{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TENBZIABR2DP2S77ELL4O7VRNP","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":"f2049338c2c58cb26ef4dc8f8a1ba6ed524d90800a691689aa68e95d2c06bc5e","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-10-05T14:15:32Z","title_canon_sha256":"822f3e5f18cbc5299736b0bec636f8ae37e23176cb8b49ffbac626aee88c1050"},"schema_version":"1.0","source":{"id":"1610.01431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01431","created_at":"2026-05-18T01:03:07Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01431v1","created_at":"2026-05-18T01:03:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01431","created_at":"2026-05-18T01:03:07Z"},{"alias_kind":"pith_short_12","alias_value":"TENBZIABR2DP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TENBZIABR2DP2S77","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TENBZIAB","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:8968e3f0f55b6645af6aea3f93f3fe2e4d0a20df32bf7a739f50810491aac004","target":"graph","created_at":"2026-05-18T01:03:07Z","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":"Leaning upon the Fock method of the stereographic projection of the three-dimensional momentum space onto the four-dimensional unit sphere the possibility of the analytical solving of the Lippmann-Schwinger integral equation for the partial wave two-body Coulomb transition matrix at the ground bound state energy has been studied. In this case new expressions for the partial p-, d- and f-wave two-body Coulomb transition matrices have been obtained in the simple analytical form. The developed approach can also be extended to determine analytically the partial wave Coulomb transition matrices at ","authors_text":"V. F. Kharchenko","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-10-05T14:15:32Z","title":"Partial-wave Coulomb transition matrices for attractive interaction by Fock's method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01431","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":"sha256:61b12d5475e7f3baa524c7818004a4375aaed5fff04936e3d74f6b664239a7fc","target":"record","created_at":"2026-05-18T01:03:07Z","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":"f2049338c2c58cb26ef4dc8f8a1ba6ed524d90800a691689aa68e95d2c06bc5e","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-10-05T14:15:32Z","title_canon_sha256":"822f3e5f18cbc5299736b0bec636f8ae37e23176cb8b49ffbac626aee88c1050"},"schema_version":"1.0","source":{"id":"1610.01431","kind":"arxiv","version":1}},"canonical_sha256":"991a1ca0018e86fd4bff22d7c77eb16bd4eb498aedfa3c60bd3d197d0ca9cbe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"991a1ca0018e86fd4bff22d7c77eb16bd4eb498aedfa3c60bd3d197d0ca9cbe1","first_computed_at":"2026-05-18T01:03:07.157026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:07.157026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m7hjwkavRUq3mYIX/V6Oce/gdnpPQ7EzkDzNi/5LqaInPvxM206ved+NRmKBNdx8H8hlbcu1ZS5JTYhh/2nbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:07.157485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61b12d5475e7f3baa524c7818004a4375aaed5fff04936e3d74f6b664239a7fc","sha256:8968e3f0f55b6645af6aea3f93f3fe2e4d0a20df32bf7a739f50810491aac004"],"state_sha256":"bf241a13e7be239a86248884f2fa9c33e5865306e68b2247851353f1f42194a2"}