{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:MBHUDQ3GWVXN5AMPDMYYLWGNYU","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":"8d4ec9c03dc8851293e73c794d5286fedd13d4a8646268efd82c10139bb0cc08","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"math.DS","submitted_at":"2000-07-01T00:00:00Z","title_canon_sha256":"7741ce722dfb2bdf33604d236d07cbd5d946b8e62c5aea04c73c68264ef73c2b"},"schema_version":"1.0","source":{"id":"math/0007206","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0007206","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math/0007206v1","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0007206","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"MBHUDQ3GWVXN","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MBHUDQ3GWVXN5AMP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MBHUDQ3G","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:5147ebbbeab45380053671adf99a55aa7d8a28c9a656f6c0cb38bed996d62455","target":"graph","created_at":"2026-05-18T01:38:30Z","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":"A toy top is defined as a rotationally symmetric body moving in a constant gravitational field while one point on the symmetry axis is constrained to stay in a horizontal plane. It is an integrable system similar to the Lagrange top. Euler-Poisson equations are derived. Following Felix Klein, the special unitary group $\\rm SU(2)$ is used as configuration space and the solution is given in terms of hyperelliptic integrals. The curve traced by the point moving in the horizontal plane is analyzed, and a qualitative classification is achieved. The cases in which the hyperelliptic integrals degener","authors_text":"Boris A. Springborn","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"math.DS","submitted_at":"2000-07-01T00:00:00Z","title":"The toy top, an integrable system of rigid body dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0007206","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":"sha256:57a3c5e7993a6f73f2190e564af83287702d16c6676fd3ac8e5152beb82a009e","target":"record","created_at":"2026-05-18T01:38:30Z","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":"8d4ec9c03dc8851293e73c794d5286fedd13d4a8646268efd82c10139bb0cc08","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"math.DS","submitted_at":"2000-07-01T00:00:00Z","title_canon_sha256":"7741ce722dfb2bdf33604d236d07cbd5d946b8e62c5aea04c73c68264ef73c2b"},"schema_version":"1.0","source":{"id":"math/0007206","kind":"arxiv","version":1}},"canonical_sha256":"604f41c366b56ede818f1b3185d8cdc53320bb9de3b96fcb68c55b4bb7843a8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"604f41c366b56ede818f1b3185d8cdc53320bb9de3b96fcb68c55b4bb7843a8b","first_computed_at":"2026-05-18T01:38:30.198023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:30.198023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PrHlcwxN4zO6qWLCHZISDB0wWiiCkZvllOuZBoj6HILbk2QPVN1do80SaB0dPPsWERqDIzxNqQHV1ZKjxKNXDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:30.198507Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0007206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57a3c5e7993a6f73f2190e564af83287702d16c6676fd3ac8e5152beb82a009e","sha256:5147ebbbeab45380053671adf99a55aa7d8a28c9a656f6c0cb38bed996d62455"],"state_sha256":"6a4e41e29336f3920c7b49b07d98e4c4b97dd54cd4b5d54c532c101ce405b0bb"}