{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:OAR5KRTJTPJ2QJCTEVFVZ4PQKF","short_pith_number":"pith:OAR5KRTJ","schema_version":"1.0","canonical_sha256":"7023d546699bd3a82453254b5cf1f0515b2bbee697036ca4d4bc7601409b7f9d","source":{"kind":"arxiv","id":"2211.14113","version":1},"attestation_state":"computed","paper":{"title":"Rutherford scattering of quantum and classical fields","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Cyril Pitrou, Giulia Cusin, Jean-Philippe Uzan, Martin Pijnenburg","submitted_at":"2022-11-25T13:57:26Z","abstract_excerpt":"Quantum Rutherford scattering and scattering of classical waves off Coulomb-like potentials have similar formal structures and can be studied using the same mathematical techniques. In both contexts, the long-range nature of the interaction leads to a divergent total cross-section, which has been interpreted and regularized in various ways in the past literature. We review in detail the origin of this divergence, in both real and multipole spaces, and show that it arises from incorrectly using approximations out of their domain of validity. We also stress that although classical and quantum Ru"},"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":"2211.14113","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-11-25T13:57:26Z","cross_cats_sorted":["gr-qc","math.MP","quant-ph"],"title_canon_sha256":"a3b5aa076858cba36d2adf9a64941787c70d840a9f26c19dda6276893953e19f","abstract_canon_sha256":"ff3ee36645a8c309919d787e0a0af001c0def37c6467bc3ca7dbd273c79d0cab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:19:29.683725Z","signature_b64":"+xj1CO1j6B4n8ByAxPAg7coevLnH6uA5wlU2QWtYNAm16clEp/vdYFFzrsqRwqzkXYOhWTvT8rrxpq7JXNgJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7023d546699bd3a82453254b5cf1f0515b2bbee697036ca4d4bc7601409b7f9d","last_reissued_at":"2026-07-05T05:19:29.683231Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:19:29.683231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rutherford scattering of quantum and classical fields","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Cyril Pitrou, Giulia Cusin, Jean-Philippe Uzan, Martin Pijnenburg","submitted_at":"2022-11-25T13:57:26Z","abstract_excerpt":"Quantum Rutherford scattering and scattering of classical waves off Coulomb-like potentials have similar formal structures and can be studied using the same mathematical techniques. In both contexts, the long-range nature of the interaction leads to a divergent total cross-section, which has been interpreted and regularized in various ways in the past literature. We review in detail the origin of this divergence, in both real and multipole spaces, and show that it arises from incorrectly using approximations out of their domain of validity. We also stress that although classical and quantum Ru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.14113","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/2211.14113/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2211.14113","created_at":"2026-07-05T05:19:29.683287+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.14113v1","created_at":"2026-07-05T05:19:29.683287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.14113","created_at":"2026-07-05T05:19:29.683287+00:00"},{"alias_kind":"pith_short_12","alias_value":"OAR5KRTJTPJ2","created_at":"2026-07-05T05:19:29.683287+00:00"},{"alias_kind":"pith_short_16","alias_value":"OAR5KRTJTPJ2QJCT","created_at":"2026-07-05T05:19:29.683287+00:00"},{"alias_kind":"pith_short_8","alias_value":"OAR5KRTJ","created_at":"2026-07-05T05:19:29.683287+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.19451","citing_title":"Total absorption of tailored incoming signals by black holes","ref_index":11,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF","json":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF.json","graph_json":"https://pith.science/api/pith-number/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/graph.json","events_json":"https://pith.science/api/pith-number/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/events.json","paper":"https://pith.science/paper/OAR5KRTJ"},"agent_actions":{"view_html":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF","download_json":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF.json","view_paper":"https://pith.science/paper/OAR5KRTJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.14113&json=true","fetch_graph":"https://pith.science/api/pith-number/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/graph.json","fetch_events":"https://pith.science/api/pith-number/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/action/storage_attestation","attest_author":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/action/author_attestation","sign_citation":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/action/citation_signature","submit_replication":"https://pith.science/pith/OAR5KRTJTPJ2QJCTEVFVZ4PQKF/action/replication_record"}},"created_at":"2026-07-05T05:19:29.683287+00:00","updated_at":"2026-07-05T05:19:29.683287+00:00"}