{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LUSHAHB3TTOIEBPHXOZSGOPRSN","short_pith_number":"pith:LUSHAHB3","canonical_record":{"source":{"id":"2506.11988","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-13T17:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"1b6ac11a61b761ba27837aa71d4490afef1207324fe04c4cf3616da742777052","abstract_canon_sha256":"c1681517341619070a06ec79ceb9c74929e5e3d7c4e653a8a079a66c4abfbaf1"},"schema_version":"1.0"},"canonical_sha256":"5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9","source":{"kind":"arxiv","id":"2506.11988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.11988","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2506.11988v1","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11988","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"LUSHAHB3TTOI","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"LUSHAHB3TTOIEBPH","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"LUSHAHB3","created_at":"2026-07-05T11:21:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LUSHAHB3TTOIEBPHXOZSGOPRSN","target":"record","payload":{"canonical_record":{"source":{"id":"2506.11988","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-13T17:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"1b6ac11a61b761ba27837aa71d4490afef1207324fe04c4cf3616da742777052","abstract_canon_sha256":"c1681517341619070a06ec79ceb9c74929e5e3d7c4e653a8a079a66c4abfbaf1"},"schema_version":"1.0"},"canonical_sha256":"5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:21:13.952376Z","signature_b64":"vG3FBBR6X78MLRP4wgFasS+olgD9TLkXkgCUfD3pSMIVB9nS3eFigNW98ftB1rpTdWESjBO8b8iA5rM37g8nDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9","last_reissued_at":"2026-07-05T11:21:13.951959Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:21:13.951959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.11988","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6auHJOAlrDBzv+Gt4eBx9/HnTJlX75Ot/e9WiDrEK+2HV72M6pKPbw2TOvPjAhpyI0bfJAWJRTFZfKoK8+VPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:52:31.746949Z"},"content_sha256":"3d311a1065888073065a16c80c86fa4881bb3dfc3bcc74b65fd2b2e26832f062","schema_version":"1.0","event_id":"sha256:3d311a1065888073065a16c80c86fa4881bb3dfc3bcc74b65fd2b2e26832f062"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LUSHAHB3TTOIEBPHXOZSGOPRSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sturmian basis set for the Dirac equation with finite nuclear size: Application to polarizability, Zeeman and hyperfine splitting, and vacuum polarization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"A. V. Volotka, D. A. Glazov, V. K. Ivanov","submitted_at":"2025-06-13T17:46:10Z","abstract_excerpt":"We investigate the application of the Sturmian basis set in relativistic atomic structure calculations. We propose a simple implementation of this approach and demonstrate its ability to provide various quantities for hydrogen-like ions, including binding energies, static dipole polarizability, $g$ factor, hyperfine splitting, and nuclear magnetic shielding. Finally, we calculate the all-order (Wichmann-Kroll) vacuum polarization charge density, which was a challenge for the finite-basis-set approach until recently. Comparison of the obtained results with the previously published numerical and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11988","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.11988/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bPBK4pqn4wGUKKWT85TRsVd/lyHiNEWvTHBBOGGRx6T6eVnndCDuGHLci/f+X8ukGcD1UPdUO1R+Pmh5OOxXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:52:31.747846Z"},"content_sha256":"f8da37a6fd8c66d9730be6275e770d6e0b613af22d07f0ff529eefe91ecb92a7","schema_version":"1.0","event_id":"sha256:f8da37a6fd8c66d9730be6275e770d6e0b613af22d07f0ff529eefe91ecb92a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/bundle.json","state_url":"https://pith.science/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T12:52:31Z","links":{"resolver":"https://pith.science/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN","bundle":"https://pith.science/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/bundle.json","state":"https://pith.science/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUSHAHB3TTOIEBPHXOZSGOPRSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LUSHAHB3TTOIEBPHXOZSGOPRSN","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":"c1681517341619070a06ec79ceb9c74929e5e3d7c4e653a8a079a66c4abfbaf1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-13T17:46:10Z","title_canon_sha256":"1b6ac11a61b761ba27837aa71d4490afef1207324fe04c4cf3616da742777052"},"schema_version":"1.0","source":{"id":"2506.11988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.11988","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2506.11988v1","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11988","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"LUSHAHB3TTOI","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"LUSHAHB3TTOIEBPH","created_at":"2026-07-05T11:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"LUSHAHB3","created_at":"2026-07-05T11:21:13Z"}],"graph_snapshots":[{"event_id":"sha256:f8da37a6fd8c66d9730be6275e770d6e0b613af22d07f0ff529eefe91ecb92a7","target":"graph","created_at":"2026-07-05T11:21:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.11988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the application of the Sturmian basis set in relativistic atomic structure calculations. We propose a simple implementation of this approach and demonstrate its ability to provide various quantities for hydrogen-like ions, including binding energies, static dipole polarizability, $g$ factor, hyperfine splitting, and nuclear magnetic shielding. Finally, we calculate the all-order (Wichmann-Kroll) vacuum polarization charge density, which was a challenge for the finite-basis-set approach until recently. Comparison of the obtained results with the previously published numerical and","authors_text":"A. V. Volotka, D. A. Glazov, V. K. Ivanov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-13T17:46:10Z","title":"Sturmian basis set for the Dirac equation with finite nuclear size: Application to polarizability, Zeeman and hyperfine splitting, and vacuum polarization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11988","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":"sha256:3d311a1065888073065a16c80c86fa4881bb3dfc3bcc74b65fd2b2e26832f062","target":"record","created_at":"2026-07-05T11:21:13Z","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":"c1681517341619070a06ec79ceb9c74929e5e3d7c4e653a8a079a66c4abfbaf1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-13T17:46:10Z","title_canon_sha256":"1b6ac11a61b761ba27837aa71d4490afef1207324fe04c4cf3616da742777052"},"schema_version":"1.0","source":{"id":"2506.11988","kind":"arxiv","version":1}},"canonical_sha256":"5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9","first_computed_at":"2026-07-05T11:21:13.951959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:21:13.951959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vG3FBBR6X78MLRP4wgFasS+olgD9TLkXkgCUfD3pSMIVB9nS3eFigNW98ftB1rpTdWESjBO8b8iA5rM37g8nDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:21:13.952376Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.11988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d311a1065888073065a16c80c86fa4881bb3dfc3bcc74b65fd2b2e26832f062","sha256:f8da37a6fd8c66d9730be6275e770d6e0b613af22d07f0ff529eefe91ecb92a7"],"state_sha256":"bd3a7ab58732fab09940482ab2ca13412016a31ca172a393153fd8fdf571b6a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7/zJOrIMyM2jVxMPaoadL3i7pKsumOaqbIgCT5iI5qvWS3NSChpW0awYbE21irhy3krUps0g2wqCQUFi0rTJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:52:31.752454Z","bundle_sha256":"4389857f55ff65c602179ee7c342665e6110b40851ace3b8439320ace572cde6"}}