{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QL6KPOAMF67G7YXF73ZX2ZTXUG","short_pith_number":"pith:QL6KPOAM","schema_version":"1.0","canonical_sha256":"82fca7b80c2fbe6fe2e5fef37d6677a1b367c1eb35a40c00a749325eab6b586a","source":{"kind":"arxiv","id":"2311.14638","version":1},"attestation_state":"computed","paper":{"title":"Master Formulae for $N$-photon tree level amplitudes in plane wave backgrounds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Anton Ilderton, James P. Edwards, Karthik Rajeev, Patrick Copinger","submitted_at":"2023-11-24T18:10:53Z","abstract_excerpt":"The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present `Master Formulae' for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulae are valid in the strong-field regime of current theoretical and experimental interest."},"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":"2311.14638","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-24T18:10:53Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"cabd32da1b916ede3c04e851b220e6446ac7a750f10f57ef647bb017e5a3607d","abstract_canon_sha256":"82a58a493be9872f89454c3e227f08dcd3a2e0d339a48c03bf88b953fedbb336"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:16:22.139288Z","signature_b64":"FohH3DvquFycWuUx6vsGN1DPg+R4PWcN8bvM25S0wmLWU8YyGvJD2kdp3hXpgvriSGprePNILFZc4z6tt5qtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82fca7b80c2fbe6fe2e5fef37d6677a1b367c1eb35a40c00a749325eab6b586a","last_reissued_at":"2026-07-05T07:16:22.138820Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:16:22.138820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Master Formulae for $N$-photon tree level amplitudes in plane wave backgrounds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Anton Ilderton, James P. Edwards, Karthik Rajeev, Patrick Copinger","submitted_at":"2023-11-24T18:10:53Z","abstract_excerpt":"The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present `Master Formulae' for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulae are valid in the strong-field regime of current theoretical and experimental interest."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14638","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/2311.14638/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":"2311.14638","created_at":"2026-07-05T07:16:22.138881+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.14638v1","created_at":"2026-07-05T07:16:22.138881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.14638","created_at":"2026-07-05T07:16:22.138881+00:00"},{"alias_kind":"pith_short_12","alias_value":"QL6KPOAMF67G","created_at":"2026-07-05T07:16:22.138881+00:00"},{"alias_kind":"pith_short_16","alias_value":"QL6KPOAMF67G7YXF","created_at":"2026-07-05T07:16:22.138881+00:00"},{"alias_kind":"pith_short_8","alias_value":"QL6KPOAM","created_at":"2026-07-05T07:16:22.138881+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.00105","citing_title":"Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes","ref_index":62,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG","json":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG.json","graph_json":"https://pith.science/api/pith-number/QL6KPOAMF67G7YXF73ZX2ZTXUG/graph.json","events_json":"https://pith.science/api/pith-number/QL6KPOAMF67G7YXF73ZX2ZTXUG/events.json","paper":"https://pith.science/paper/QL6KPOAM"},"agent_actions":{"view_html":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG","download_json":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG.json","view_paper":"https://pith.science/paper/QL6KPOAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.14638&json=true","fetch_graph":"https://pith.science/api/pith-number/QL6KPOAMF67G7YXF73ZX2ZTXUG/graph.json","fetch_events":"https://pith.science/api/pith-number/QL6KPOAMF67G7YXF73ZX2ZTXUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG/action/storage_attestation","attest_author":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG/action/author_attestation","sign_citation":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG/action/citation_signature","submit_replication":"https://pith.science/pith/QL6KPOAMF67G7YXF73ZX2ZTXUG/action/replication_record"}},"created_at":"2026-07-05T07:16:22.138881+00:00","updated_at":"2026-07-05T07:16:22.138881+00:00"}