{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ODTI6GKO7I75VB7RAHPIIEK2LA","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":"fd808ca92df13385e9d63bb3e1907eb64c57221451ba37c23f74a7971421f7c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-23T13:11:25Z","title_canon_sha256":"e21eefda8c79370076bf86ef85d4ce7bf6c4ef40a881d9bdcfc56e7a7e08a3fe"},"schema_version":"1.0","source":{"id":"1202.5169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5169","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5169v1","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5169","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"pith_short_12","alias_value":"ODTI6GKO7I75","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ODTI6GKO7I75VB7R","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ODTI6GKO","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:ea3f304341865f8344a3ad6ab5b6e848fb4d19f3dd5503b7e08716ab3b794ed6","target":"graph","created_at":"2026-05-18T04:01:38Z","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":"In this paper, we describe a multiscale model based on magneto-static traps of neutral atoms or ion traps. The idea is to levitate a magnetic spinning top in the air repelled by a base magnet.\n  For such a problem, we have to deal with different time and spatial scales and we propose a novel splitting method for solving the levitron problem.\n  We focus on the multiscale problem, which we obtain by coupling the kinetic T and the potential U part of our equation. The kinetic and potential parts, can be seen as generators of flows.\n  The main problem is based on the accurate computation of the Ha","authors_text":"Juergen Geiser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-23T13:11:25Z","title":"Multiscale methods for Levitron Problems: Theory and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5169","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":"sha256:5b1d0c6d4a34eed6c31717e8ea088c790fead7d37c57b9800a96cdd3bcb497d0","target":"record","created_at":"2026-05-18T04:01:38Z","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":"fd808ca92df13385e9d63bb3e1907eb64c57221451ba37c23f74a7971421f7c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-23T13:11:25Z","title_canon_sha256":"e21eefda8c79370076bf86ef85d4ce7bf6c4ef40a881d9bdcfc56e7a7e08a3fe"},"schema_version":"1.0","source":{"id":"1202.5169","kind":"arxiv","version":1}},"canonical_sha256":"70e68f194efa3fda87f101de84115a5811c04cff16679c2f989f57039c6a4415","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70e68f194efa3fda87f101de84115a5811c04cff16679c2f989f57039c6a4415","first_computed_at":"2026-05-18T04:01:38.806101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:38.806101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NVPP1eqGAgSBZ7xEXzrSe3HgNTpUqcvSMJF1RETnd8oAglnBFSmxrPYdbe+S+gMfR8iNnI1ti+BHEUhkz6eXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:38.806641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b1d0c6d4a34eed6c31717e8ea088c790fead7d37c57b9800a96cdd3bcb497d0","sha256:ea3f304341865f8344a3ad6ab5b6e848fb4d19f3dd5503b7e08716ab3b794ed6"],"state_sha256":"a4de2b70be9dbd90e17e101aaa5b7e69c8522b64856899b137c2df0c03bb63a6"}