{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J2PH2BXIHRXU6IXCA27LFZTSOZ","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":"010f61923ba26886c7653f14681a5e73e0be74b5cde7f33a8bafb62451888b5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-01T22:19:57Z","title_canon_sha256":"54ffad7c92211436093cc07118af3831b4953464234f046ba3f1adfba3347745"},"schema_version":"1.0","source":{"id":"1410.0399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0399","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0399v2","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0399","created_at":"2026-05-18T01:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"J2PH2BXIHRXU","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J2PH2BXIHRXU6IXC","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J2PH2BXI","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:0cc3660baf330af49616b91d214648d1963475d025993618eea4d3081b4a4f21","target":"graph","created_at":"2026-05-18T01:19:42Z","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":"We obtain exact solutions of the 2D Schr\\\"odinger equation for Hydrogen atom with the lenear and Harmonic Potentials in noncommutative complex space, using the Power-series expansion method. Hence we can say that the Schr\\\"odinger equation in noncommutative complex space describes to the particles with spin (1/2)in an external uniform magnitic field. Where the noncommutativity play the role of magnetic field with created the total magnetic moment of particle with spin 1/2, who in turn shifted the spectrum of energy. Such effects are similar to the Zeeman splitting in a commutative space.","authors_text":"Hakim Guelmamene, Slimane Zaim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-01T22:19:57Z","title":"2D Schr\\\"odinger Equation with Mixed Potential in Noncommutaive Complex space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0399","kind":"arxiv","version":2},"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":"sha256:7f5a9605a7e91e5d92acd96b4f425087c44e1c3b4b7355b51918f5fbbb7bd622","target":"record","created_at":"2026-05-18T01:19:42Z","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":"010f61923ba26886c7653f14681a5e73e0be74b5cde7f33a8bafb62451888b5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-01T22:19:57Z","title_canon_sha256":"54ffad7c92211436093cc07118af3831b4953464234f046ba3f1adfba3347745"},"schema_version":"1.0","source":{"id":"1410.0399","kind":"arxiv","version":2}},"canonical_sha256":"4e9e7d06e83c6f4f22e206beb2e6727669ec41a9781a964831245eb4e6a9352d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e9e7d06e83c6f4f22e206beb2e6727669ec41a9781a964831245eb4e6a9352d","first_computed_at":"2026-05-18T01:19:42.526379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:42.526379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EoP3PF+LDOUzJOMsVHDgN3b7pt2P6ASk2aXx1RaG+kerE9My0wTcKJ2/Y/HvXbc6+LEYuJbohLC9I9uEXSNsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:42.526990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f5a9605a7e91e5d92acd96b4f425087c44e1c3b4b7355b51918f5fbbb7bd622","sha256:0cc3660baf330af49616b91d214648d1963475d025993618eea4d3081b4a4f21"],"state_sha256":"b13901576105b13176522ce2d6d7fcccbd5a857e1a679854124052ce03523a84"}