{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:M4AKKHSE3VBAHT5DDYQYSMOS2K","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":"949f0b1d9e9762244d35e50327104914644350b2582408cbb09aeaaa1a37a3f3","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-28T09:01:36Z","title_canon_sha256":"2f630658e2040232455607f8374de5b98c652cae5cf2324b26d2e4ffb76ce014"},"schema_version":"1.0","source":{"id":"physics/0507198","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0507198","created_at":"2026-07-05T00:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0507198v1","created_at":"2026-07-05T00:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0507198","created_at":"2026-07-05T00:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"M4AKKHSE3VBA","created_at":"2026-07-05T00:49:52Z"},{"alias_kind":"pith_short_16","alias_value":"M4AKKHSE3VBAHT5D","created_at":"2026-07-05T00:49:52Z"},{"alias_kind":"pith_short_8","alias_value":"M4AKKHSE","created_at":"2026-07-05T00:49:52Z"}],"graph_snapshots":[{"event_id":"sha256:b8fb89041c23e0c3b3474a06d2055dabe59af7bd18dc62c61b6e3871c96ac54d","target":"graph","created_at":"2026-07-05T00:49:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/0507198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reexamine a very classical problem, the spinning behavior of the tippe top on a horizontal table. The analysis is made for an eccentric sphere version of the tippe top, assuming a modified Coulomb law for the sliding friction, which is a continuous function of the slip velocity $\\vec v_P$ at the point of contact and vanishes at $\\vec v_P=0$. We study the relevance of the gyroscopic balance condition (GBC), which was discovered to hold for a rapidly spinning hard-boiled egg by Moffatt and Shimomura, to the inversion phenomenon of the tippe top. We introduce a variable $\\xi$ so that $\\xi=0$ c","authors_text":"Ken Sasaki, Shinsuke Watanabe, Takahiro Ueda","cross_cats":[],"headline":"","license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-28T09:01:36Z","title":"Motion of the Tippe Top : Gyroscopic Balance Condition and Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0507198","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":"sha256:1f143f7cd401565b5c0008ddeedc2d6e989edcb995e6f03b7675e1d00b2ed2bc","target":"record","created_at":"2026-07-05T00:49:52Z","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":"949f0b1d9e9762244d35e50327104914644350b2582408cbb09aeaaa1a37a3f3","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-28T09:01:36Z","title_canon_sha256":"2f630658e2040232455607f8374de5b98c652cae5cf2324b26d2e4ffb76ce014"},"schema_version":"1.0","source":{"id":"physics/0507198","kind":"arxiv","version":1}},"canonical_sha256":"6700a51e44dd4203cfa31e218931d2d28bafc664c03581eea7816be4dd1a178b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6700a51e44dd4203cfa31e218931d2d28bafc664c03581eea7816be4dd1a178b","first_computed_at":"2026-07-05T00:49:52.594077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:49:52.594077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UO2EuAzMqxWykBkPKAhkJBm8LjpIZUgOSDJLpxE5mySQLDtjDpEitRlFaNDaLZP5t86pKNVULfvkV0tZ1U61Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:49:52.594572Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0507198","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f143f7cd401565b5c0008ddeedc2d6e989edcb995e6f03b7675e1d00b2ed2bc","sha256:b8fb89041c23e0c3b3474a06d2055dabe59af7bd18dc62c61b6e3871c96ac54d"],"state_sha256":"e9775d084339ca4d1f0ead6b6b2fe118c85ad9dafcb109c661ae1452a3c0b7a9"}