{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:ZP5ZPBTQDT4LLQRIPOQ647RMUF","short_pith_number":"pith:ZP5ZPBTQ","schema_version":"1.0","canonical_sha256":"cbfb9786701cf8b5c2287ba1ee7e2ca15bc498f7820095f4e74308543c2a5c49","source":{"kind":"arxiv","id":"0712.3081","version":1},"attestation_state":"computed","paper":{"title":"Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"M. Esmeralda Sousa-Dias, Miguel Rodriguez-Olmos","submitted_at":"2007-12-19T00:15:11Z","abstract_excerpt":"We apply geometric techniques to obtain the necessary and sufficient conditions on the existence and nonlinear stability of self-gravitating Riemann ellipsoids having at least two equal axes."},"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":"0712.3081","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-12-19T00:15:11Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"4747de870f02830a91cf5a339b0a0637d8a115f27001c9bb7c3a84500b09e973","abstract_canon_sha256":"f79c1d645711ffc6f37cacabec5f9dc1d5ac3e2a52416b94d7c420d9b5894c9f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:02.626948Z","signature_b64":"I7x+0+rlrsGoJnh2tIayfiONZFQyxxABeH/KLyPrN8ylgt2c3cpbiTbo/p0iRYFISmLo4WlgxxivBNnb+EYABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbfb9786701cf8b5c2287ba1ee7e2ca15bc498f7820095f4e74308543c2a5c49","last_reissued_at":"2026-05-18T02:16:02.626443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:02.626443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"M. Esmeralda Sousa-Dias, Miguel Rodriguez-Olmos","submitted_at":"2007-12-19T00:15:11Z","abstract_excerpt":"We apply geometric techniques to obtain the necessary and sufficient conditions on the existence and nonlinear stability of self-gravitating Riemann ellipsoids having at least two equal axes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3081","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":"0712.3081","created_at":"2026-05-18T02:16:02.626522+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.3081v1","created_at":"2026-05-18T02:16:02.626522+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3081","created_at":"2026-05-18T02:16:02.626522+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZP5ZPBTQDT4L","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZP5ZPBTQDT4LLQRI","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZP5ZPBTQ","created_at":"2026-05-18T12:25:56.245647+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/ZP5ZPBTQDT4LLQRIPOQ647RMUF","json":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF.json","graph_json":"https://pith.science/api/pith-number/ZP5ZPBTQDT4LLQRIPOQ647RMUF/graph.json","events_json":"https://pith.science/api/pith-number/ZP5ZPBTQDT4LLQRIPOQ647RMUF/events.json","paper":"https://pith.science/paper/ZP5ZPBTQ"},"agent_actions":{"view_html":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF","download_json":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF.json","view_paper":"https://pith.science/paper/ZP5ZPBTQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.3081&json=true","fetch_graph":"https://pith.science/api/pith-number/ZP5ZPBTQDT4LLQRIPOQ647RMUF/graph.json","fetch_events":"https://pith.science/api/pith-number/ZP5ZPBTQDT4LLQRIPOQ647RMUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF/action/storage_attestation","attest_author":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF/action/author_attestation","sign_citation":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF/action/citation_signature","submit_replication":"https://pith.science/pith/ZP5ZPBTQDT4LLQRIPOQ647RMUF/action/replication_record"}},"created_at":"2026-05-18T02:16:02.626522+00:00","updated_at":"2026-05-18T02:16:02.626522+00:00"}