{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7PHT3CCWLE3JSPVJSAARCYNCCY","short_pith_number":"pith:7PHT3CCW","schema_version":"1.0","canonical_sha256":"fbcf3d88565936993ea990011161a2161ed6a26127660b4c9e7fb345b885aa01","source":{"kind":"arxiv","id":"1312.2973","version":2},"attestation_state":"computed","paper":{"title":"On the $\\kappa$-Dirac Oscillator revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"E. C. Rodrigues, E. O. Silva, F. M. Andrade, M. M. Ferreira Jr.","submitted_at":"2013-12-10T21:34:18Z","abstract_excerpt":"This Letter is based on the $\\kappa$-Dirac equation, derived from the $\\kappa$-Poincar\\'{e}-Hopf algebra. It is shown that the $\\kappa$-Dirac equation preserves parity while breaks charge conjugation and time reversal symmetries. Introducing the Dirac oscillator prescription, $\\mathbf{p}\\to\\mathbf{p}-im\\omega\\beta\\mathbf{r}$, in the $\\kappa$-Dirac equation, one obtains the $\\kappa$-Dirac oscillator. Using a decomposition in terms of spin angular functions, one achieves the deformed radial equations, with the associated deformed energy eigenvalues and eigenfunctions. The deformation parameter b"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1312.2973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-10T21:34:18Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"e3825975e1add9dcbc6733bab84efe76971e6778a953c636e5fa13af550d431e","abstract_canon_sha256":"8cd76460a98e513a24fdcf7cf3443fb7419be5c71f4cb476b1c0f126a7f72c6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:58.700745Z","signature_b64":"aX1AKhe5ftH8yexL7Txc0xYpeL6NcPqaAA/KoxE/Lyb7c37primqtlUqg2a/Vjk6PgL4F/+AuNi/I2CTFayVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbcf3d88565936993ea990011161a2161ed6a26127660b4c9e7fb345b885aa01","last_reissued_at":"2026-05-18T02:55:58.700359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:58.700359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the $\\kappa$-Dirac Oscillator revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"E. C. Rodrigues, E. O. Silva, F. M. Andrade, M. M. Ferreira Jr.","submitted_at":"2013-12-10T21:34:18Z","abstract_excerpt":"This Letter is based on the $\\kappa$-Dirac equation, derived from the $\\kappa$-Poincar\\'{e}-Hopf algebra. It is shown that the $\\kappa$-Dirac equation preserves parity while breaks charge conjugation and time reversal symmetries. Introducing the Dirac oscillator prescription, $\\mathbf{p}\\to\\mathbf{p}-im\\omega\\beta\\mathbf{r}$, in the $\\kappa$-Dirac equation, one obtains the $\\kappa$-Dirac oscillator. Using a decomposition in terms of spin angular functions, one achieves the deformed radial equations, with the associated deformed energy eigenvalues and eigenfunctions. The deformation parameter b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2973","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1312.2973","created_at":"2026-05-18T02:55:58.700416+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.2973v2","created_at":"2026-05-18T02:55:58.700416+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2973","created_at":"2026-05-18T02:55:58.700416+00:00"},{"alias_kind":"pith_short_12","alias_value":"7PHT3CCWLE3J","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7PHT3CCWLE3JSPVJ","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7PHT3CCW","created_at":"2026-05-18T12:27:36.564083+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY","json":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY.json","graph_json":"https://pith.science/api/pith-number/7PHT3CCWLE3JSPVJSAARCYNCCY/graph.json","events_json":"https://pith.science/api/pith-number/7PHT3CCWLE3JSPVJSAARCYNCCY/events.json","paper":"https://pith.science/paper/7PHT3CCW"},"agent_actions":{"view_html":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY","download_json":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY.json","view_paper":"https://pith.science/paper/7PHT3CCW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.2973&json=true","fetch_graph":"https://pith.science/api/pith-number/7PHT3CCWLE3JSPVJSAARCYNCCY/graph.json","fetch_events":"https://pith.science/api/pith-number/7PHT3CCWLE3JSPVJSAARCYNCCY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY/action/storage_attestation","attest_author":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY/action/author_attestation","sign_citation":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY/action/citation_signature","submit_replication":"https://pith.science/pith/7PHT3CCWLE3JSPVJSAARCYNCCY/action/replication_record"}},"created_at":"2026-05-18T02:55:58.700416+00:00","updated_at":"2026-05-18T02:55:58.700416+00:00"}