{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YWRLFSL3MIYHVNOX6D3ZCU6KXT","short_pith_number":"pith:YWRLFSL3","schema_version":"1.0","canonical_sha256":"c5a2b2c97b62307ab5d7f0f79153cabcff6f73002584cb97e2bd8a2c845f41d3","source":{"kind":"arxiv","id":"1901.04971","version":1},"attestation_state":"computed","paper":{"title":"Near-the-origin divergence of Dirac wave functions of hydrogen and operator product expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th","physics.atom-ph"],"primary_cat":"hep-ph","authors_text":"Rui Yu, Yingsheng Huang, Yu Jia","submitted_at":"2019-01-15T18:45:59Z","abstract_excerpt":"There is a long-standing puzzle concerning the Coulomb solutions of the Dirac equation, i.e., what is the physics governing the weakly divergent near-the-origin behavior of the Dirac wave functions of the $nS_{1/2}$ hydrogen? As a sequel of our preceding work that aim to demystifying the universal near-the-origin behavior of the atomic Schr\\\"{o}dinger and Klein-Gordon wave functions, the goal of this work is to demonstrate that, within the nonrelativistic effective field theory (NREFT) tailored for Coulombic atoms, the universal logarithmic divergence of the Dirac wave functions can be account"},"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":"1901.04971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-01-15T18:45:59Z","cross_cats_sorted":["hep-th","nucl-th","physics.atom-ph"],"title_canon_sha256":"b2fd41e319cd7400abda4b1e658c5394bdf20fcc0048e2ec6d984aaadfc99c6d","abstract_canon_sha256":"c0b443bc6b0468cc18fcc45258ae31c1dded6e307a0b3dccde79d2f9f421a734"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:15.973757Z","signature_b64":"N7fKOzXZxJFpMFo/6wTg79RTSNj4Dy7LICkQV1uMYeUeuwG8Ui90qWk2NRUf/R1lWHh50noE9R9ylbkSZ0DXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5a2b2c97b62307ab5d7f0f79153cabcff6f73002584cb97e2bd8a2c845f41d3","last_reissued_at":"2026-05-17T23:56:15.973124Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:15.973124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Near-the-origin divergence of Dirac wave functions of hydrogen and operator product expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th","physics.atom-ph"],"primary_cat":"hep-ph","authors_text":"Rui Yu, Yingsheng Huang, Yu Jia","submitted_at":"2019-01-15T18:45:59Z","abstract_excerpt":"There is a long-standing puzzle concerning the Coulomb solutions of the Dirac equation, i.e., what is the physics governing the weakly divergent near-the-origin behavior of the Dirac wave functions of the $nS_{1/2}$ hydrogen? As a sequel of our preceding work that aim to demystifying the universal near-the-origin behavior of the atomic Schr\\\"{o}dinger and Klein-Gordon wave functions, the goal of this work is to demonstrate that, within the nonrelativistic effective field theory (NREFT) tailored for Coulombic atoms, the universal logarithmic divergence of the Dirac wave functions can be account"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04971","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":"1901.04971","created_at":"2026-05-17T23:56:15.973219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.04971v1","created_at":"2026-05-17T23:56:15.973219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04971","created_at":"2026-05-17T23:56:15.973219+00:00"},{"alias_kind":"pith_short_12","alias_value":"YWRLFSL3MIYH","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YWRLFSL3MIYHVNOX","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YWRLFSL3","created_at":"2026-05-18T12:33:33.725879+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/YWRLFSL3MIYHVNOX6D3ZCU6KXT","json":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT.json","graph_json":"https://pith.science/api/pith-number/YWRLFSL3MIYHVNOX6D3ZCU6KXT/graph.json","events_json":"https://pith.science/api/pith-number/YWRLFSL3MIYHVNOX6D3ZCU6KXT/events.json","paper":"https://pith.science/paper/YWRLFSL3"},"agent_actions":{"view_html":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT","download_json":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT.json","view_paper":"https://pith.science/paper/YWRLFSL3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.04971&json=true","fetch_graph":"https://pith.science/api/pith-number/YWRLFSL3MIYHVNOX6D3ZCU6KXT/graph.json","fetch_events":"https://pith.science/api/pith-number/YWRLFSL3MIYHVNOX6D3ZCU6KXT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT/action/storage_attestation","attest_author":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT/action/author_attestation","sign_citation":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT/action/citation_signature","submit_replication":"https://pith.science/pith/YWRLFSL3MIYHVNOX6D3ZCU6KXT/action/replication_record"}},"created_at":"2026-05-17T23:56:15.973219+00:00","updated_at":"2026-05-17T23:56:15.973219+00:00"}