{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:UOTWJ5JMD44JTFS7AKUQYP77XX","short_pith_number":"pith:UOTWJ5JM","schema_version":"1.0","canonical_sha256":"a3a764f52c1f3899965f02a90c3fffbdfb18b10f4d358e565aa98444faa7ec9a","source":{"kind":"arxiv","id":"1103.2435","version":2},"attestation_state":"computed","paper":{"title":"Non-Abelian quantum holonomy of hydrogen-like atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Carlo M. Canali, Erik Sj\\\"oqvist, Vahid Azimi Mousolou","submitted_at":"2011-03-12T10:33:46Z","abstract_excerpt":"We study the Uhlmann holonomy [Rep. Math. Phys. 24, 229 (1986)] of quantum states for hydrogen-like atoms where the intrinsic spin and orbital angular momentum are coupled by the spin-orbit interaction and subject to a slowly varying magnetic field. We show that the holonomy for the orbital angular momentum and spin subsystems is non-Abelian, while the holonomy of the whole system is Abelian. Quantum entanglement in the states of the whole system is crucially related to the non-Abelian gauge structure of the subsystems. We analyze the phase of the Wilson loop variable associated with the Uhlma"},"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":"1103.2435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-12T10:33:46Z","cross_cats_sorted":[],"title_canon_sha256":"ab717bc33755aec5f2087b1498c042399479371100782bf266b3e61962050bd3","abstract_canon_sha256":"a9a18ea243ba46d4b295d38e166b42695908bd11898f33ed2cce768b0bfd63f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:44.570275Z","signature_b64":"KXkzsgxYmdpV6O8aLQCMg3PYUAkSk1iHqs+LqpTh4bLwEbkCphOFp236x2xpFEFxUwbdi7TUyOR71hwZQvSuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a764f52c1f3899965f02a90c3fffbdfb18b10f4d358e565aa98444faa7ec9a","last_reissued_at":"2026-05-18T04:12:44.569699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:44.569699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Abelian quantum holonomy of hydrogen-like atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Carlo M. Canali, Erik Sj\\\"oqvist, Vahid Azimi Mousolou","submitted_at":"2011-03-12T10:33:46Z","abstract_excerpt":"We study the Uhlmann holonomy [Rep. Math. Phys. 24, 229 (1986)] of quantum states for hydrogen-like atoms where the intrinsic spin and orbital angular momentum are coupled by the spin-orbit interaction and subject to a slowly varying magnetic field. We show that the holonomy for the orbital angular momentum and spin subsystems is non-Abelian, while the holonomy of the whole system is Abelian. Quantum entanglement in the states of the whole system is crucially related to the non-Abelian gauge structure of the subsystems. We analyze the phase of the Wilson loop variable associated with the Uhlma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2435","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":"1103.2435","created_at":"2026-05-18T04:12:44.569788+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.2435v2","created_at":"2026-05-18T04:12:44.569788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2435","created_at":"2026-05-18T04:12:44.569788+00:00"},{"alias_kind":"pith_short_12","alias_value":"UOTWJ5JMD44J","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"UOTWJ5JMD44JTFS7","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"UOTWJ5JM","created_at":"2026-05-18T12:26:42.757692+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/UOTWJ5JMD44JTFS7AKUQYP77XX","json":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX.json","graph_json":"https://pith.science/api/pith-number/UOTWJ5JMD44JTFS7AKUQYP77XX/graph.json","events_json":"https://pith.science/api/pith-number/UOTWJ5JMD44JTFS7AKUQYP77XX/events.json","paper":"https://pith.science/paper/UOTWJ5JM"},"agent_actions":{"view_html":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX","download_json":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX.json","view_paper":"https://pith.science/paper/UOTWJ5JM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.2435&json=true","fetch_graph":"https://pith.science/api/pith-number/UOTWJ5JMD44JTFS7AKUQYP77XX/graph.json","fetch_events":"https://pith.science/api/pith-number/UOTWJ5JMD44JTFS7AKUQYP77XX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX/action/storage_attestation","attest_author":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX/action/author_attestation","sign_citation":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX/action/citation_signature","submit_replication":"https://pith.science/pith/UOTWJ5JMD44JTFS7AKUQYP77XX/action/replication_record"}},"created_at":"2026-05-18T04:12:44.569788+00:00","updated_at":"2026-05-18T04:12:44.569788+00:00"}