{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:NVM6WF7NHLYZHSO2VV3SGP5LQJ","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":"ff1402c56a1da77011825f492321f006cb3da825938f27f8503071a27d9320f2","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2000-06-29T02:45:29Z","title_canon_sha256":"d92be14ee9a3fffe86889f18e783fbbaf5ead810f105b42281cf9895d32c20f0"},"schema_version":"1.0","source":{"id":"physics/0006075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0006075","created_at":"2026-07-04T16:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0006075v1","created_at":"2026-07-04T16:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0006075","created_at":"2026-07-04T16:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"NVM6WF7NHLYZ","created_at":"2026-07-04T16:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"NVM6WF7NHLYZHSO2","created_at":"2026-07-04T16:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"NVM6WF7N","created_at":"2026-07-04T16:22:13Z"}],"graph_snapshots":[{"event_id":"sha256:9bfc9442a08d08f91654d0b41e9217f80e1ff4d73ea173dcb728f23333055607","target":"graph","created_at":"2026-07-04T16:22:13Z","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/0006075/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Circular orbits of a particle sliding on a frictionless surface of revolution about a vertical axis are unstable below a critical radius if the curvature of the surface satisfies a specified condition. This behavior can be realized in a mechanical model, which give a glimpse of the greater complexity of particle orbits in curved rather than flat spacetime.","authors_text":"Kirk T. McDonald","cross_cats":[],"headline":"","license":"","primary_cat":"physics.class-ph","submitted_at":"2000-06-29T02:45:29Z","title":"A mechanical model that exhibits a gravitational critical radius"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0006075","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:d5984a3128035abb7ed0c628017e0a8565d95695f57e98c744ae744deac92e3b","target":"record","created_at":"2026-07-04T16:22:13Z","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":"ff1402c56a1da77011825f492321f006cb3da825938f27f8503071a27d9320f2","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2000-06-29T02:45:29Z","title_canon_sha256":"d92be14ee9a3fffe86889f18e783fbbaf5ead810f105b42281cf9895d32c20f0"},"schema_version":"1.0","source":{"id":"physics/0006075","kind":"arxiv","version":1}},"canonical_sha256":"6d59eb17ed3af193c9daad77233fab824db2501df5dca798d8df030f50e2fc29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d59eb17ed3af193c9daad77233fab824db2501df5dca798d8df030f50e2fc29","first_computed_at":"2026-07-04T16:22:13.164468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:22:13.164468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qduh2HIVCW8KFq5fMhT7APFzTEiOnN8s66ti7xVj1k9I/NYdTjn+99wBBiCQvQU+9D+uJId2gWuhyv028uSkBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:22:13.164824Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0006075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5984a3128035abb7ed0c628017e0a8565d95695f57e98c744ae744deac92e3b","sha256:9bfc9442a08d08f91654d0b41e9217f80e1ff4d73ea173dcb728f23333055607"],"state_sha256":"13f3ede3dd55102b7a7d849d808c7bbaebee983312cb6a246e354bd8f39aaefb"}