{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HRI3APXGL27B2HJSGWWFW4LKPG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c80f7049ff980a3378d73828a5abbf2ab305884aad5ef9a89a228d6066111467","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-09T21:00:00Z","title_canon_sha256":"0cf898700c1229e89ed2b518cd0cfeb3d67f13dd10ba31e4e02b4e46e308432d"},"schema_version":"1.0","source":{"id":"1412.3108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3108","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3108v2","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3108","created_at":"2026-05-18T02:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"HRI3APXGL27B","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HRI3APXGL27B2HJS","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HRI3APXG","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:73bb632d7c252964c38516022df7d24fd7451697ca33a3b7355477d2a2e50f22","target":"graph","created_at":"2026-05-18T02:00:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The singular limits of massless gauge theory amplitudes are described by an effective theory, called soft-collinear effective theory (SCET), which has been applied most successfully to make all-orders predictions for observables in collider physics and weak decays. At tree-level, the emission of a soft gauge boson at subleading order in its energy is given by the Low-Burnett-Kroll theorem, with the angular momentum operator acting on a lower-point amplitude. For well separated particles at tree-level, we prove the Low-Burnett-Kroll theorem using matrix elements of subleading SCET Lagrangian an","authors_text":"Andrew J. Larkoski, Duff Neill, Iain W. Stewart","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-09T21:00:00Z","title":"Soft Theorems from Effective Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3108","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9a278b89f99a523e41f052837c5d9147a37bff44caaee96ab86ea3767ac80a2f","target":"record","created_at":"2026-05-18T02:00:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c80f7049ff980a3378d73828a5abbf2ab305884aad5ef9a89a228d6066111467","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-09T21:00:00Z","title_canon_sha256":"0cf898700c1229e89ed2b518cd0cfeb3d67f13dd10ba31e4e02b4e46e308432d"},"schema_version":"1.0","source":{"id":"1412.3108","kind":"arxiv","version":2}},"canonical_sha256":"3c51b03ee65ebe1d1d3235ac5b716a79a234192f4fda7c6fa7a9c41eda1191c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c51b03ee65ebe1d1d3235ac5b716a79a234192f4fda7c6fa7a9c41eda1191c2","first_computed_at":"2026-05-18T02:00:58.723726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:58.723726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LBqk+GJ5vRdb/ZBQtthM7lDYSU9lthrmB9qfhavnsivww4i6Yd7zi6R0yTZPFpz6OBRdOGbuzvavpdYE5QXvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:58.724358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a278b89f99a523e41f052837c5d9147a37bff44caaee96ab86ea3767ac80a2f","sha256:73bb632d7c252964c38516022df7d24fd7451697ca33a3b7355477d2a2e50f22"],"state_sha256":"6ddcfac00601a8bb61d121b9a0e38fc72c1a74d537814337aaeee13514c3cba6"}