, however, is particularly hard, and it has defeated many attempts in the past. In this paper we present a novel and rather detailed study of these equations of motion. Our approach is based on an improved version of the method originally used, in 1889, by Sophia Kowalewski to solve the equations of motion of the top bearing her name. We improve her method in two important points, and we clarify t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04872","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3gqINdL2F9Y7RB/QN8RoWK12ry39nJ9FeQBz6iSen0p/ULEZsrUXUBNEO+usy9yG+Ul3GynvTrV5TFm+/GmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:12:17.424220Z"},"content_sha256":"95c846364799a58dc71b580168574c2a15de89e65beb28f8962393143b2184f0","schema_version":"1.0","event_id":"sha256:95c846364799a58dc71b580168574c2a15de89e65beb28f8962393143b2184f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/bundle.json","state_url":"https://pith.science/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/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":"2026-05-31T18:12:17Z","links":{"resolver":"https://pith.science/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5","bundle":"https://pith.science/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/bundle.json","state":"https://pith.science/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFH2MF6NDLHMP6ENMKKUG2HMU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GFH2MF6NDLHMP6ENMKKUG2HMU5","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":"3cce87104467d78cdecda6af1e7be78cdd90d64e4ee086b12d7cead31a7c945a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-15T17:34:00Z","title_canon_sha256":"e59b3529ae74426dfe486140e6b054968bfa6bf6c2dd4c265a56dc4b55a65759"},"schema_version":"1.0","source":{"id":"1512.04872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04872","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04872v1","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04872","created_at":"2026-05-18T01:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"GFH2MF6NDLHM","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GFH2MF6NDLHMP6EN","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GFH2MF6N","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:95c846364799a58dc71b580168574c2a15de89e65beb28f8962393143b2184f0","target":"graph","created_at":"2026-05-18T01:24:15Z","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":"The Clebsch system is one of the few classical examples of rigid bodies whose equations of motion are known to be integrable in the sense of Liouville. The explicit solution of its equations of motion, however, is particularly hard, and it has defeated many attempts in the past. In this paper we present a novel and rather detailed study of these equations of motion. Our approach is based on an improved version of the method originally used, in 1889, by Sophia Kowalewski to solve the equations of motion of the top bearing her name. We improve her method in two important points, and we clarify t","authors_text":"Franco Magri, Taras Skrypnyk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-15T17:34:00Z","title":"The Clebsch System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04872","kind":"arxiv","version":1},"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":"sha256:2f5ea2081fbb804d97db92b7a7871f89421d2e2b8261ff312ad7bff2f68334b4","target":"record","created_at":"2026-05-18T01:24:15Z","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":"3cce87104467d78cdecda6af1e7be78cdd90d64e4ee086b12d7cead31a7c945a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-15T17:34:00Z","title_canon_sha256":"e59b3529ae74426dfe486140e6b054968bfa6bf6c2dd4c265a56dc4b55a65759"},"schema_version":"1.0","source":{"id":"1512.04872","kind":"arxiv","version":1}},"canonical_sha256":"314fa617cd1acec7f88d62954368eca77ff38758e7362955fe68e5c1efdfee2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"314fa617cd1acec7f88d62954368eca77ff38758e7362955fe68e5c1efdfee2d","first_computed_at":"2026-05-18T01:24:15.201644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:15.201644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CEKJ8HO93QL4No7Y3y0Gcoi5fLry7tqWl8v8FPlGxvwODs09dt8mEM7YXyn/i2L3u/ylWIM6NmyK8HF8cFf5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:15.202345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f5ea2081fbb804d97db92b7a7871f89421d2e2b8261ff312ad7bff2f68334b4","sha256:95c846364799a58dc71b580168574c2a15de89e65beb28f8962393143b2184f0"],"state_sha256":"af38bcf4d45f611d3dbd3bbd1e0705b748d7323c554f62fc330152d6dbc46bc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFNcy1ASf+FFrdCgGPM4wOdggiyCkgIhOWmsWmPfC6uWUohLOgUJepATnh0i1YCD7DcX/lo62rbtIrr8EHU0Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:12:17.428724Z","bundle_sha256":"b42bab05457e0d71ccdcfa6c8b22592bf43b9d42cf955bf005a6270e0e43418c"}}