{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RTID3NHU6KE44R4XE24UGQVL5R","short_pith_number":"pith:RTID3NHU","schema_version":"1.0","canonical_sha256":"8cd03db4f4f289ce479726b94342abec6090cafd4e1f0bee5ec84ed8e32be443","source":{"kind":"arxiv","id":"1112.5607","version":1},"attestation_state":"computed","paper":{"title":"Transition probability functions for inelastic electron--electron scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Peter Schattschneider, Stefan L\\\"offler","submitted_at":"2011-12-23T15:58:05Z","abstract_excerpt":"In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in the Slater-type and the hydrogen-like orbital models. These expressions are shown to be composed of a finite sum of polynomials and elementary trigonometric functions. Hence, they are easy to use, require little computation time, and are significantly more accurate than commonly used approximations."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1112.5607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-12-23T15:58:05Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"7f2160280ebcee20f1b166592239096e6a4e05fc93517343ce5599b1d49cf5d8","abstract_canon_sha256":"8f3579d3174df6830a3ac5557e4d5a6b7824b5bbfb0aed18188ae7b441d22b44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:54.072693Z","signature_b64":"UjTHNxqIVDtEW30bvhVcC14agENNxnK+pwm9UwLACOM230QX6RsfDDUk4RzfLT+LBR9LvOr20aexaC7eitcgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cd03db4f4f289ce479726b94342abec6090cafd4e1f0bee5ec84ed8e32be443","last_reissued_at":"2026-05-18T03:28:54.072213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:54.072213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transition probability functions for inelastic electron--electron scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Peter Schattschneider, Stefan L\\\"offler","submitted_at":"2011-12-23T15:58:05Z","abstract_excerpt":"In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in the Slater-type and the hydrogen-like orbital models. These expressions are shown to be composed of a finite sum of polynomials and elementary trigonometric functions. Hence, they are easy to use, require little computation time, and are significantly more accurate than commonly used approximations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5607","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1112.5607","created_at":"2026-05-18T03:28:54.072284+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5607v1","created_at":"2026-05-18T03:28:54.072284+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5607","created_at":"2026-05-18T03:28:54.072284+00:00"},{"alias_kind":"pith_short_12","alias_value":"RTID3NHU6KE4","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RTID3NHU6KE44R4X","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RTID3NHU","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R","json":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R.json","graph_json":"https://pith.science/api/pith-number/RTID3NHU6KE44R4XE24UGQVL5R/graph.json","events_json":"https://pith.science/api/pith-number/RTID3NHU6KE44R4XE24UGQVL5R/events.json","paper":"https://pith.science/paper/RTID3NHU"},"agent_actions":{"view_html":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R","download_json":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R.json","view_paper":"https://pith.science/paper/RTID3NHU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5607&json=true","fetch_graph":"https://pith.science/api/pith-number/RTID3NHU6KE44R4XE24UGQVL5R/graph.json","fetch_events":"https://pith.science/api/pith-number/RTID3NHU6KE44R4XE24UGQVL5R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R/action/storage_attestation","attest_author":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R/action/author_attestation","sign_citation":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R/action/citation_signature","submit_replication":"https://pith.science/pith/RTID3NHU6KE44R4XE24UGQVL5R/action/replication_record"}},"created_at":"2026-05-18T03:28:54.072284+00:00","updated_at":"2026-05-18T03:28:54.072284+00:00"}