{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:DJWCYK5KRLNBPTOWYFJ5IOURC6","short_pith_number":"pith:DJWCYK5K","schema_version":"1.0","canonical_sha256":"1a6c2c2baa8ada17cdd6c153d43a9117a81a425cdec8001fd971d0617c1c19b2","source":{"kind":"arxiv","id":"1008.1325","version":1},"attestation_state":"computed","paper":{"title":"Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dine Ousmane Samary, Mahouton Norbert Hounkonnou","submitted_at":"2010-08-07T11:52:09Z","abstract_excerpt":"The paper reports on a study of a harmonic oscillator (ho) in the twisted Moyal space, in a well defined matrix basis, generated by the vector fields $X_{a}=e_{a}^{\\mu}(x)\\partial_{\\mu}=(\\delta_{a}^{\\mu}+\\omega_{ab}^{\\mu}x^{b})\\partial_{\\mu}$, which induce a dynamical star product. The usual multiplication law can be hence reproduced in the $\\omega_{ab}^{\\mu}$ null limit. The star actions of creation and annihilation functions are explicitly computed. The ho states are infinitely degenerate with energies depending on the coordinate functions."},"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":"1008.1325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-07T11:52:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"003f1d0d991497f94e230ca6beae340f24b4c49e4887cfd6a22fda4734ca3011","abstract_canon_sha256":"d1c4af99bf4621af8aa6f4c62ffebb1edbf5665d16ec8a161fee4705756ac897"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:58.105587Z","signature_b64":"vqWacO9DR3R3BYzuCHlnHF0yHCQIp1fGSs6Hx07NeDJyMPi+FrbZVIFL2ZPBKgnFHHVWuNiqzeZv24UbJMSZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a6c2c2baa8ada17cdd6c153d43a9117a81a425cdec8001fd971d0617c1c19b2","last_reissued_at":"2026-05-18T02:05:58.104856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:58.104856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dine Ousmane Samary, Mahouton Norbert Hounkonnou","submitted_at":"2010-08-07T11:52:09Z","abstract_excerpt":"The paper reports on a study of a harmonic oscillator (ho) in the twisted Moyal space, in a well defined matrix basis, generated by the vector fields $X_{a}=e_{a}^{\\mu}(x)\\partial_{\\mu}=(\\delta_{a}^{\\mu}+\\omega_{ab}^{\\mu}x^{b})\\partial_{\\mu}$, which induce a dynamical star product. The usual multiplication law can be hence reproduced in the $\\omega_{ab}^{\\mu}$ null limit. The star actions of creation and annihilation functions are explicitly computed. The ho states are infinitely degenerate with energies depending on the coordinate functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1325","kind":"arxiv","version":1},"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":"1008.1325","created_at":"2026-05-18T02:05:58.104978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.1325v1","created_at":"2026-05-18T02:05:58.104978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1325","created_at":"2026-05-18T02:05:58.104978+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJWCYK5KRLNB","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJWCYK5KRLNBPTOW","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJWCYK5K","created_at":"2026-05-18T12:26:06.534383+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/DJWCYK5KRLNBPTOWYFJ5IOURC6","json":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6.json","graph_json":"https://pith.science/api/pith-number/DJWCYK5KRLNBPTOWYFJ5IOURC6/graph.json","events_json":"https://pith.science/api/pith-number/DJWCYK5KRLNBPTOWYFJ5IOURC6/events.json","paper":"https://pith.science/paper/DJWCYK5K"},"agent_actions":{"view_html":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6","download_json":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6.json","view_paper":"https://pith.science/paper/DJWCYK5K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.1325&json=true","fetch_graph":"https://pith.science/api/pith-number/DJWCYK5KRLNBPTOWYFJ5IOURC6/graph.json","fetch_events":"https://pith.science/api/pith-number/DJWCYK5KRLNBPTOWYFJ5IOURC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6/action/storage_attestation","attest_author":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6/action/author_attestation","sign_citation":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6/action/citation_signature","submit_replication":"https://pith.science/pith/DJWCYK5KRLNBPTOWYFJ5IOURC6/action/replication_record"}},"created_at":"2026-05-18T02:05:58.104978+00:00","updated_at":"2026-05-18T02:05:58.104978+00:00"}