{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:DP5CL5PFGZVGSCGN3MQEJMMLDD","short_pith_number":"pith:DP5CL5PF","schema_version":"1.0","canonical_sha256":"1bfa25f5e5366a6908cddb2044b18b18c607801ce8fb25da9f84c7eeb8af5361","source":{"kind":"arxiv","id":"math-ph/0209056","version":1},"attestation_state":"computed","paper":{"title":"Quaternionic integrable systems","license":"","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"G. Gaeta, P. Morando","submitted_at":"2002-09-25T22:39:43Z","abstract_excerpt":"Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on hyperKahler structures."},"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-ph/0209056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-09-25T22:39:43Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"0112f6fcd336ca28e97888b864c32291dc1a5e3697279344b1a2301bef19221d","abstract_canon_sha256":"5ce56f1391dc60415e667c2d4f226579600db30cad963540079a0d39dee032d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:18.970996Z","signature_b64":"6kTffubRzQI1x1TGQWsmqnsSC3M+/seM0B0vWnXvIE9WPfrzlxdQm6uQB7ArBIZIQ0AMG0txq/bZYiOJ/iKEAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bfa25f5e5366a6908cddb2044b18b18c607801ce8fb25da9f84c7eeb8af5361","last_reissued_at":"2026-05-18T00:57:18.970367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:18.970367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quaternionic integrable systems","license":"","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"G. Gaeta, P. Morando","submitted_at":"2002-09-25T22:39:43Z","abstract_excerpt":"Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on hyperKahler structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0209056","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-ph/0209056","created_at":"2026-05-18T00:57:18.970471+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0209056v1","created_at":"2026-05-18T00:57:18.970471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0209056","created_at":"2026-05-18T00:57:18.970471+00:00"},{"alias_kind":"pith_short_12","alias_value":"DP5CL5PFGZVG","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"DP5CL5PFGZVGSCGN","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"DP5CL5PF","created_at":"2026-05-18T12:25:50.845339+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/DP5CL5PFGZVGSCGN3MQEJMMLDD","json":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD.json","graph_json":"https://pith.science/api/pith-number/DP5CL5PFGZVGSCGN3MQEJMMLDD/graph.json","events_json":"https://pith.science/api/pith-number/DP5CL5PFGZVGSCGN3MQEJMMLDD/events.json","paper":"https://pith.science/paper/DP5CL5PF"},"agent_actions":{"view_html":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD","download_json":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD.json","view_paper":"https://pith.science/paper/DP5CL5PF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0209056&json=true","fetch_graph":"https://pith.science/api/pith-number/DP5CL5PFGZVGSCGN3MQEJMMLDD/graph.json","fetch_events":"https://pith.science/api/pith-number/DP5CL5PFGZVGSCGN3MQEJMMLDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD/action/storage_attestation","attest_author":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD/action/author_attestation","sign_citation":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD/action/citation_signature","submit_replication":"https://pith.science/pith/DP5CL5PFGZVGSCGN3MQEJMMLDD/action/replication_record"}},"created_at":"2026-05-18T00:57:18.970471+00:00","updated_at":"2026-05-18T00:57:18.970471+00:00"}