{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HBKWQOMGHKXN3AK4QLAXTQNOLQ","short_pith_number":"pith:HBKWQOMG","canonical_record":{"source":{"id":"1111.1595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-07T14:34:50Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"b6d435984af7ddd6768bf0973b9051e5abd6e54600d589598e4622fc7bd20894","abstract_canon_sha256":"4e9acfa59d054fa36cbaf92c04c933478b779e2b7ebde111d989a2289e9a99d3"},"schema_version":"1.0"},"canonical_sha256":"38556839863aaedd815c82c179c1ae5c2b746c2a068408f7aabe60389a8a3da9","source":{"kind":"arxiv","id":"1111.1595","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HBKWQOMGHKXN3AK4QLAXTQNOLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-07T14:34:50Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"b6d435984af7ddd6768bf0973b9051e5abd6e54600d589598e4622fc7bd20894","abstract_canon_sha256":"4e9acfa59d054fa36cbaf92c04c933478b779e2b7ebde111d989a2289e9a99d3"},"schema_version":"1.0"},"canonical_sha256":"38556839863aaedd815c82c179c1ae5c2b746c2a068408f7aabe60389a8a3da9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:44.518751Z","signature_b64":"arX0K5dnbj0GxMJi/nLUsY9M+lpv02V+d+LyGp0j1jA8BKMHITYvpTwNt/DpzOqwnZmQ4/Z6yu9vFeP4CBKkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38556839863aaedd815c82c179c1ae5c2b746c2a068408f7aabe60389a8a3da9","last_reissued_at":"2026-05-18T01:59:44.518112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:44.518112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1595","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHtVgSdYCBrC87bdA+hSIzOaiRh5Epuu6Z1k0wqutV0frInIT/iX4jbPQ3uBvyTr++C5VfvPhJ7W0Nlyw/zDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:51:28.828851Z"},"content_sha256":"4ec4e74e68273720ede23eddbc9f7cae9ddcb6d8b87122d2307738736032d2ee","schema_version":"1.0","event_id":"sha256:4ec4e74e68273720ede23eddbc9f7cae9ddcb6d8b87122d2307738736032d2ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HBKWQOMGHKXN3AK4QLAXTQNOLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"P. A. Horvathy, P-M. Zhang","submitted_at":"2011-11-07T14:34:50Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1595","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6zKHBEjbhAHta6/k1fWHfkyoCWb8hPCpoGkIu5e38htbiI76JTvrIaNrD14yEFHzQvMCNraD9k7BgcgmbWbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:51:28.829463Z"},"content_sha256":"5956e5cfe24169b0e644662b142de54b070786f4621dbd3e00dc820397aa6cbb","schema_version":"1.0","event_id":"sha256:5956e5cfe24169b0e644662b142de54b070786f4621dbd3e00dc820397aa6cbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/bundle.json","state_url":"https://pith.science/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T21:51:28Z","links":{"resolver":"https://pith.science/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ","bundle":"https://pith.science/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/bundle.json","state":"https://pith.science/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HBKWQOMGHKXN3AK4QLAXTQNOLQ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwjlbwmyI5/rplX01j0TmO0TwYIBa94vTSn1wKAxV3MJ0BVJvVinFq21khaOpuQrrhyROJggZqNOM5KM5Et+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:51:28.832843Z","bundle_sha256":"0bf6fcaac9b74268fd460c8a33572dfe445795e8729758b4beb1266c964a2a7f"}}