{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:GU3OO2PICXOETZTPKBEFGMMJUG","short_pith_number":"pith:GU3OO2PI","schema_version":"1.0","canonical_sha256":"3536e769e815dc49e66f5048533189a199c21b9bf74706fe8a4eea9a8c8db636","source":{"kind":"arxiv","id":"2105.07267","version":1},"attestation_state":"computed","paper":{"title":"Neutron--proton spin--spin correlations in the ground states of N=Z nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. O. Macchiavelli, P. Van Isacker","submitted_at":"2021-05-15T17:18:31Z","abstract_excerpt":"We present expressions for the matrix elements of the spin--spin operator $\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}$ in a variety of coupling schemes. These results are then applied to calculate the expectation value $\\langle\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}\\rangle$ in eigenstates of a schematic Hamiltonian describing neutrons and protons interacting in a single-$l$ shell through a Surface Delta Interaction. The model allows us to trace $\\langle\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}\\rangle$ as a function of the competition between the isovector and isoscalar interaction strengths and the spin--orbit split"},"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":"2105.07267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2021-05-15T17:18:31Z","cross_cats_sorted":[],"title_canon_sha256":"78294de5d7cf35dcca6cb4af2713b9ee4590ff67957353cd2ceb5e110c9366cb","abstract_canon_sha256":"62998b7d2d9985cff2fecfd976a5b92ad098f632b9629eae2de14885f930f0e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:49:30.590982Z","signature_b64":"Q5KORu9dxy4QDEZych0FmPc+BkQmIZY5rvT6bS3FAT63UTSwTi9wS3PYmP17TPa4toP1xQGECpH96VHrGjWAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3536e769e815dc49e66f5048533189a199c21b9bf74706fe8a4eea9a8c8db636","last_reissued_at":"2026-07-05T02:49:30.590484Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:49:30.590484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neutron--proton spin--spin correlations in the ground states of N=Z nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. O. Macchiavelli, P. Van Isacker","submitted_at":"2021-05-15T17:18:31Z","abstract_excerpt":"We present expressions for the matrix elements of the spin--spin operator $\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}$ in a variety of coupling schemes. These results are then applied to calculate the expectation value $\\langle\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}\\rangle$ in eigenstates of a schematic Hamiltonian describing neutrons and protons interacting in a single-$l$ shell through a Surface Delta Interaction. The model allows us to trace $\\langle\\vec S_{\\rm n}\\cdot\\vec S_{\\rm p}\\rangle$ as a function of the competition between the isovector and isoscalar interaction strengths and the spin--orbit split"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.07267","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.07267/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2105.07267","created_at":"2026-07-05T02:49:30.590539+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.07267v1","created_at":"2026-07-05T02:49:30.590539+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.07267","created_at":"2026-07-05T02:49:30.590539+00:00"},{"alias_kind":"pith_short_12","alias_value":"GU3OO2PICXOE","created_at":"2026-07-05T02:49:30.590539+00:00"},{"alias_kind":"pith_short_16","alias_value":"GU3OO2PICXOETZTP","created_at":"2026-07-05T02:49:30.590539+00:00"},{"alias_kind":"pith_short_8","alias_value":"GU3OO2PI","created_at":"2026-07-05T02:49:30.590539+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/GU3OO2PICXOETZTPKBEFGMMJUG","json":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG.json","graph_json":"https://pith.science/api/pith-number/GU3OO2PICXOETZTPKBEFGMMJUG/graph.json","events_json":"https://pith.science/api/pith-number/GU3OO2PICXOETZTPKBEFGMMJUG/events.json","paper":"https://pith.science/paper/GU3OO2PI"},"agent_actions":{"view_html":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG","download_json":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG.json","view_paper":"https://pith.science/paper/GU3OO2PI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.07267&json=true","fetch_graph":"https://pith.science/api/pith-number/GU3OO2PICXOETZTPKBEFGMMJUG/graph.json","fetch_events":"https://pith.science/api/pith-number/GU3OO2PICXOETZTPKBEFGMMJUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG/action/storage_attestation","attest_author":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG/action/author_attestation","sign_citation":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG/action/citation_signature","submit_replication":"https://pith.science/pith/GU3OO2PICXOETZTPKBEFGMMJUG/action/replication_record"}},"created_at":"2026-07-05T02:49:30.590539+00:00","updated_at":"2026-07-05T02:49:30.590539+00:00"}