{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JW4DJLBAZWTRZHGM66ZYABNIOG","short_pith_number":"pith:JW4DJLBA","schema_version":"1.0","canonical_sha256":"4db834ac20cda71c9cccf7b38005a871a65fa0b13988de42847632cf281bf049","source":{"kind":"arxiv","id":"2608.05285","version":1},"attestation_state":"computed","paper":{"title":"$N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gustavo Bispo, Sylvain Fichet","submitted_at":"2026-08-05T18:00:02Z","abstract_excerpt":"We present a recursive framework for computing arbitrary tree-level helicity amplitudes in the general effective field theory (EFT) of electromagnetism. We show that photon amplitudes can be constructed using a CSW-like recursion, whose building blocks consist of purely local subamplitudes. For a fixed number of external legs, only a finite number of these contact amplitudes need to be computed, and these admit compact expressions in terms of Hafnians. We further show that the contact amplitudes are encoded in an effective contact Lagrangian, that can be computed systematically from the genera"},"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":"2608.05285","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-08-05T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"215aa83abce0bd41febd8e90c311e891ee61ec453f20dc1a2eec37c68be3e53a","abstract_canon_sha256":"7bea218e5b42c320e38ad84a3904258b4e9591f3d15b4bb730e83bcd5a680e16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:46:40.711337Z","signature_b64":"FWocSthn2BG7SNA5Mtd2BhE4ATRRiW12tG15V9KrPe6fc1Gb+u/l5cFd0JAfQyV+6GEFVxb2f/+VABK0ITMNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4db834ac20cda71c9cccf7b38005a871a65fa0b13988de42847632cf281bf049","last_reissued_at":"2026-08-07T00:46:40.709902Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:46:40.709902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gustavo Bispo, Sylvain Fichet","submitted_at":"2026-08-05T18:00:02Z","abstract_excerpt":"We present a recursive framework for computing arbitrary tree-level helicity amplitudes in the general effective field theory (EFT) of electromagnetism. We show that photon amplitudes can be constructed using a CSW-like recursion, whose building blocks consist of purely local subamplitudes. For a fixed number of external legs, only a finite number of these contact amplitudes need to be computed, and these admit compact expressions in terms of Hafnians. We further show that the contact amplitudes are encoded in an effective contact Lagrangian, that can be computed systematically from the genera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05285","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/2608.05285/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":"2608.05285","created_at":"2026-08-07T00:46:40.711239+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.05285v1","created_at":"2026-08-07T00:46:40.711239+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05285","created_at":"2026-08-07T00:46:40.711239+00:00"},{"alias_kind":"pith_short_12","alias_value":"JW4DJLBAZWTR","created_at":"2026-08-07T00:46:40.711239+00:00"},{"alias_kind":"pith_short_16","alias_value":"JW4DJLBAZWTRZHGM","created_at":"2026-08-07T00:46:40.711239+00:00"},{"alias_kind":"pith_short_8","alias_value":"JW4DJLBA","created_at":"2026-08-07T00:46:40.711239+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/JW4DJLBAZWTRZHGM66ZYABNIOG","json":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG.json","graph_json":"https://pith.science/api/pith-number/JW4DJLBAZWTRZHGM66ZYABNIOG/graph.json","events_json":"https://pith.science/api/pith-number/JW4DJLBAZWTRZHGM66ZYABNIOG/events.json","paper":"https://pith.science/paper/JW4DJLBA"},"agent_actions":{"view_html":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG","download_json":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG.json","view_paper":"https://pith.science/paper/JW4DJLBA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.05285&json=true","fetch_graph":"https://pith.science/api/pith-number/JW4DJLBAZWTRZHGM66ZYABNIOG/graph.json","fetch_events":"https://pith.science/api/pith-number/JW4DJLBAZWTRZHGM66ZYABNIOG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG/action/storage_attestation","attest_author":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG/action/author_attestation","sign_citation":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG/action/citation_signature","submit_replication":"https://pith.science/pith/JW4DJLBAZWTRZHGM66ZYABNIOG/action/replication_record"}},"created_at":"2026-08-07T00:46:40.711239+00:00","updated_at":"2026-08-07T00:46:40.711239+00:00"}