{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:SBQQSSUNU7RGWEAH7VCDQHMZMX","short_pith_number":"pith:SBQQSSUN","schema_version":"1.0","canonical_sha256":"9061094a8da7e26b1007fd44381d9965d9aab99e30579509730569cdba961934","source":{"kind":"arxiv","id":"math-ph/9911047","version":1},"attestation_state":"computed","paper":{"title":"An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4)","license":"","headline":"","cross_cats":["math.MP","math.SG"],"primary_cat":"math-ph","authors_text":"Borislav Gajic, Vladimir Dragovic","submitted_at":"1999-11-30T11:23:30Z","abstract_excerpt":"We present an L-A pair for the Apel'rot case of a heavy rigid 3-dimensional body. Using it we give an algebro-geometric integration procedure. Generalizing this L-A pair, we obtain a new completely integrable case of the Euler-Poisson equations in dimension four. Explicit formulae for integrals which are in involution are given. This system is a counterexample to one well known Ratiu's theorem. Corrected version of this classification theorem is proved."},"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/9911047","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"1999-11-30T11:23:30Z","cross_cats_sorted":["math.MP","math.SG"],"title_canon_sha256":"44269c4612ce07ab501351118197c8713d7f25f1ded2003dabe8d46114628ecf","abstract_canon_sha256":"efe93e1ab8e72e865b791cf5074f0f9a66790a1ef695dcac7b4b7f11dc9c8e7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:34:12.354213Z","signature_b64":"mdqor50BFudLABk79t+h00u7S/ceUsyw1VjGWutwx+OXNaH7SXYthLDLtufIHEVMCgwiWLkVUeImOnjqzPazCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9061094a8da7e26b1007fd44381d9965d9aab99e30579509730569cdba961934","last_reissued_at":"2026-07-04T14:34:12.353740Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:34:12.353740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4)","license":"","headline":"","cross_cats":["math.MP","math.SG"],"primary_cat":"math-ph","authors_text":"Borislav Gajic, Vladimir Dragovic","submitted_at":"1999-11-30T11:23:30Z","abstract_excerpt":"We present an L-A pair for the Apel'rot case of a heavy rigid 3-dimensional body. Using it we give an algebro-geometric integration procedure. Generalizing this L-A pair, we obtain a new completely integrable case of the Euler-Poisson equations in dimension four. Explicit formulae for integrals which are in involution are given. This system is a counterexample to one well known Ratiu's theorem. Corrected version of this classification theorem is proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9911047","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/math-ph/9911047/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":"math-ph/9911047","created_at":"2026-07-04T14:34:12.353811+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9911047v1","created_at":"2026-07-04T14:34:12.353811+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9911047","created_at":"2026-07-04T14:34:12.353811+00:00"},{"alias_kind":"pith_short_12","alias_value":"SBQQSSUNU7RG","created_at":"2026-07-04T14:34:12.353811+00:00"},{"alias_kind":"pith_short_16","alias_value":"SBQQSSUNU7RGWEAH","created_at":"2026-07-04T14:34:12.353811+00:00"},{"alias_kind":"pith_short_8","alias_value":"SBQQSSUN","created_at":"2026-07-04T14:34:12.353811+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/SBQQSSUNU7RGWEAH7VCDQHMZMX","json":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX.json","graph_json":"https://pith.science/api/pith-number/SBQQSSUNU7RGWEAH7VCDQHMZMX/graph.json","events_json":"https://pith.science/api/pith-number/SBQQSSUNU7RGWEAH7VCDQHMZMX/events.json","paper":"https://pith.science/paper/SBQQSSUN"},"agent_actions":{"view_html":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX","download_json":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX.json","view_paper":"https://pith.science/paper/SBQQSSUN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/9911047&json=true","fetch_graph":"https://pith.science/api/pith-number/SBQQSSUNU7RGWEAH7VCDQHMZMX/graph.json","fetch_events":"https://pith.science/api/pith-number/SBQQSSUNU7RGWEAH7VCDQHMZMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX/action/storage_attestation","attest_author":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX/action/author_attestation","sign_citation":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX/action/citation_signature","submit_replication":"https://pith.science/pith/SBQQSSUNU7RGWEAH7VCDQHMZMX/action/replication_record"}},"created_at":"2026-07-04T14:34:12.353811+00:00","updated_at":"2026-07-04T14:34:12.353811+00:00"}