{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OYFTLNYKOB6MBZYDNFQNEE2HOU","short_pith_number":"pith:OYFTLNYK","schema_version":"1.0","canonical_sha256":"760b35b70a707cc0e7036960d2134775149fd8efc32dab8d6ef1fc2a99a7eb98","source":{"kind":"arxiv","id":"1706.09979","version":1},"attestation_state":"computed","paper":{"title":"The Yukawa potential: ground state energy and critical screening","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.atom-ph","authors_text":"Axel Weber, Christian Schubert, James P. Edwards, Maria Anabel Trejo, Urs Gerber","submitted_at":"2017-06-29T23:51:02Z","abstract_excerpt":"We study the ground state energy and the critical screening parameter of the Yukawa potential in non-relativistic quantum mechanics. After a short review of the existing literature on these quantities, we apply fifth-order perturbation theory to the calculation of the ground state energy, using the exact solutions of the Coulomb potential together with a cutoff on the principal number summations. We also perform a variational calculation of the ground state energy using a Coulomb-like radial wave function and the exact solution of the corresponding minimization condition. For not too large val"},"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":"1706.09979","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2017-06-29T23:51:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5a0ba4933b0221b8de304996def894dbd32b690b4fe28d44de1657319b12fab4","abstract_canon_sha256":"41ba777da7ae20b8162138cfd8dc3d0fe0b2e44953ef226ae532f04757ba0949"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:11.792658Z","signature_b64":"rHZQbmZzKRKa4p7ZGS6QmU9X0md+xAwhcEbLjqb4OZzHL+eFgk5QSPg+RYDsKMG1S58WGGLZajDmJtFyCfPGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"760b35b70a707cc0e7036960d2134775149fd8efc32dab8d6ef1fc2a99a7eb98","last_reissued_at":"2026-05-18T00:41:11.792020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:11.792020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Yukawa potential: ground state energy and critical screening","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.atom-ph","authors_text":"Axel Weber, Christian Schubert, James P. Edwards, Maria Anabel Trejo, Urs Gerber","submitted_at":"2017-06-29T23:51:02Z","abstract_excerpt":"We study the ground state energy and the critical screening parameter of the Yukawa potential in non-relativistic quantum mechanics. After a short review of the existing literature on these quantities, we apply fifth-order perturbation theory to the calculation of the ground state energy, using the exact solutions of the Coulomb potential together with a cutoff on the principal number summations. We also perform a variational calculation of the ground state energy using a Coulomb-like radial wave function and the exact solution of the corresponding minimization condition. For not too large val"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09979","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":"1706.09979","created_at":"2026-05-18T00:41:11.792111+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.09979v1","created_at":"2026-05-18T00:41:11.792111+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09979","created_at":"2026-05-18T00:41:11.792111+00:00"},{"alias_kind":"pith_short_12","alias_value":"OYFTLNYKOB6M","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OYFTLNYKOB6MBZYD","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OYFTLNYK","created_at":"2026-05-18T12:31:34.259226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.05082","citing_title":"Worldline Images for Yang-Mills Theory within Boundaries","ref_index":43,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU","json":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU.json","graph_json":"https://pith.science/api/pith-number/OYFTLNYKOB6MBZYDNFQNEE2HOU/graph.json","events_json":"https://pith.science/api/pith-number/OYFTLNYKOB6MBZYDNFQNEE2HOU/events.json","paper":"https://pith.science/paper/OYFTLNYK"},"agent_actions":{"view_html":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU","download_json":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU.json","view_paper":"https://pith.science/paper/OYFTLNYK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.09979&json=true","fetch_graph":"https://pith.science/api/pith-number/OYFTLNYKOB6MBZYDNFQNEE2HOU/graph.json","fetch_events":"https://pith.science/api/pith-number/OYFTLNYKOB6MBZYDNFQNEE2HOU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU/action/storage_attestation","attest_author":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU/action/author_attestation","sign_citation":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU/action/citation_signature","submit_replication":"https://pith.science/pith/OYFTLNYKOB6MBZYDNFQNEE2HOU/action/replication_record"}},"created_at":"2026-05-18T00:41:11.792111+00:00","updated_at":"2026-05-18T00:41:11.792111+00:00"}