{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7ZBC4J4L2SRLM7RGKXI6B3QFXA","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":"03be537952458a4e27b238c75ceb04b97bf94b1fef9b6a453da05f889f37c7c9","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-12T17:51:57Z","title_canon_sha256":"4b764374645e55313e0cf7960e120b2f674a18ce8113e7217dd3e46bd47d63d5"},"schema_version":"1.0","source":{"id":"1010.2455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2455","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2455v2","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2455","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"7ZBC4J4L2SRL","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7ZBC4J4L2SRLM7RG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7ZBC4J4L","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:95abf04a5ed65480b38d6b30b3a6159b74d9cf56f57a563959c9767ca4c0123a","target":"graph","created_at":"2026-05-18T04:20:38Z","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":"We consider non-relativistic electrons, each of the same charge to mass ratio, moving in an external magnetic field with an interaction potential depending only on the mutual separations, possibly confined by a harmonic trapping potential. We show that the system admits a \"relativity group\" which is a one-parameter family of deformations of the standard Galilei group to the Newton-Hooke group which is a Wigner-Inonu contraction of the de Sitter group. This allows a group-theoretic interpretation of Kohn's theorem and related results. Larmor's Theorem is used to show that the one-parameter fami","authors_text":"C.N. Pope, G.W. Gibbons","cross_cats":["cond-mat.str-el","cond-mat.supr-con","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-12T17:51:57Z","title":"Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2455","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:bf36818609ff39a5e3024c9f3215fb327eda3f9011da2f8f2756e08d5e6dffab","target":"record","created_at":"2026-05-18T04:20:38Z","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":"03be537952458a4e27b238c75ceb04b97bf94b1fef9b6a453da05f889f37c7c9","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-12T17:51:57Z","title_canon_sha256":"4b764374645e55313e0cf7960e120b2f674a18ce8113e7217dd3e46bd47d63d5"},"schema_version":"1.0","source":{"id":"1010.2455","kind":"arxiv","version":2}},"canonical_sha256":"fe422e278bd4a2b67e2655d1e0ee05b83131b247cfc770f9f920efc42cc22f67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe422e278bd4a2b67e2655d1e0ee05b83131b247cfc770f9f920efc42cc22f67","first_computed_at":"2026-05-18T04:20:38.418188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:38.418188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t7OHKR40KRCUMLsRW0iOk/mYxT8DrZLywbMT+71Iq/pmELntBWVpJa0p71AdPGCL2sCexBABrPDgOxI7Yf8rAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:38.418928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf36818609ff39a5e3024c9f3215fb327eda3f9011da2f8f2756e08d5e6dffab","sha256:95abf04a5ed65480b38d6b30b3a6159b74d9cf56f57a563959c9767ca4c0123a"],"state_sha256":"65e292b8aba0a31976b725a81f963d609e829422c83c87b9d3e8c30e60bae71e"}