{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XZ3D7NI3LEXXBTR7KICBZC6GMH","short_pith_number":"pith:XZ3D7NI3","schema_version":"1.0","canonical_sha256":"be763fb51b592f70ce3f52041c8bc661c8f709ffec5bbfc8387811f320e487a1","source":{"kind":"arxiv","id":"1506.00911","version":2},"attestation_state":"computed","paper":{"title":"Spin-orbit coupling rule in bound fermions systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. Mutschler, D. Vretenar, E. Khan, J.-P. Ebran","submitted_at":"2015-06-02T15:06:17Z","abstract_excerpt":"Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, hypernuclei, quarkonia, etc., and is essential for understanding their spectroscopic properties. Depending on the system, the effect of spin-orbit coupling on shell structure is large in nuclei, small in quarkonia, perturbative in atoms. In the standard non-relativistic reduction of the single-particle Dirac equation, we derive a universal rule for the relative magnitude of the spin-orbit effect that applies to very different quantum systems, regardless of whether the spin-orbit coupling originates from the strong or elec"},"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":"1506.00911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2015-06-02T15:06:17Z","cross_cats_sorted":[],"title_canon_sha256":"86f14d0e85da15c2068fd5d5911b2f3f4f8d6f4df0d29b10c0dc37a3d9bdfa07","abstract_canon_sha256":"e00ae3c0aa9475225d6f5611f2170e72d9494aa4527de6f5675f2deafa794211"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:46.879202Z","signature_b64":"kBb+v2VhMlr44DZUgNfGQkIUzSvFeMvzx42ON0tbq/EUX8+7JbjK1EeONzZxi7XiyOP6T0IwsHeAkCaI/PXdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be763fb51b592f70ce3f52041c8bc661c8f709ffec5bbfc8387811f320e487a1","last_reissued_at":"2026-05-18T01:11:46.878875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:46.878875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-orbit coupling rule in bound fermions systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. Mutschler, D. Vretenar, E. Khan, J.-P. Ebran","submitted_at":"2015-06-02T15:06:17Z","abstract_excerpt":"Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, hypernuclei, quarkonia, etc., and is essential for understanding their spectroscopic properties. Depending on the system, the effect of spin-orbit coupling on shell structure is large in nuclei, small in quarkonia, perturbative in atoms. In the standard non-relativistic reduction of the single-particle Dirac equation, we derive a universal rule for the relative magnitude of the spin-orbit effect that applies to very different quantum systems, regardless of whether the spin-orbit coupling originates from the strong or elec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00911","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":"1506.00911","created_at":"2026-05-18T01:11:46.878928+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00911v2","created_at":"2026-05-18T01:11:46.878928+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00911","created_at":"2026-05-18T01:11:46.878928+00:00"},{"alias_kind":"pith_short_12","alias_value":"XZ3D7NI3LEXX","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XZ3D7NI3LEXXBTR7","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XZ3D7NI3","created_at":"2026-05-18T12:29:50.041715+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/XZ3D7NI3LEXXBTR7KICBZC6GMH","json":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH.json","graph_json":"https://pith.science/api/pith-number/XZ3D7NI3LEXXBTR7KICBZC6GMH/graph.json","events_json":"https://pith.science/api/pith-number/XZ3D7NI3LEXXBTR7KICBZC6GMH/events.json","paper":"https://pith.science/paper/XZ3D7NI3"},"agent_actions":{"view_html":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH","download_json":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH.json","view_paper":"https://pith.science/paper/XZ3D7NI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00911&json=true","fetch_graph":"https://pith.science/api/pith-number/XZ3D7NI3LEXXBTR7KICBZC6GMH/graph.json","fetch_events":"https://pith.science/api/pith-number/XZ3D7NI3LEXXBTR7KICBZC6GMH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH/action/storage_attestation","attest_author":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH/action/author_attestation","sign_citation":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH/action/citation_signature","submit_replication":"https://pith.science/pith/XZ3D7NI3LEXXBTR7KICBZC6GMH/action/replication_record"}},"created_at":"2026-05-18T01:11:46.878928+00:00","updated_at":"2026-05-18T01:11:46.878928+00:00"}