{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:OC3METUM26GAJN4GNJYSMZBJB2","short_pith_number":"pith:OC3METUM","schema_version":"1.0","canonical_sha256":"70b6c24e8cd78c04b7866a712664290e8f3cfb67d67711a23ada05c6e497cdce","source":{"kind":"arxiv","id":"1005.2609","version":2},"attestation_state":"computed","paper":{"title":"The 1/N Expansion in Noncommutative Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"A. F. Ferrari, C. A. Stechhahn, M. Gomes","submitted_at":"2010-05-14T19:05:37Z","abstract_excerpt":"We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian potentials. The expansion for the anharmonic oscillator presented good convergence properties, but for the Coulombian potential, we found a divergent large N expansion when using the usual noncommutative generalization of the potential. We proposed a modified version of the noncommutative Coulombian potential which provides a well-behaved 1/N expansion."},"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":"1005.2609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-14T19:05:37Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"c8244270fd999a9c109e93fda0a68a7e75165d8d42402618a9973dae364cc8b7","abstract_canon_sha256":"2af36098e1f9b5c92f214e9b389a0b39e58cd773470a21036c0388dd56e05408"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:06.907281Z","signature_b64":"8xOxnzmP5aXH4tFpu6OxchBnQIM8qisdxCvSi/1juC7iCZd4EA4qdWxzihCZdIrAZeAsBcrrmUVEbVP7sSIVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70b6c24e8cd78c04b7866a712664290e8f3cfb67d67711a23ada05c6e497cdce","last_reissued_at":"2026-05-18T02:24:06.906601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:06.906601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The 1/N Expansion in Noncommutative Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"A. F. Ferrari, C. A. Stechhahn, M. Gomes","submitted_at":"2010-05-14T19:05:37Z","abstract_excerpt":"We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian potentials. The expansion for the anharmonic oscillator presented good convergence properties, but for the Coulombian potential, we found a divergent large N expansion when using the usual noncommutative generalization of the potential. We proposed a modified version of the noncommutative Coulombian potential which provides a well-behaved 1/N expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2609","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":"1005.2609","created_at":"2026-05-18T02:24:06.906701+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.2609v2","created_at":"2026-05-18T02:24:06.906701+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2609","created_at":"2026-05-18T02:24:06.906701+00:00"},{"alias_kind":"pith_short_12","alias_value":"OC3METUM26GA","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"OC3METUM26GAJN4G","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"OC3METUM","created_at":"2026-05-18T12:26:12.377268+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/OC3METUM26GAJN4GNJYSMZBJB2","json":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2.json","graph_json":"https://pith.science/api/pith-number/OC3METUM26GAJN4GNJYSMZBJB2/graph.json","events_json":"https://pith.science/api/pith-number/OC3METUM26GAJN4GNJYSMZBJB2/events.json","paper":"https://pith.science/paper/OC3METUM"},"agent_actions":{"view_html":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2","download_json":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2.json","view_paper":"https://pith.science/paper/OC3METUM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.2609&json=true","fetch_graph":"https://pith.science/api/pith-number/OC3METUM26GAJN4GNJYSMZBJB2/graph.json","fetch_events":"https://pith.science/api/pith-number/OC3METUM26GAJN4GNJYSMZBJB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2/action/storage_attestation","attest_author":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2/action/author_attestation","sign_citation":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2/action/citation_signature","submit_replication":"https://pith.science/pith/OC3METUM26GAJN4GNJYSMZBJB2/action/replication_record"}},"created_at":"2026-05-18T02:24:06.906701+00:00","updated_at":"2026-05-18T02:24:06.906701+00:00"}