{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GYTDFEUK53XPTIYGVJREHIS5BH","short_pith_number":"pith:GYTDFEUK","schema_version":"1.0","canonical_sha256":"362632928aeeeef9a306aa6243a25d09e17b79570379b761c145374a9ee2a02f","source":{"kind":"arxiv","id":"1209.2941","version":2},"attestation_state":"computed","paper":{"title":"On the $\\star$-product quantization and the Duflo map in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Luigi Rosa, Patrizia Vitale","submitted_at":"2012-09-13T16:03:32Z","abstract_excerpt":"We analyze the star product induced on the algebra of functions on R^3 by a suitable reduction of the Moyal product defined on F(R^4). This is obtained through the identification of R^3 with the dual of a three dimensional Lie algebra.\n  We consider the su(2) case, exhibit a matrix basis and realize the algebra of functions on its dual in such a basis. The relation to the Duflo map is discussed. As an application to quantum mechanics we compute the spectrum of the hydrogen atom."},"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":"1209.2941","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-13T16:03:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2f47d90af82d82f125b5f2132b2cdbc3d6048aa8ac0b6801cf5887efc1766165","abstract_canon_sha256":"45b76c487430274b280de6636130eebe9ac041244ea92345cef0be37eb5dfe37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:55.971187Z","signature_b64":"QqNzKUHqfa70VNE8CjMJoSyO0XVA+t7z05+frT2PGzO2kmLigYi5hDATvN2op3Wl4Qrsz/5Nn7YHnJoUAZs7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"362632928aeeeef9a306aa6243a25d09e17b79570379b761c145374a9ee2a02f","last_reissued_at":"2026-05-18T03:41:55.970421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:55.970421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the $\\star$-product quantization and the Duflo map in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Luigi Rosa, Patrizia Vitale","submitted_at":"2012-09-13T16:03:32Z","abstract_excerpt":"We analyze the star product induced on the algebra of functions on R^3 by a suitable reduction of the Moyal product defined on F(R^4). This is obtained through the identification of R^3 with the dual of a three dimensional Lie algebra.\n  We consider the su(2) case, exhibit a matrix basis and realize the algebra of functions on its dual in such a basis. The relation to the Duflo map is discussed. As an application to quantum mechanics we compute the spectrum of the hydrogen atom."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2941","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":"1209.2941","created_at":"2026-05-18T03:41:55.970545+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.2941v2","created_at":"2026-05-18T03:41:55.970545+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2941","created_at":"2026-05-18T03:41:55.970545+00:00"},{"alias_kind":"pith_short_12","alias_value":"GYTDFEUK53XP","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GYTDFEUK53XPTIYG","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GYTDFEUK","created_at":"2026-05-18T12:27:06.952714+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/GYTDFEUK53XPTIYGVJREHIS5BH","json":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH.json","graph_json":"https://pith.science/api/pith-number/GYTDFEUK53XPTIYGVJREHIS5BH/graph.json","events_json":"https://pith.science/api/pith-number/GYTDFEUK53XPTIYGVJREHIS5BH/events.json","paper":"https://pith.science/paper/GYTDFEUK"},"agent_actions":{"view_html":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH","download_json":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH.json","view_paper":"https://pith.science/paper/GYTDFEUK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.2941&json=true","fetch_graph":"https://pith.science/api/pith-number/GYTDFEUK53XPTIYGVJREHIS5BH/graph.json","fetch_events":"https://pith.science/api/pith-number/GYTDFEUK53XPTIYGVJREHIS5BH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH/action/storage_attestation","attest_author":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH/action/author_attestation","sign_citation":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH/action/citation_signature","submit_replication":"https://pith.science/pith/GYTDFEUK53XPTIYGVJREHIS5BH/action/replication_record"}},"created_at":"2026-05-18T03:41:55.970545+00:00","updated_at":"2026-05-18T03:41:55.970545+00:00"}