{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GNZTUTZQN2LQA6I2I5U7CAVXOP","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":"f371ab9757b41d92dc6ee2d5de1b205828eb8243f710861939e5c0974c80bb21","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-01-04T13:50:29Z","title_canon_sha256":"667b84f89847f3940916f3ce5932b62e87a26902a0ae6ab0faf1a9a7a01e1f48"},"schema_version":"1.0","source":{"id":"1801.01348","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01348","created_at":"2026-05-18T00:21:06Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01348v1","created_at":"2026-05-18T00:21:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01348","created_at":"2026-05-18T00:21:06Z"},{"alias_kind":"pith_short_12","alias_value":"GNZTUTZQN2LQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GNZTUTZQN2LQA6I2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GNZTUTZQ","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:172504b4bc62ad80ea7ac2eba90e6a91509a0baea6db663b974e13fc215e76d6","target":"graph","created_at":"2026-05-18T00:21:06Z","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":"The spin force operator on a non-relativistic Dirac oscillator ( in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin-orbit interaction) is derived using the Heisenberg equations of motion and is seen to be formally similar to the force by the electromagnetic field on a moving charged particle . When confined to a sphere of radius R, it is shown that the Hamiltonian of this non-relativistic oscillator can be expressed as a mere kinetic energy operator with an anomalous part. As a result, the power by the spin force and torque operators i","authors_text":"M. S. Shikakhwa","cross_cats":["physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-01-04T13:50:29Z","title":"Spin Force and Torque in Non-relativistic Dirac Oscillator on a Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01348","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":"sha256:4dbfd5f67053abedfae62805112d1c7983a45f6b33abd717f9b811c4e08baa97","target":"record","created_at":"2026-05-18T00:21:06Z","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":"f371ab9757b41d92dc6ee2d5de1b205828eb8243f710861939e5c0974c80bb21","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-01-04T13:50:29Z","title_canon_sha256":"667b84f89847f3940916f3ce5932b62e87a26902a0ae6ab0faf1a9a7a01e1f48"},"schema_version":"1.0","source":{"id":"1801.01348","kind":"arxiv","version":1}},"canonical_sha256":"33733a4f306e9700791a4769f102b773c796f48e6318116c8c47977dcd46b50f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33733a4f306e9700791a4769f102b773c796f48e6318116c8c47977dcd46b50f","first_computed_at":"2026-05-18T00:21:06.890078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:06.890078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3sKRCvlmepNCBgA54pq6G3fcIhK32OKMSEQb1q52EpZqZmLnmPyrgG6iGTPT0g/eItujBzD5182QjvxI2b50DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:06.890499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01348","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dbfd5f67053abedfae62805112d1c7983a45f6b33abd717f9b811c4e08baa97","sha256:172504b4bc62ad80ea7ac2eba90e6a91509a0baea6db663b974e13fc215e76d6"],"state_sha256":"56de0d430a32b11c113d0180006a759aa5b0805f0fe7876aa145722e878c1650"}