{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:J7MCY2CURIKTDMC5MAGMGWWJJ5","short_pith_number":"pith:J7MCY2CU","canonical_record":{"source":{"id":"1208.4731","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-08-23T11:53:10Z","cross_cats_sorted":[],"title_canon_sha256":"a346b557b907c027d416f375e55f516f7ada63538e81c51f8061454c5b004f57","abstract_canon_sha256":"4d43167db0b45dfb2a2b69a15f6ba68ba1bcb00c784274d64260dbe986c92cc3"},"schema_version":"1.0"},"canonical_sha256":"4fd82c68548a1531b05d600cc35ac94f47d7b5338b325eb312538bdead67a503","source":{"kind":"arxiv","id":"1208.4731","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4731","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4731v3","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4731","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"J7MCY2CURIKT","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"J7MCY2CURIKTDMC5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"J7MCY2CU","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:J7MCY2CURIKTDMC5MAGMGWWJJ5","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4731","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-08-23T11:53:10Z","cross_cats_sorted":[],"title_canon_sha256":"a346b557b907c027d416f375e55f516f7ada63538e81c51f8061454c5b004f57","abstract_canon_sha256":"4d43167db0b45dfb2a2b69a15f6ba68ba1bcb00c784274d64260dbe986c92cc3"},"schema_version":"1.0"},"canonical_sha256":"4fd82c68548a1531b05d600cc35ac94f47d7b5338b325eb312538bdead67a503","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:00.932661Z","signature_b64":"NHuQlbaYvXeN5sJyVhYIW/AeLErR5XKO3Rx/REU5hg7L7jUTBHE+vW5+KijS1nRaSpvc70YrWzy82otEzpeNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fd82c68548a1531b05d600cc35ac94f47d7b5338b325eb312538bdead67a503","last_reissued_at":"2026-05-18T03:41:00.931908Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:00.931908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4731","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JCVSeeBMcqwNekkj/amO8zYGTTiLxDz0R3EfNHiysvQ29l+uaQPT+S9VYCW2UZvjkr/cJOvEzSeqeKBQV1uAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:37:48.336817Z"},"content_sha256":"26fcffb2d8195ff87c4e328f74185d4eb2765de399e1a39e5425bd40435fbdce","schema_version":"1.0","event_id":"sha256:26fcffb2d8195ff87c4e328f74185d4eb2765de399e1a39e5425bd40435fbdce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:J7MCY2CURIKTDMC5MAGMGWWJJ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interaction","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"A. N. Artemyev, A. Surzhykov, M. Mai, S. R. McConnell","submitted_at":"2012-08-23T11:53:10Z","abstract_excerpt":"A non-perturbative approach to the solution of the time-dependent, two-center Dirac equation is presented with a special emphasis on the proper treatment of the potential of the nuclei. In order to account for the full multipole expansion of this potential, we express eigenfunctions of the two-center Hamiltonian in terms of well-known solutions of the \"monopole\" problem that employs solely the spherically-symmetric part of the interaction. When combined with the coupled-channel method, such a wavefunction-expansion technique allows for an accurate description of the electron dynamics in the fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4731","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lkBf35G9BXQqqbqLWNe1yO7kjDTn8bA3bCYdyumAw4EViG54fnWZ2bWkryc5+aWDhA5EuGWmwp4S2nqKQhf6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:37:48.337147Z"},"content_sha256":"f217a43964b933bd33e600bd9857b69b4da16581813d69636e948dd23d908127","schema_version":"1.0","event_id":"sha256:f217a43964b933bd33e600bd9857b69b4da16581813d69636e948dd23d908127"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/bundle.json","state_url":"https://pith.science/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/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":"2026-06-27T17:37:48Z","links":{"resolver":"https://pith.science/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5","bundle":"https://pith.science/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/bundle.json","state":"https://pith.science/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7MCY2CURIKTDMC5MAGMGWWJJ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:J7MCY2CURIKTDMC5MAGMGWWJJ5","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":"4d43167db0b45dfb2a2b69a15f6ba68ba1bcb00c784274d64260dbe986c92cc3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-08-23T11:53:10Z","title_canon_sha256":"a346b557b907c027d416f375e55f516f7ada63538e81c51f8061454c5b004f57"},"schema_version":"1.0","source":{"id":"1208.4731","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4731","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4731v3","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4731","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"J7MCY2CURIKT","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"J7MCY2CURIKTDMC5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"J7MCY2CU","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:f217a43964b933bd33e600bd9857b69b4da16581813d69636e948dd23d908127","target":"graph","created_at":"2026-05-18T03:41:00Z","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":"A non-perturbative approach to the solution of the time-dependent, two-center Dirac equation is presented with a special emphasis on the proper treatment of the potential of the nuclei. In order to account for the full multipole expansion of this potential, we express eigenfunctions of the two-center Hamiltonian in terms of well-known solutions of the \"monopole\" problem that employs solely the spherically-symmetric part of the interaction. When combined with the coupled-channel method, such a wavefunction-expansion technique allows for an accurate description of the electron dynamics in the fi","authors_text":"A. N. Artemyev, A. Surzhykov, M. Mai, S. R. McConnell","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-08-23T11:53:10Z","title":"Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4731","kind":"arxiv","version":3},"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":"sha256:26fcffb2d8195ff87c4e328f74185d4eb2765de399e1a39e5425bd40435fbdce","target":"record","created_at":"2026-05-18T03:41:00Z","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":"4d43167db0b45dfb2a2b69a15f6ba68ba1bcb00c784274d64260dbe986c92cc3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-08-23T11:53:10Z","title_canon_sha256":"a346b557b907c027d416f375e55f516f7ada63538e81c51f8061454c5b004f57"},"schema_version":"1.0","source":{"id":"1208.4731","kind":"arxiv","version":3}},"canonical_sha256":"4fd82c68548a1531b05d600cc35ac94f47d7b5338b325eb312538bdead67a503","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fd82c68548a1531b05d600cc35ac94f47d7b5338b325eb312538bdead67a503","first_computed_at":"2026-05-18T03:41:00.931908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:00.931908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NHuQlbaYvXeN5sJyVhYIW/AeLErR5XKO3Rx/REU5hg7L7jUTBHE+vW5+KijS1nRaSpvc70YrWzy82otEzpeNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:00.932661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4731","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26fcffb2d8195ff87c4e328f74185d4eb2765de399e1a39e5425bd40435fbdce","sha256:f217a43964b933bd33e600bd9857b69b4da16581813d69636e948dd23d908127"],"state_sha256":"834fdf671b5a316d21aa986fb89532251f4f1a8f14af00679c718fabe85c161e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iGRRHvVkhasgUxu2GSw2RBa+vxTZFy71zQFwScqfCSkxh5UQiqDlMD/taz22osn7ts19KHi80+rQpuS/LuXFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:37:48.338934Z","bundle_sha256":"dd60e9df480cc7e411cbcb8771f95c36ce5268d277fe9db176210161caf7a0b8"}}