{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4N7G53UU6OBXHYIWDH4FDQLJAB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"74e81df7ac2dfae3bbb37d2f0f08d251e18a95adf1ff346afbd6260707a54584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-06T15:49:02Z","title_canon_sha256":"f7a1b3790e3a181a3396f319fc27aaf5ab6ff136e0de97be0f4b43d2f78d1719"},"schema_version":"1.0","source":{"id":"1512.01804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01804","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01804v1","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01804","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"pith_short_12","alias_value":"4N7G53UU6OBX","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4N7G53UU6OBXHYIW","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4N7G53UU","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:210a3f6a519043c88269303d9f5b60c34793b677dac28b56a439b559a5f3f8d9","target":"graph","created_at":"2026-05-18T01:25:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Just after the Dirac equation was established, a number of physicists tried to comment on and solve the spectral problem for the Dirac Hamiltonian with the Coulomb field of arbitrarily large charge $Z$, especially with $Z$ that is more than the critical value $Z_{\\mathrm{c}}=\\alpha^{-1}\\simeq137,04$, making sometimes contradictory conclusions and presenting doubtful solutions. It seems that there is no consesus on this problem up until now and especially on the way of using corresponding solutions of the Dirac equation in calculating physical processes. That is why in the present article, we t","authors_text":"A.D. Levin, B.L. Voronov, D.M. Gitman, R. Ferreira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-06T15:49:02Z","title":"Peculiarities of electron energy spectrum in Coulomb field of super heavy nucleus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01804","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6538b38ea53108f66732dfb45586db18a7e67368762f47f0936781827ededbc1","target":"record","created_at":"2026-05-18T01:25:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"74e81df7ac2dfae3bbb37d2f0f08d251e18a95adf1ff346afbd6260707a54584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-06T15:49:02Z","title_canon_sha256":"f7a1b3790e3a181a3396f319fc27aaf5ab6ff136e0de97be0f4b43d2f78d1719"},"schema_version":"1.0","source":{"id":"1512.01804","kind":"arxiv","version":1}},"canonical_sha256":"e37e6eee94f38373e11619f851c169006906a62ac66ec2a07cd341a0cb0809b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e37e6eee94f38373e11619f851c169006906a62ac66ec2a07cd341a0cb0809b9","first_computed_at":"2026-05-18T01:25:10.326133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:10.326133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n6uTv07rwN7swxgnX1fLn0QjdezhtRnkQ8GDUZpYO4lrg7pBaWGe9JrxyiFURwfLJR9RzcO+YKEKz7toT32pAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:10.326859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6538b38ea53108f66732dfb45586db18a7e67368762f47f0936781827ededbc1","sha256:210a3f6a519043c88269303d9f5b60c34793b677dac28b56a439b559a5f3f8d9"],"state_sha256":"b89093df7890bf9dd5dab2ff76fa17708eeef8293875293dcb8b3dde47b79ce1"}