{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QNJLXOWAIOMWRCWYFNLLMEBSP5","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":"545c5def4697c52fa1175bacd6230f59aeb8ee9574b02d57dd85a754d8255e87","cross_cats_sorted":["cond-mat.mtrl-sci","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-31T19:06:24Z","title_canon_sha256":"9a2ef95b51e0b85796e76a5029c3a1cee2b450d7af4b8b17ee01ae105a682f8d"},"schema_version":"1.0","source":{"id":"1110.6906","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6906","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6906v2","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6906","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"QNJLXOWAIOMW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNJLXOWAIOMWRCWY","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNJLXOWA","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:4c2eafe93fc81b4dfb99ba25c02290f245f6694b086db3608f3f45576a2a0041","target":"graph","created_at":"2026-05-18T04:08:23Z","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":"Inspired by the geometrical methods allowing the introduction of mechanical systems confined in the plane and endowed with exotic galilean symmetry, we resort to the Lagrange-Souriau 2-form formalism, in order to look for a wide class of 3D systems, involving not commuting and/or not canonical variables, but possessing geometric as well gauge symmetries in position and momenta space too. As a paradigmatic example, a charged particle simultaneously interacting with a magnetic monopole and a dual monopole in momenta space is considered. The main features of the motions, conservation laws and the","authors_text":"Luigi Martina","cross_cats":["cond-mat.mtrl-sci","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-31T19:06:24Z","title":"Dynamics in the magnetic/dual magnetic monopole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6906","kind":"arxiv","version":2},"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":"sha256:05b9da0579e4faeb78d9523e1212430da25f4bdc686675dd8bdef4210d697e96","target":"record","created_at":"2026-05-18T04:08:23Z","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":"545c5def4697c52fa1175bacd6230f59aeb8ee9574b02d57dd85a754d8255e87","cross_cats_sorted":["cond-mat.mtrl-sci","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-31T19:06:24Z","title_canon_sha256":"9a2ef95b51e0b85796e76a5029c3a1cee2b450d7af4b8b17ee01ae105a682f8d"},"schema_version":"1.0","source":{"id":"1110.6906","kind":"arxiv","version":2}},"canonical_sha256":"8352bbbac04399688ad82b56b610327f62520cc2969623bd201a9352e3b4aa4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8352bbbac04399688ad82b56b610327f62520cc2969623bd201a9352e3b4aa4e","first_computed_at":"2026-05-18T04:08:23.644146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.644146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JxHpyql6VLZNbV/6E7HpToCNaB/lpSvEdCYXxzrW99JBcEdxBOQEYM6qRky0nb9Ls/TZq5qtVM4LFAV32kf8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.644641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6906","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05b9da0579e4faeb78d9523e1212430da25f4bdc686675dd8bdef4210d697e96","sha256:4c2eafe93fc81b4dfb99ba25c02290f245f6694b086db3608f3f45576a2a0041"],"state_sha256":"f54b55a1faffea25beb3f82f936d7f75930f4b5f1faf1348ad3f890213fd6fe3"}