{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:ARVU56S7Z6QUMQERDWGIJQRMBE","short_pith_number":"pith:ARVU56S7","schema_version":"1.0","canonical_sha256":"046b4efa5fcfa14640911d8c84c22c09217f75b2af532ed1a7f89332274e79bb","source":{"kind":"arxiv","id":"2406.03540","version":1},"attestation_state":"computed","paper":{"title":"Recursion for Wilson-line Form Factors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Marc Riembau, Timothy Cohen","submitted_at":"2024-06-05T18:00:03Z","abstract_excerpt":"Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification starting from a Maximally Helicity Violating configuration, in close analogy with gauge theory amplitudes. We show that a single-line complex momentum shift can be used to derive recursion relations that efficiently compute these helicity form factors at tree-level: a combination of lower point form factors and on-shell amplitudes serve as the input building bl"},"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":"2406.03540","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-06-05T18:00:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1fc119a559e5d24afec4f19eda40154bc3a3bb2051867a93343449b9b9c04c83","abstract_canon_sha256":"5f2be8eb931cf0e12cc36a73a5b064faf8ac9393d285b90391655268d9dcd77d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:28:12.740519Z","signature_b64":"QM/tB9ryPzGn+KEh+zjA012T9gleNIkmB5I772+J9nc86l7Y6CeNiV97rWrv5Uk8rpl6yDL40vC7N0T7FUQdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"046b4efa5fcfa14640911d8c84c22c09217f75b2af532ed1a7f89332274e79bb","last_reissued_at":"2026-07-05T08:28:12.740102Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:28:12.740102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recursion for Wilson-line Form Factors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Marc Riembau, Timothy Cohen","submitted_at":"2024-06-05T18:00:03Z","abstract_excerpt":"Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification starting from a Maximally Helicity Violating configuration, in close analogy with gauge theory amplitudes. We show that a single-line complex momentum shift can be used to derive recursion relations that efficiently compute these helicity form factors at tree-level: a combination of lower point form factors and on-shell amplitudes serve as the input building bl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03540","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/2406.03540/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":"2406.03540","created_at":"2026-07-05T08:28:12.740158+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.03540v1","created_at":"2026-07-05T08:28:12.740158+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03540","created_at":"2026-07-05T08:28:12.740158+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARVU56S7Z6QU","created_at":"2026-07-05T08:28:12.740158+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARVU56S7Z6QUMQER","created_at":"2026-07-05T08:28:12.740158+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARVU56S7","created_at":"2026-07-05T08:28:12.740158+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/ARVU56S7Z6QUMQERDWGIJQRMBE","json":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE.json","graph_json":"https://pith.science/api/pith-number/ARVU56S7Z6QUMQERDWGIJQRMBE/graph.json","events_json":"https://pith.science/api/pith-number/ARVU56S7Z6QUMQERDWGIJQRMBE/events.json","paper":"https://pith.science/paper/ARVU56S7"},"agent_actions":{"view_html":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE","download_json":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE.json","view_paper":"https://pith.science/paper/ARVU56S7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.03540&json=true","fetch_graph":"https://pith.science/api/pith-number/ARVU56S7Z6QUMQERDWGIJQRMBE/graph.json","fetch_events":"https://pith.science/api/pith-number/ARVU56S7Z6QUMQERDWGIJQRMBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE/action/storage_attestation","attest_author":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE/action/author_attestation","sign_citation":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE/action/citation_signature","submit_replication":"https://pith.science/pith/ARVU56S7Z6QUMQERDWGIJQRMBE/action/replication_record"}},"created_at":"2026-07-05T08:28:12.740158+00:00","updated_at":"2026-07-05T08:28:12.740158+00:00"}