{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JX5PVN7QFVHTLOV5ALTSIHFY7Y","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":"1344f68e5ec71e075af90bd67e02a3c916df08386e84cf6909fbaf668a5d83b3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-23T10:52:10Z","title_canon_sha256":"b6d1b8ec04bec81690484d8c44373a9cd4c4455321fd7400ee671dafbf0e87a6"},"schema_version":"1.0","source":{"id":"1406.5866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5866","created_at":"2026-05-18T01:42:51Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5866v1","created_at":"2026-05-18T01:42:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5866","created_at":"2026-05-18T01:42:51Z"},{"alias_kind":"pith_short_12","alias_value":"JX5PVN7QFVHT","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JX5PVN7QFVHTLOV5","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JX5PVN7Q","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:1a4b68b7e9dff6bdc06bfc8997030484166982ac4745848d892160798abb5ec3","target":"graph","created_at":"2026-05-18T01:42:51Z","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":"We describe two exotic systems of classical mechanics: the McIntosh-Cisneros-Zwanziger ('MICZ') Kepler system, of motion of a charged particle in the presence of a modified dyon; and Gibbons and Manton's description of the slow motion of well-separated solitonic ('BPS') monopoles using Taub NUT space. Each system is characterized by the conservation of a Laplace-Runge-Lenz vector, and we use elementary vector techniques to show that each obeys a subtly different variation on Kepler's three laws for the Newton/Coulomb two-body problem, including a new modified Kepler third law for BPS monopoles","authors_text":"Niall J. MacKay, Sam Salour","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-23T10:52:10Z","title":"Kepler unbound: some elegant curiosities of classical mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5866","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":"sha256:9e8e060fb42040d51e20a66bcb1d08c6439783d7c52ef9f8f3cbac5a2e2dfbd0","target":"record","created_at":"2026-05-18T01:42:51Z","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":"1344f68e5ec71e075af90bd67e02a3c916df08386e84cf6909fbaf668a5d83b3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-23T10:52:10Z","title_canon_sha256":"b6d1b8ec04bec81690484d8c44373a9cd4c4455321fd7400ee671dafbf0e87a6"},"schema_version":"1.0","source":{"id":"1406.5866","kind":"arxiv","version":1}},"canonical_sha256":"4dfafab7f02d4f35babd02e7241cb8fe3115cdaf94e3173f3ca1df4ecb409601","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dfafab7f02d4f35babd02e7241cb8fe3115cdaf94e3173f3ca1df4ecb409601","first_computed_at":"2026-05-18T01:42:51.661513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:51.661513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1dwqlmDqxpBYw4Mbr4ZH+AL4DCPxDUXDABTGPbpTRp+N9FSq2qiL4YOgtQ7DUkRkl7PHLFkw56ARyrksAzX8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:51.662174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e8e060fb42040d51e20a66bcb1d08c6439783d7c52ef9f8f3cbac5a2e2dfbd0","sha256:1a4b68b7e9dff6bdc06bfc8997030484166982ac4745848d892160798abb5ec3"],"state_sha256":"566c2baeedb03a07345e33c9da2a79131b384b047aec60f25b0ab7ff93e610bd"}