{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7FMTL3LIMW5BGMLA754EL3RZAV","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":"bf607853e0c7164c166401d1c7456572c51722aff1f916285a76207e722be12c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T15:41:16Z","title_canon_sha256":"a7979919730993d011f486380c76cff8d62cb65bc94b02ebb4ee2e4582a0ae32"},"schema_version":"1.0","source":{"id":"1409.5703","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5703","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5703v3","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5703","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"7FMTL3LIMW5B","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7FMTL3LIMW5BGMLA","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7FMTL3LI","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:0e9fea42b38806de8c177199a544d5d7f49e88090d853f2e2ad15d4130446a8e","target":"graph","created_at":"2026-05-18T02:41:01Z","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 with the Singular Even-Power and Inverse-Power Potentials in non-commutative complex space, using the Power-series expansion method. Hence we can say that the Schr\\\"odinger equation in non-commutative 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":"Abdelkader Bahache, Slimane Zaim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T15:41:16Z","title":"2D Schr\\\"odinger Equation with Singular Even-Power and Inverse-Power Potentials in Non Commutative Complex space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5703","kind":"arxiv","version":3},"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:cf61fc8c363240ffacebe2905673229d8cb717a7f77391280811220882a67ae2","target":"record","created_at":"2026-05-18T02:41:01Z","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":"bf607853e0c7164c166401d1c7456572c51722aff1f916285a76207e722be12c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T15:41:16Z","title_canon_sha256":"a7979919730993d011f486380c76cff8d62cb65bc94b02ebb4ee2e4582a0ae32"},"schema_version":"1.0","source":{"id":"1409.5703","kind":"arxiv","version":3}},"canonical_sha256":"f95935ed6865ba133160ff7845ee390562c9669063a6be81ce2298fa63a5077d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f95935ed6865ba133160ff7845ee390562c9669063a6be81ce2298fa63a5077d","first_computed_at":"2026-05-18T02:41:01.641571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:01.641571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jsuxw0c2rG1HvA8rGMMo0lHzxUU7g0xsW4hvC5eTCN2uM+/U1MqTtk5hBrCBcvkgjzGumgvltWvOMOk1xfhcCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:01.642120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5703","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf61fc8c363240ffacebe2905673229d8cb717a7f77391280811220882a67ae2","sha256:0e9fea42b38806de8c177199a544d5d7f49e88090d853f2e2ad15d4130446a8e"],"state_sha256":"d88a4646d2ccd7f3147214d5ec0016a2a67ceafffcc2da1933522fa1b6522894"}