{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SQWT6UEN6RHBHATVDGO3N3JV4K","short_pith_number":"pith:SQWT6UEN","schema_version":"1.0","canonical_sha256":"942d3f508df44e138275199db6ed35e2b0fea60a6fc6490044b06b35507d31c8","source":{"kind":"arxiv","id":"1609.09417","version":1},"attestation_state":"computed","paper":{"title":"Supercritical instability of Dirac electrons in the field of two oppositely charged nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"O. O. Sobol","submitted_at":"2016-09-29T16:36:43Z","abstract_excerpt":"The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear size. It is shown that if the dipole momentum reaches a certain critical value, the novel type of supercriticality occurs; namely, the wave function of the highest occupied electron bound state changes its localization from the negatively charged nucleus to the positively charged one. This phenomenon can be interpreted as a spontaneous creati"},"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":"1609.09417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-29T16:36:43Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"9cd847455aaeb38c4cb19d72920dc8335ca3971947633d33372c1c1cac7cba6e","abstract_canon_sha256":"99e74b613b8acb11a0eb5da2b2e5acc89cb47c9efebc36d6ed97d8f2c8d7c960"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:28.962011Z","signature_b64":"aZUW91Ck7JS7Ia7ryptuz3TbDXKURGKtpzXdeowfMszXZav+4bSSv9FB96nvR9CJ+Mwtw+VJs+537iukLFX4DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"942d3f508df44e138275199db6ed35e2b0fea60a6fc6490044b06b35507d31c8","last_reissued_at":"2026-05-18T00:39:28.961381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:28.961381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supercritical instability of Dirac electrons in the field of two oppositely charged nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"O. O. Sobol","submitted_at":"2016-09-29T16:36:43Z","abstract_excerpt":"The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear size. It is shown that if the dipole momentum reaches a certain critical value, the novel type of supercriticality occurs; namely, the wave function of the highest occupied electron bound state changes its localization from the negatively charged nucleus to the positively charged one. This phenomenon can be interpreted as a spontaneous creati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09417","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":"1609.09417","created_at":"2026-05-18T00:39:28.961454+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.09417v1","created_at":"2026-05-18T00:39:28.961454+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09417","created_at":"2026-05-18T00:39:28.961454+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQWT6UEN6RHB","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQWT6UEN6RHBHATV","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQWT6UEN","created_at":"2026-05-18T12:30:44.179134+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/SQWT6UEN6RHBHATVDGO3N3JV4K","json":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K.json","graph_json":"https://pith.science/api/pith-number/SQWT6UEN6RHBHATVDGO3N3JV4K/graph.json","events_json":"https://pith.science/api/pith-number/SQWT6UEN6RHBHATVDGO3N3JV4K/events.json","paper":"https://pith.science/paper/SQWT6UEN"},"agent_actions":{"view_html":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K","download_json":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K.json","view_paper":"https://pith.science/paper/SQWT6UEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.09417&json=true","fetch_graph":"https://pith.science/api/pith-number/SQWT6UEN6RHBHATVDGO3N3JV4K/graph.json","fetch_events":"https://pith.science/api/pith-number/SQWT6UEN6RHBHATVDGO3N3JV4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K/action/storage_attestation","attest_author":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K/action/author_attestation","sign_citation":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K/action/citation_signature","submit_replication":"https://pith.science/pith/SQWT6UEN6RHBHATVDGO3N3JV4K/action/replication_record"}},"created_at":"2026-05-18T00:39:28.961454+00:00","updated_at":"2026-05-18T00:39:28.961454+00:00"}