{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JEC2A2NLURE6ZQZ5ZHXS5BSQ3F","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":"4c7f47b350b1ea79ca1e94825d64241666fe251791205fb3083dd7b82ba92aee","cross_cats_sorted":["physics.atom-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T08:43:30Z","title_canon_sha256":"6aef79bfad76c008de7ea2f8d6ad8f2a7bbe065a2a211a0bf180e0d1b4a85285"},"schema_version":"1.0","source":{"id":"1306.0702","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0702","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0702v1","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0702","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"JEC2A2NLURE6","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JEC2A2NLURE6ZQZ5","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JEC2A2NL","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:b0cc3d4b153979071719fa366361370e339d3daea0c33947e9ee3a0557693de4","target":"graph","created_at":"2026-05-18T03:21:54Z","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":"Computational methods are indispensable to study the quantum dynamics of relativistic light-matter interactions in parameter regimes where analytical methods become inapplicable. We present numerical methods for solving the time-dependent Dirac equation and the time-dependent Klein-Gordon equation and their implementation on high performance graphics cards. These methods allow us to study tunneling from hydrogen-like highly charged ions in strong laser fields and Kapitza-Dirac scattering in the relativistic regime.","authors_text":"Carsten M\\\"uller, Christoph H. Keitel, Enderalp Yakaboylu, Heiko Bauke, Karen Z. Hatsagortsyan, Michael Klaiber, Sven Ahrens","cross_cats":["physics.atom-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T08:43:30Z","title":"Computational relativistic quantum dynamics and its application to relativistic tunneling and Kapitza-Dirac scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0702","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":"sha256:85d51a408218624930f6d0d2ce28720c155937a35387924502ee1fc9b5e3153d","target":"record","created_at":"2026-05-18T03:21:54Z","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":"4c7f47b350b1ea79ca1e94825d64241666fe251791205fb3083dd7b82ba92aee","cross_cats_sorted":["physics.atom-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T08:43:30Z","title_canon_sha256":"6aef79bfad76c008de7ea2f8d6ad8f2a7bbe065a2a211a0bf180e0d1b4a85285"},"schema_version":"1.0","source":{"id":"1306.0702","kind":"arxiv","version":1}},"canonical_sha256":"4905a069aba449ecc33dc9ef2e8650d94d77d89d4338235450ad7e9644806b7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4905a069aba449ecc33dc9ef2e8650d94d77d89d4338235450ad7e9644806b7d","first_computed_at":"2026-05-18T03:21:54.302729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:54.302729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W6uNHnRclKL9mNjwKB1paC9ESEfjHgm0KPYhUJhzRka2axPn1D3Fq9Ka7AGz5ZewdL+/i7echhY3AQ3y5jvbBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:54.303477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0702","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85d51a408218624930f6d0d2ce28720c155937a35387924502ee1fc9b5e3153d","sha256:b0cc3d4b153979071719fa366361370e339d3daea0c33947e9ee3a0557693de4"],"state_sha256":"6d384a2483f9165c8aa53880f71828593c478299da999cb0e63ff858f53f6d25"}