{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HBKWQOMGHKXN3AK4QLAXTQNOLQ","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":"4e9acfa59d054fa36cbaf92c04c933478b779e2b7ebde111d989a2289e9a99d3","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-07T14:34:50Z","title_canon_sha256":"b6d435984af7ddd6768bf0973b9051e5abd6e54600d589598e4622fc7bd20894"},"schema_version":"1.0","source":{"id":"1111.1595","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1595","created_at":"2026-05-18T01:59:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1595v2","created_at":"2026-05-18T01:59:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1595","created_at":"2026-05-18T01:59:44Z"},{"alias_kind":"pith_short_12","alias_value":"HBKWQOMGHKXN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HBKWQOMGHKXN3AK4","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HBKWQOMG","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:5956e5cfe24169b0e644662b142de54b070786f4621dbd3e00dc820397aa6cbb","target":"graph","created_at":"2026-05-18T01:59:44Z","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":"$N$ \"exotic\" [alias non-commutative] particles with masses $m_a$, charges $e_a$ and non-commutative parameters $\\theta_a$, moving in a uniform magnetic field $B$, separate into center-of-mass and internal motions if Kohn's condition $e_a/m_a=\\const$ is supplemented with $e_a\\theta_a=\\const.$ Then the center-of-mass behaves as a single exotic particle carrying the total mass and charge of the system, $M$ and $e$, and a suitably defined non-commutative parameter $\\Theta$. For vanishing electric field off the critical case $e\\Theta B\\neq1$, the particles perform the usual cyclotronic motion with ","authors_text":"P. A. Horvathy, P-M. Zhang","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-07T14:34:50Z","title":"Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1595","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":"sha256:4ec4e74e68273720ede23eddbc9f7cae9ddcb6d8b87122d2307738736032d2ee","target":"record","created_at":"2026-05-18T01:59:44Z","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":"4e9acfa59d054fa36cbaf92c04c933478b779e2b7ebde111d989a2289e9a99d3","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-07T14:34:50Z","title_canon_sha256":"b6d435984af7ddd6768bf0973b9051e5abd6e54600d589598e4622fc7bd20894"},"schema_version":"1.0","source":{"id":"1111.1595","kind":"arxiv","version":2}},"canonical_sha256":"38556839863aaedd815c82c179c1ae5c2b746c2a068408f7aabe60389a8a3da9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38556839863aaedd815c82c179c1ae5c2b746c2a068408f7aabe60389a8a3da9","first_computed_at":"2026-05-18T01:59:44.518112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:44.518112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"arX0K5dnbj0GxMJi/nLUsY9M+lpv02V+d+LyGp0j1jA8BKMHITYvpTwNt/DpzOqwnZmQ4/Z6yu9vFeP4CBKkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:44.518751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1595","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ec4e74e68273720ede23eddbc9f7cae9ddcb6d8b87122d2307738736032d2ee","sha256:5956e5cfe24169b0e644662b142de54b070786f4621dbd3e00dc820397aa6cbb"],"state_sha256":"7a63d15ac1a26b43e529644054afa8ab7e5eb5396b5d253ebe81e83bf48b3878"}