{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PSRYYTNZKHCJAQ24HQCXZ5UN7O","short_pith_number":"pith:PSRYYTNZ","schema_version":"1.0","canonical_sha256":"7ca38c4db951c490435c3c057cf68dfb94edd6af9fa5d090dd1947ac74ff2ace","source":{"kind":"arxiv","id":"1205.6883","version":1},"attestation_state":"computed","paper":{"title":"Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogen-like ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.atom-ph","authors_text":"J. Mitroy, Jun Jiang, Li-Yan Tang, Xian-Zhou Zhang, Yong-Hui Zhang","submitted_at":"2012-05-31T04:11:22Z","abstract_excerpt":"High precision multipole polarizabilities, $\\alpha_{\\ell}$ for $\\ell \\le 4$ of the $1s$ ground state of the hydrogen isoelectronic series are obtained from the Dirac equation using the B-spline method with Notre Dame boundary conditions. Compact analytic expressions for the polarizabilities as a function of $Z$ with a relative accuracy of 10$^{-6}$ up to $Z = 100$ are determined by fitting to the calculated polarizabilities. The oscillator strengths satisfy the sum rules $\\sum_i f^{(\\ell)}_{0i} = 0$ for all multipoles from $\\ell = 1$ to $\\ell = 4$. The dispersion coefficients for the long-rang"},"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":"1205.6883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-05-31T04:11:22Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"61fe95a5cfc0827e59937a1de3168bbef03faaa3f6e32312876000b7ac8e72fa","abstract_canon_sha256":"9ad85050b5feac66379082dab5cfdff8c86984ae4032aedf840c503fdc9e4248"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:09.602883Z","signature_b64":"MVnKoxe5z6NpUliaXWcLvycD0UXKNBvSVrMulu5FaaNSAdVzMP+9i3FQcDBvBfE1p/9FcWcRxA4jcqytxcUjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ca38c4db951c490435c3c057cf68dfb94edd6af9fa5d090dd1947ac74ff2ace","last_reissued_at":"2026-05-18T01:57:09.602362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:09.602362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogen-like ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.atom-ph","authors_text":"J. Mitroy, Jun Jiang, Li-Yan Tang, Xian-Zhou Zhang, Yong-Hui Zhang","submitted_at":"2012-05-31T04:11:22Z","abstract_excerpt":"High precision multipole polarizabilities, $\\alpha_{\\ell}$ for $\\ell \\le 4$ of the $1s$ ground state of the hydrogen isoelectronic series are obtained from the Dirac equation using the B-spline method with Notre Dame boundary conditions. Compact analytic expressions for the polarizabilities as a function of $Z$ with a relative accuracy of 10$^{-6}$ up to $Z = 100$ are determined by fitting to the calculated polarizabilities. The oscillator strengths satisfy the sum rules $\\sum_i f^{(\\ell)}_{0i} = 0$ for all multipoles from $\\ell = 1$ to $\\ell = 4$. The dispersion coefficients for the long-rang"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6883","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":""},"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":"1205.6883","created_at":"2026-05-18T01:57:09.602452+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.6883v1","created_at":"2026-05-18T01:57:09.602452+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6883","created_at":"2026-05-18T01:57:09.602452+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSRYYTNZKHCJ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSRYYTNZKHCJAQ24","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSRYYTNZ","created_at":"2026-05-18T12:27:18.751474+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/PSRYYTNZKHCJAQ24HQCXZ5UN7O","json":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O.json","graph_json":"https://pith.science/api/pith-number/PSRYYTNZKHCJAQ24HQCXZ5UN7O/graph.json","events_json":"https://pith.science/api/pith-number/PSRYYTNZKHCJAQ24HQCXZ5UN7O/events.json","paper":"https://pith.science/paper/PSRYYTNZ"},"agent_actions":{"view_html":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O","download_json":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O.json","view_paper":"https://pith.science/paper/PSRYYTNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.6883&json=true","fetch_graph":"https://pith.science/api/pith-number/PSRYYTNZKHCJAQ24HQCXZ5UN7O/graph.json","fetch_events":"https://pith.science/api/pith-number/PSRYYTNZKHCJAQ24HQCXZ5UN7O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O/action/storage_attestation","attest_author":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O/action/author_attestation","sign_citation":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O/action/citation_signature","submit_replication":"https://pith.science/pith/PSRYYTNZKHCJAQ24HQCXZ5UN7O/action/replication_record"}},"created_at":"2026-05-18T01:57:09.602452+00:00","updated_at":"2026-05-18T01:57:09.602452+00:00"}